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ENDEAVORING THE ROLE OF OBESITY IN EXTRACELLULAR MATRIX DEGRADATION LEADING TO METASTASIS J. Biol. Syst. (IF 1.6) Pub Date : 2024-02-06 ANI JAIN, PARIMITA ROY
One of the significant causes of death globally is cancer (http://www.who.org/). Another critical problem is obesity, which is associated with an increased cancer threat. This work provides insight into how obesity contributes to cancer progression and metastasis. We developed a diffusive obesity-cancer model consisting of cancer cells, normal cells, fat cells, macrophages, and an extracellular matrix
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MATHEMATICAL MODEL FOR SYSTEM DYNAMICS OF (Ca2+) AND DOPAMINE IN A FIBROBLAST CELL J. Biol. Syst. (IF 1.6) Pub Date : 2024-02-01 ANKIT KOTHIYA, NEERU ADLAKHA
Fibroblasts significantly affect wound healing, cancer progression and development. Disturbances in the calcium (Ca2+) and dopamine (DA) dynamics leads to fibrotic disorders like cancer and fibrosis. Calcium signaling is required for DA concentrations in fibroblasts. Alteration in the many processes of Ca2+ kinetics can disturb DA regulation in fibroblast cells. No model has been reported till date
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OPTIMAL CONTROL ON FRACTIONAL ENZYME KINETICS WITH INHIBITORS J. Biol. Syst. (IF 1.6) Pub Date : 2024-02-01 M. VELLAPPANDI, J. KOKILA, V. GOVINDARAJ
In enzyme kinetic chemical reaction, inhibitors are working as a regulators of the metabolism of the systems and the biochemical activities as well. The main focus of this study is to explore the fractional dynamics of enzyme kinetic biochemical reactions with competitive and uncompetitive inhibitors. Further, the analysis continuous with the optimal controls on the system which accelerate biochemical
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FREQUENCY SYNCHRONIZATION REVEALS THAT SPIKE-WAVE DISCHARGES IN WAG/RIJ RATS ARE SIGNIFICANTLY NONLINEAR PHENOMENON J. Biol. Syst. (IF 1.6) Pub Date : 2024-01-11 ANASTASIYA YU. DOLININA, MARINA V. SYSOEVA, CLEMENTINA M. VAN RIJN, ILYA V. SYSOEV
In this work, we studied the time-frequency dynamics of spike-wave discharges in rats with predisposition to absence epilepsy (WAG/Rij line) in two frequency ranges: 7–12Hz and 14–24Hz. The first and the second harmonics of the seizure main frequency lie in these ranges. Recordings of brain local field potentials of eight animals in eleven experiments of eight hour duration were analyzed. The method
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FLOW IN A CATHETERIZED EXPONENTIALLY DIVERGING TUBE WITH A PERIPHERAL LAYER OF DIFFERENT VISCOSITY BY MEANS OF PERISTALTIC WAVES OF DILATING AMPLITUDE J. Biol. Syst. (IF 1.6) Pub Date : 2024-01-11 SANJAY KUMAR PANDEY, ANUPAM KUMAR PANDEY
In this paper, we investigate the impact of catheterization on swallowing if esophagus suffers from a hiatus hernia. It is modeled as a partially diverging tube having a peripheral layer of different viscosity besides the core layer. The model duly considers mass conservation in the two layers separately. It is inferred that even in the presence of a catheter inside esophagus, any sliding herniation
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FILIPPOV TYPE PREY–PREDATOR SYSTEM FOR SELECTIVE HARVESTING OF PREY J. Biol. Syst. (IF 1.6) Pub Date : 2024-01-10 UGANTA YADAV, A. K. NAYAK, SUNITA GAKKHAR
In this paper, the dynamics of a Filippov system with logistically growing prey and Holling Type II predation is explored. The selective nonlinear harvesting of prey is carried out when the ratio of prey to predator is above a specified threshold value. In order to prevent the extinction of both the species and sustainable economic gains, no harvesting is allowed when the ratio is below a threshold
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MODELING THE IMPACT OF RAINFALL AND TEMPERATURE ON STERILE INSECT CONTROL STRATEGIES IN A TROPICAL ENVIRONMENT J. Biol. Syst. (IF 1.6) Pub Date : 2024-01-05 Y. DUMONT, M. DUPREZ
The sterile insect technique (SIT) is a biological control technique that can be used either to eliminate or decay a wild mosquito population under a given threshold to reduce the nuisance or the epidemiological risk. In this work, we propose a model using a differential system that takes into account the variations of rainfall and temperature over time and study their impacts on sterile males’ releases
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INVERTEBRATES AND CATTLE POPULATION DYNAMICS IN A GRASSLAND ENVIRONMENT: A NONLINEAR INTER-SPECIFIC COMPETITION MODEL J. Biol. Syst. (IF 1.6) Pub Date : 2023-12-30 ABHINAV TANDON, VAISHNUDEBI DUTTA
In the proposed study, a nonlinear model is developed to explore the interactive dynamics between cattle and invertebrates when they coexist in a grassland system and compete with one another for the same resource — the grass biomass. The constructed model is theoretically investigated using the qualitative theory of differential equations to show the system’s rich dynamical properties, which are crucial
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AN EPIDEMIC MODEL WITH SATURATED DIGITAL CONTACT TRACING FUNCTION: BIFURCATION AND ANALYSIS J. Biol. Syst. (IF 1.6) Pub Date : 2023-12-29 SIBO DING, PENGBO FU, LINSHUANG YUAN
In this paper, we develop an epidemic model with a nonlinear function that describes the saturated digital contact tracing. The model is theoretically and numerically analyzed based on its dynamics. The model equilibria points and the basic reproduction number are obtained. However, the proposed model reveals both backward and forward bifurcation, and backward bifurcation occurs when the digital contact
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MODELING AND ANALYZING DYNAMIC INFORMATION PROPAGATION ON SINA WEIBO IN A SEMI-DIRECTED NETWORK J. Biol. Syst. (IF 1.6) Pub Date : 2023-12-27 FULIAN YIN, YUWEI SHE, QIANYI YANG, HONGYU PANG, YANJING HUANG, JIANHONG WU
In reality, the dissemination of information about COVID-19 vaccines typically involves a combination of opinion leaders and self-organizing networks, with each node being exposed to information in varying ways. However, conventional models often assume homogeneity in networks, treating all nodes as equal in terms of propagation probabilities within a fixed timeframe, thereby neglecting the inherent
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DETERMINISTIC AND STOCHASTIC ANALYSIS OF A SIZE-DEPENDENT PHYTOPLANKTON–ZOOPLANKTON MODEL WITH ADDITIVE ALLEE EFFECT J. Biol. Syst. (IF 1.6) Pub Date : 2023-12-27 TIANCAI LIAO, XINYANG RUAN
In this paper, a deterministic size-dependent phytoplankton–zooplankton (PZ) model with additive Allee effect as well as its stochastic differential equation version is formulated to explore the growth dynamic of phytoplankton. A stability and Hopf bifurcation analysis is performed towards deterministic PZ model, and stochastic dynamic analysis is carried out on the stochastic PZ model, including the
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ROLE OF SPACE IN AN ECO-EPIDEMIC PREDATOR-PREY SYSTEM WITH THE EFFECT OF FEAR AND SELECTIVE PREDATION J. Biol. Syst. (IF 1.6) Pub Date : 2023-08-17 SASANKA SHEKHAR MAITY, PANKAJ KUMAR TIWARI, ZHISHENG SHUAI, SAMARES PAL
In ecological systems, the fear of predation risk asserts a privilege to the prey species by restricting their exposure to the potential predators. It also imposes costs by constraining the exploration of optimal resources. Additional foods for predators play a pivotal role in the biological conservation programs. The predators have ability to distinguish between the susceptible and infected prey items
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A SEASONALLY FORCED ECO-EPIDEMIC MODEL WITH DISEASE IN PREDATOR AND INCUBATION DELAY J. Biol. Syst. (IF 1.6) Pub Date : 2023-08-17 PRABIR SEN, SUDIP SAMANTA, MAHAMMAD YASIN KHAN, SAYAN MANDAL, PANKAJ KUMAR TIWARI
Our current research is based on the investigation of an eco-epidemiological model that solely includes illness in predators. Predators, both healthy and diseased, are thought to consume prey and breed; however, the offsprings are expected to be vulnerable. To achieve a more realistic and explicit outcome of the existing phenomena correlated with our model system, we consider that the process of disease
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MATHEMATICAL MODELING OF INFECTION MECHANISM BETWEEN MILD AND SEVERE COVID-19 PATIENTS J. Biol. Syst. (IF 1.6) Pub Date : 2023-08-17 QING LAN, HUI WU, JIE LOU, JIANQUAN LI
The SARS-CoV-2 leads to a worldwide COVID-19 pandemic, which has caused tremendous damage to the world. In this paper, we develop a dynamic model in vivo, fitting and estimating parameters for T lymphocytes and pro-inflammatory cytokines IL-6 in patients with mild and severe COVID-19 at Yale New Haven Hospital through the GWMCMC algorithm. Meanwhile, we also analyze the structural identifiability and
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BIFURCATION ANALYSIS OF A MODIFIED LESLIE–GOWER PREDATOR–PREY MODEL WITH HUNTING COOPERATION AND FAVORABLE ADDITIONAL FOOD FOR PREDATOR J. Biol. Syst. (IF 1.6) Pub Date : 2023-08-17 SHILPA SAMADDAR, MAUSUMI DHAR, PARITOSH BHATTACHARYA, UTTAM GHOSH
In this paper, we consider a modified Lasslie–Gower-type predator–prey model with the effect of hunting cooperation and favorable additional food for predator. We establish the conditions of positivity, boundedness, and permanence of solutions of the proposed model. Along with the trivial, predator free, prey free equilibrium points the system contains at most two coexistence equilibrium points. The
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COMBINED IMPACT OF CANNIBALISM AND ALLEE EFFECT ON THE DYNAMICS OF A PREY–PREDATOR MODEL J. Biol. Syst. (IF 1.6) Pub Date : 2023-08-17 UDAI KUMAR, PARTHA SARATHI MANDAL
In ecological environment, Allee effect is one of the important factors which cause significant changes to the system dynamics. In this paper, using the theory of dynamical systems, we analyze a variation of a standard cannibalistic two-dimensional prey–predator model with Holling type-II functional response in the presence of both weak and strong Allee effects. We have analyzed the impact of strong
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BIFURCATION CONTROL STRATEGY FOR A DELAYED FRACTIONAL-ORDER POPULATION DYNAMICS MODEL WITH INCOMMENSURATE ORDERS J. Biol. Syst. (IF 1.6) Pub Date : 2023-08-05 HAO QI, WENCAI ZHAO
This paper excogitates a bifurcation control strategy for a delayed fractional-order population dynamics model with incommensurate orders. First and foremost, by using stability theory of fractional differential equations, the sufficient conditions for the stability of the positive equilibrium are established. It is not difficult to find that the fractional-order system has a wider stability region
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INVASION AND SUPERINFECTION IN DETERMINISTIC AND STOCHASTIC TWO-STRAIN DENGUE MODELS WITH DEMOGRAPHIC AND SEASONAL VARIATION J. Biol. Syst. (IF 1.6) Pub Date : 2023-08-05 KANIZ FATEMA NIPA, SOPHIA R. JANG, LINDA J. S. ALLEN
The effects of seasonality on disease invasion and superinfection are investigated in dengue epidemic models with two viral strains. A two-strain host–vector nonautonomous ODE is formulated with seasonal periodicity in either vector recruitment or transmission. The basic reproduction number is derived and the dynamics of the single-strain periodic subsystem are summarized. Conditions for uniform persistence
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BIFURCATION ANALYSIS OF AN ALLELOPATHIC PHYTOPLANKTON MODEL J. Biol. Syst. (IF 1.6) Pub Date : 2023-08-03 SHANGMING CHEN, FENGDE CHEN, ZHONG LI, LIJUAN CHEN
This paper analyzes an allelopathic phytoplankton competition model, which was proposed by Bandyopadhyay [Dynamical analysis of a allelopathic phytoplankton model, J Biol Syst14(02):205–217, 2006]. Our study refines the previous results and finds at most three positive equilibria for the system. The existence conditions of all positive equilibria and the corresponding stability cases are given in the
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MODELING AND SYNTHESIS OF THE WISTAR RAT ELECTROCARDIOGRAM J. Biol. Syst. (IF 1.6) Pub Date : 2023-08-03 SANTIAGO FEDERICO CARACCIOLO, JAVIER GUSTAVO MENDIETA, PEDRO DAVID ARINI
In this work, we present a synthesizer of electrocardiographic signals of the experimental model of the Wistar rat. Firstly, we modeled the P, R, and S waves using Gaussian functions, while for the T-wave, we used a Gumbel function. We validated the proposed model using a Wistar rat electrocardiogram database, which contains 41 animals with 62,907 beats. Model global performance was CC (correlation
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MODELING THE EFFECTS OF TV AND SOCIAL MEDIA ADVERTISEMENTS ON DIABETES J. Biol. Syst. (IF 1.6) Pub Date : 2023-07-25 ARVIND KUMAR MISRA, MAMTA KUMARI
Diabetes is a widespread non-contagious disease, and a significant fraction of human population in the world is affected by it. Lifestyle changes including physical activities and a healthy diet can prevent or delay the onset of diabetes and its complications. In this paper, nonlinear mathematical models are proposed and analyzed to study the role of awareness in the prevention of diabetes. In model
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STOCHASTIC DYNAMICS BETWEEN THE IMMUNE SYSTEM AND CANCER CELLS WITH ALLEE EFFECT AND IMMUNOTHERAPY J. Biol. Syst. (IF 1.6) Pub Date : 2023-07-14 EYMARD HERNÁNDEZ-LÓPEZ, MAYRA NÚÑEZ-LÓPEZ, MARCOS A. CAPISTRÁN
In this work, we use continuous-time Markov jump processes and the corresponding zero fluctuation ordinary differential equations to analyze the relation between immune response and cancerous cells. We incorporate the Allee effect into our model to show that intrinsic stochasticity and nonlinearity may interact in elimination, equilibrium, and escape mechanisms in the low-count regime. Later, we consider
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DYNAMICAL BEHAVIORS OF A CLASS OF STOCHASTIC TUMOR–IMMUNE SYSTEMS J. Biol. Syst. (IF 1.6) Pub Date : 2023-06-08 ZHEN WANG, MENGMENG JIN
In this paper, we consider a class of tumor–immune systems perturbed by the environmental noise and focus on the longtime behaviors. The existence and uniqueness of the globally positive solution to the tumor–immune system are proved using stochastic Lyapunov analysis and Itô’s formula. We study the boundedness of moments for tumor cells and effector cells. By considering the dynamics on the boundary
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GENERAL THEORY FOR SIGNIFICANCE OF CULLING IN TWO-WAY DISEASE TRANSMISSION BETWEEN HUMANS AND ANIMALS J. Biol. Syst. (IF 1.6) Pub Date : 2023-06-07 SARITA BUGALIA, JAI PRAKASH TRIPATHI, SYED ABAAS, HAO WANG
An epidemic model is proposed to comprehend the disease dynamics between humans and animals and back to humans with a culling intervention strategy. The proposed model is separated into two cases with two different culling rates: (1) at a per-capita constant rate and (2) constant population being culled. The global asymptotic stability of equilibria is determined in terms of the basic reproduction
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AN OSCILLATORY MODEL FOR GLOBALLY STABLE PROTEIN TRANSCRIPTION DYNAMICS J. Biol. Syst. (IF 1.6) Pub Date : 2023-06-07 HOMERO G. DÍAZ-MARÍN, OSVALDO OSUNA, GEISER VILLAVICENCIO-PULIDO
Oscillations appear in all levels of biological organization. Oscillatory phenomena do not always possess a simple periodic nature. In this work, we analyze a gene transcriptional network in which we assume an almost periodic input that regulates gene. We use an almost periodic input k(t) since a periodic one is very restrictive. We show that the almost periodic model proposed has a unique almost periodic
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THE BEHAVIOR OF A CLASS HOST-PARASITOID MODELS WITH HOST REFUGE AND STRONG ALLEE EFFECT UPON THE HOST POPULATION J. Biol. Syst. (IF 1.6) Pub Date : 2023-06-05 S. KALABUŠIĆ, E. PILAV
This paper studies the dynamics of a class of host-parasitoid models with host refuge and the strong Allee effect upon the host population. Without the parasitoid population, the Beverton–Holt equation governs the host population. The general probability function describes the portion of the hosts that are safe from parasitism. The existence and local behavior of solutions around the equilibrium points
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OPPORTUNITIES AND CHALLENGES OF MACHINE LEARNING AND DEEP LEARNING TECHNIQUES IN CARDIOVASCULAR DISEASE PREDICTION: A SYSTEMATIC REVIEW J. Biol. Syst. (IF 1.6) Pub Date : 2023-06-05 D. YASO OMKARI, SNEHAL B. SHINDE
Healthcare is indeed an inevitable part of life for everyone. In recent days, most of the deaths have been happening because of noncommunicable diseases. Despite the significant advancements in medical diagnosis, cardiovascular diseases are still the most prominent cause of mortality worldwide. With recent innovations in Machine Learning (ML) and Deep Learning (DL) techniques, there has been an enormous
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ON MODIFIED VARIANTS OF CLASSICAL TROJAN Y CHROMOSOME MODEL WITH GLOBAL SOLUTIONS J. Biol. Syst. (IF 1.6) Pub Date : 2023-06-05 ERIC M. TAKYI, MATTHEW A. BEAUREGARD, RANA D. PARSHAD
The Trojan Y Chromosome (TYC) strategy is a biological control method for controlling invasive populations with an XX–XY sex determinism, wherein a modified organism is introduced into an invasive population to skew the sex ratio over time, causing local extinction. However, the classical three compartment TYC model possesses blow-up solutions, for large initial conditions [Takyi EM, Beauregard MA
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A CONTINUOUS SPATIAL AND TEMPORAL MATHEMATICAL MODEL FOR ASSESSING THE DISTRIBUTION OF DENGUE IN BRAZIL WITH CONTROL J. Biol. Syst. (IF 1.6) Pub Date : 2023-05-26 FERNANDO LUIZ PIO DOS SANTOS, MOSTAFA BENDAHMANE, ELMAHDI ERRAJI, FAHD KARAMI
In this paper, we developed an optimal control of a reaction–diffusion mathematical model, describing the spatial spread of dengue infection. Compartments for human and vector populations are considered in the model, including a compartment for the aquatic phase of mosquitoes. This enabled us to discuss the vertical transmission effects on the spread of the disease in a two-dimensional domain, using
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STABILITY AND BIFURCATION IN A PREDATOR–PREY MODEL WITH PREY REFUGE J. Biol. Syst. (IF 1.6) Pub Date : 2023-05-26 WENCHANG CHEN, HENGGUO YU, CHUANJUN DAI, QING GUO, HE LIU, MIN ZHAO
In this paper, a predator–prey model with prey refuge was developed to investigate how prey refuge affect the dynamics of predator–prey interaction. We studied the existence and stability of equilibria, and then derived the sufficient conditions for the bifurcation such as saddle-node, transcritical, Hopf and Bogdanov–Takens bifurcation. In addition, a series of numerical simulations were carried out
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A CONTINUOUS SPATIAL AND TEMPORAL MATHEMATICAL MODEL FOR ASSESSING THE DISTRIBUTION OF DENGUE IN BRAZIL WITH CONTROL J. Biol. Syst. (IF 1.6) Pub Date : 2023-05-26 FERNANDO LUIZ PIO DOS SANTOS, MOSTAFA BENDAHMANE, ELMAHDI ERRAJI, FAHD KARAMI
In this paper, we developed an optimal control of a reaction–diffusion mathematical model, describing the spatial spread of dengue infection. Compartments for human and vector populations are considered in the model, including a compartment for the aquatic phase of mosquitoes. This enabled us to discuss the vertical transmission effects on the spread of the disease in a two-dimensional domain, using
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STABILITY AND BIFURCATION IN A PREDATOR–PREY MODEL WITH PREY REFUGE J. Biol. Syst. (IF 1.6) Pub Date : 2023-05-26 WENCHANG CHEN, HENGGUO YU, CHUANJUN DAI, QING GUO, HE LIU, MIN ZHAO
In this paper, a predator–prey model with prey refuge was developed to investigate how prey refuge affect the dynamics of predator–prey interaction. We studied the existence and stability of equilibria, and then derived the sufficient conditions for the bifurcation such as saddle-node, transcritical, Hopf and Bogdanov–Takens bifurcation. In addition, a series of numerical simulations were carried out
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CROSSING THE DESERT: A MODEL FOR ALIEN SPECIES INVASION CONTAINMENT OR TO LESSEN HABITAT DISRUPTION EFFECTS J. Biol. Syst. (IF 1.6) Pub Date : 2023-05-06 ELENA BELLAVERE, EZIO VENTURINO
In this paper we present a model for a possible containment way of alien species invasions. It relies on the application of one or more stripes on the ground for which the survival conditions are harsher. After reviewing a number of possible threats for biodiversity that are the main motivation of this study, as well as a few instances of landscape disruption, we present a reaction–diffusion model
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IMPROVING CONTROL STRATEGIES OF INFECTIONS BY RESISTANT PATHOGENS IN A HOSPITAL NETWORK J. Biol. Syst. (IF 1.6) Pub Date : 2023-05-06 THOMAS NOGUEIRA VILCHES, GABRIEL BERG DE ALMEIDA, CARLOS MAGNO CASTELO BRANCO FORTALEZA, CLÁUDIA PIO FERREIRA
The efficacy of infection prevention and control on several hospital networks is assessed. We tested two kinds of strategy, a network-topology-based allocation and a R0-based allocation, where R0 is the basic reproduction number of the infection. For this, a multi-patch deterministic model simulates the spread of carbapenemase-producing Enterobacteriaceae in several theoretical hospital networks parametrized
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CROSSING THE DESERT: A MODEL FOR ALIEN SPECIES INVASION CONTAINMENT OR TO LESSEN HABITAT DISRUPTION EFFECTS J. Biol. Syst. (IF 1.6) Pub Date : 2023-05-06 ELENA BELLAVERE, EZIO VENTURINO
In this paper we present a model for a possible containment way of alien species invasions. It relies on the application of one or more stripes on the ground for which the survival conditions are harsher. After reviewing a number of possible threats for biodiversity that are the main motivation of this study, as well as a few instances of landscape disruption, we present a reaction–diffusion model
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ALLEE EFFECT IN A RICKER TYPE DISCRETE-TIME PREDATOR–PREY MODEL WITH HOLLING TYPE-II FUNCTIONAL RESPONSE J. Biol. Syst. (IF 1.6) Pub Date : 2023-04-27 H. EL-METWALLY, A. Q. KHAN, M. Y. HAMADA
In recent years, the stability of the predator–prey model subject to the Allee effect has become an interesting issue. This study investigates the effect of Allee effect on the stability of a discrete-time predator–prey model with Holling type-II functional response. Using equilibrium analysis, stability analysis and bifurcation theory, the mathematical characteristics of the proposed model are examined
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DYNAMICAL BEHAVIOR OF A STOCHASTIC FOOD CHAIN CHEMOSTAT MODEL WITH VARIABLE YIELDS J. Biol. Syst. (IF 1.6) Pub Date : 2023-04-27 XIAOJUAN LIU, SHULIN SUN
In this paper, we consider a stochastic food chain chemostat model with variable yields. First, we prove the stochastic model has a unique global positive solution. Second, by employing suitable Lyapunov functions, Itô′s formula and some other important inequalities, the existence of a unique ergodic stationary distribution of a stochastic food chain chemostat model is researched, which can help us
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METHODS FOR STATISTICAL EVALUATION OF CONNECTIVITY ESTIMATES IN EPILEPTIC BRAIN J. Biol. Syst. (IF 1.6) Pub Date : 2023-04-27 ANASTASIA A. GRISHCHENKO, CLEMENTINA M. VAN RIJN, ILYA V. SYSOEV
Connectivity analysis using modern approaches like Granger causality, partial directed coherence and transfer entropy always demands additional statistical evaluation of the obtained measures for significance. Although for very simple linear autoregressive processes and quasilinear oscillatory activities theoretical estimates are available, the real biological signals are too complex for application
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STOCHASTIC PERMANENCE AND EXTINCTION OF AN EPIDEMIC MODEL WITH SATURATED TREATMENT J. Biol. Syst. (IF 1.6) Pub Date : 2023-04-25 PRASENJIT MAHATO, SUBHASHIS DAS, SANAT KUMAR MAHATO
We propose and study the transmission dynamics of susceptible-exposed-infected-recovered (XYZW) epidemic model with saturated treatment function. We consider saturated treatment function in the epidemic system to understand the effect of delayed treatment on the disease transmission. The indiscriminately perturbation which is considered as a type of white noise is proportional to the distance of state
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DYNAMICAL ANALYSIS OF TB MODEL WITH NONLINEAR INCIDENCE RATE AND OPTIMAL CONTROL J. Biol. Syst. (IF 1.6) Pub Date : 2023-04-25 SHUPING LI, HUAFANG LIU
We propose and analyze a TB transmission model with nonlinear incidence rate, immunization and medical treatment. First, the existences and stabilities of the equilibrium are studied. The results indicate the basic reproduction number ℜ0 is the threshold of disease extinction and persistence. The disease-free equilibrium is globally asymptotically stable when ℜ0<1, and the disease will gradually disappear
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OPTIMAL TREATMENT STRATEGIES USING DENDRITIC CELL VACCINATION FOR A TUMOR MODEL WITH PARAMETER IDENTIFIABILITY J. Biol. Syst. (IF 1.6) Pub Date : 2023-04-21 SUBHAS KHAJANCHI, JAYANTA MONDAL, PANKAJ KUMAR TIWARI
Immunotherapy has become a rapidly developing approach in the treatment of cancer. Cancer immunotherapy aims at promoting the immune system response to react against the tumor. In view of this, we develop a mathematical model for immune–tumor interplays with immunotherapeutic drug, and strategies for optimally administering treatment. The tumor–immune dynamics are given by a system of five coupled
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CHAOTIC DYNAMICS OF A STAGE-STRUCTURED PREY–PREDATOR SYSTEM WITH HUNTING COOPERATION AND FEAR IN PRESENCE OF TWO DISCRETE DELAYS J. Biol. Syst. (IF 1.6) Pub Date : 2023-04-17 SOUMITRA PAL, ASHVINI GUPTA, ARVIND KUMAR MISRA, BALRAM DUBEY
Depending on behavioral differences, reproductive capability and dependency, the life span of a species is divided mainly into two classes, namely immature and mature. In this paper, we have studied the dynamics of a predator–prey system considering stage structure in prey and the effect of predator-induced fear with two discrete time delays: maturation delay and fear response delay. We consider that
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TWO-FOLD IMPACTS OF FEAR IN A SEASONALLY FORCED PREDATOR–PREY SYSTEM WITH COSNER FUNCTIONAL RESPONSE J. Biol. Syst. (IF 1.6) Pub Date : 2023-03-30 DIPESH BARMAN, SUBARNA ROY, PANKAJ KUMAR TIWARI, SHARIFUL ALAM
In this paper, we investigate the dynamics of a predator–prey system of an ecological community in which the fear instigated by the predators has an adverse effect on the reproduction rate of prey species, and also on the competition among themselves due to the limited environmental resources. To capture and handle the realistic scenario in a more meaningful way, we have mathematically built up the
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SENSITIVITY ANALYSIS AND IMPACT OF AN IMPERFECT VACCINE OF TWO STRAINS OF HEPATITIS B VIRUS INFECTION J. Biol. Syst. (IF 1.6) Pub Date : 2023-03-02 J. NAYEEM, C. N. PODDER, M. A. SALEK
A mathematical model considering two strains of hepatitis B virus (HBV) chronic carriers, to assess the impact of dose-structured imperfect vaccine, in a population, is designed and analyzed. The model is shown to have a locally and globally asymptotically stable disease-free equilibrium (DFE) whenever its associated reproduction number is numerically less than unity. Numerical analysis of the model
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ON MATHEMATICAL MODELING OF THE TRANSMISSION OF GRAPEVINE LEAFROLL-ASSOCIATED VIRUS 3 BY THE VINE MEALYBUG, PLANOCOCCUS FICUS J. Biol. Syst. (IF 1.6) Pub Date : 2023-03-01 MICHAEL CHAPWANYA, ERIN KENYON
Grapevine leafroll disease (GLD) is the most common and economically destructive grapevine viral disease in South African vineyards and throughout the world. There are many GLD-associated virus variants with Grapevine leafroll-associated virus 3 (GLRaV-3) being the main causative agent of GLD. The vine mealybug, Planococcus ficus, is the most widespread and problematic vector of GLRaV-3. Roguing, pesticides
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TIME OPTIMAL CONTROL STUDIES AND SENSITIVITY ANALYSIS OF ADDITIONAL FOOD PROVIDED PREY–PREDATOR SYSTEMS INVOLVING HOLLING TYPE III FUNCTIONAL RESPONSE BASED ON QUALITY OF ADDITIONAL FOOD J. Biol. Syst. (IF 1.6) Pub Date : 2023-03-01 V. S. ANANTH, D. K. K. VAMSI
Research on additional food provided prey–predator systems has gained prominence over the years due to its relevance in the context of biological conservation and pest management. Studies in this area suggest that the system can be driven to any desired state asymptotically with appropriate quality and quantity of additional food. In this paper, we study the controllability aspects to drive the system
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BISTABILITY AND TRISTABILITY IN A PREDATOR–PREY MODEL WITH STRONG ALLEE EFFECT IN PREY J. Biol. Syst. (IF 1.6) Pub Date : 2023-02-09 RUMA KUMBHAKAR, SAHEB PAL, NIKHIL PAL, PANKAJ KUMAR TIWARI
Understanding the Allee effect on endangered species is crucial for ecological conservation and management as it highly affects the extinction of a population. Due to several ecological mechanisms accounting for the Allee effect, it is necessary to study the dynamics of a predator–prey model incorporating this phenomenon. In 1999, Cosner et al. [Effects of spatial grouping on the functional response
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ON SOME METHODOLOGICAL ISSUES IN MATHEMATICAL MODELING OF INTERACTING POPULATIONS J. Biol. Syst. (IF 1.6) Pub Date : 2023-01-31 EZIO VENTURINO, YURI CARIDI, VITÓRIA DOS ANJOS, GIULIA D’ANCONA
In this paper, we focus on some important aspects of model building. The discussion specifically concerns the case of predator–prey interactions. We introduce here two models whose slight difference lies just in the way predators survive. In the former, they are taken to feed only on the modeled prey, i.e., to be specialists; in the second one, they are generalists, i.e., they can survive on other
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GLOBAL DYNAMICS AND OPTIMAL CONTROL FOR A VECTOR-BORNE EPIDEMIC MODEL WITH MULTI-CLASS-AGE STRUCTURE AND HORIZONTAL TRANSMISSION J. Biol. Syst. (IF 1.6) Pub Date : 2023-01-31 SHUANGSHUANG LIANG, SHENGFU WANG, LIN HU, LIN-FEI NIE
An age-structured vector-borne disease model with horizontal transmission is proposed and studied in this paper, where the incubation ages of both host and vector and the immunity age of host are also introduced to consider the effects of multi-class-age structure. The reproductive number ℛ0 is derived as a threshold value to determine the existence and stability of the disease-free and endemic steady
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HOPF BIFURCATION OF AN SEIRS MODEL WITH AGE STRUCTURE AND TIME DELAY J. Biol. Syst. (IF 1.6) Pub Date : 2023-01-26 HUI CAO, MENGMENG HAN, JUNYUAN YANG, LILI LIU, HAIYAN LI
Age structure and delay play a significant role in determining the dynamics of the diseases. In this paper, an SEIRS epidemic model with age structure and time delay is investigated, where the loss of the acquired immunity and delay are incorporated. Through some rigorous analyses, an explicit formula for the basic reproduction number of the model is calculated, and some results about stability and
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MATHEMATICAL ANALYSIS OF TRANSMISSION DYNAMICS OF HIV/ AIDS IN RISK STRUCTURED POPULATION J. Biol. Syst. (IF 1.6) Pub Date : 2023-01-19 ASHRAFI M. NIGER, CHANDRA N. PODDER
A model for assessing the impact of key population at risk in spreading HIV/ AIDS is designed. The model is shown to have a globally asymptotically stable (GAS) disease-free equilibrium whenever the associated reproduction number is less than unity. It has a unique GAS endemic equilibrium whenever reproduction number exceeds unity, if there is no back and forth movement in susceptible classes. It is
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MODELING AND ANALYZING QUARANTINE STRATEGIES OF EPIDEMIC ON TWO-LAYER NETWORKS: GAME THEORY APPROACH J. Biol. Syst. (IF 1.6) Pub Date : 2023-01-06 RONGPING ZHANG, BOLI XIE, YUN KANG, MAOXING LIU
The quarantine strategy plays a crucial role in the prevention and control of infectious disease. In this paper, a two-layer network model coupling the transmission of infectious diseases and the dynamics of human behavior based on game theory is proposed. The basic reproduction number of the infectious disease in our proposed model is obtained by the next-generation matrix method and the stability
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MODELING THE EFFECTS OF INSECTICIDES ON CROP PRODUCTION IN THE PRESENCE OF INSECT POPULATION J. Biol. Syst. (IF 1.6) Pub Date : 2022-12-31 ARVIND KUMAR MISRA, AKASH YADAV
In this research work, a nonlinear mathematical model is proposed and analyzed to study the adverse effects of insects on agricultural productivity by controlling the insect population using insecticides. In the model formulation, it is assumed that agricultural crops grow logistically and the growth rate of insects wholly depends on agricultural crops with Holling type-II functional response. It is
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COMPUTATIONAL SIMULATION OF THE INTERACTION AMONG AUTOREGULATION MECHANISMS REGULATING CEREBRAL BLOOD FLOW RATE IN SYSTOLIC HEART FAILURE J. Biol. Syst. (IF 1.6) Pub Date : 2022-12-31 SURHAN BOZKURT, UMUT ENGIN AYTEN
In this study, a lumped parameter model which includes systemic circulation, cerebral blood vessels, systemic arteriolar resistance control, heart rate control, cerebral autoregulation mechanisms and cerebral CO2 reactivity was developed to simulate healthy and heart failure conditions. In the healthy cardiovascular system model, the results were obtained with all control mechanisms connected to the
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IN-SILICO PERFORMANCE INVESTIGATION OF NANOPARTICLE-ASSISTED PHOTO THERMAL ABLATION J. Biol. Syst. (IF 1.6) Pub Date : 2022-12-31 TORIKUL ISLAM PALASH, MD REJVI KAYSIR, MD JAHIRUL ISLAM, SABIHA BINTE AZIZ, TASKIA NADRIBA MIMMA, NASRIN AKTHER
In recent days, the number of cancer cases is escalating promptly around the world. In general, conventional ablation methods, encompassing comprehensive drawbacks, are employed to cure cancer. At present, photo thermal therapy (PTT) is showing great promise to the treatment of cancer. However, the effective implementation of this technology is utmost challenging as several parameters affect the tumor
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EXTINCTION THRESHOLD IN A STOCHASTIC EPIDEMIC MODEL FOR ROTAVIRUS DYNAMICS WITH CONTAMINATED ENVIRONMENT J. Biol. Syst. (IF 1.6) Pub Date : 2022-12-31 MILLIWARD MALIYONI, KONDWANI MAGAMBA, SOLOMON KADALEKA
Mathematical models for the transmission dynamics of infectious diseases have aided our understanding of the important factors that drive epidemic patterns. In this paper, we formulate and analyze a stochastic epidemic model, a continuous-time Markov chain, in order to understand rotavirus dynamics with a contaminated environment. The assumptions of the deterministic model are utilized in the formulation
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BISTABILITY, GENERALIZED AND ZERO-HOPF BIFURCATIONS IN A PEST CONTROL MODEL WITH FARMING AWARENESS J. Biol. Syst. (IF 1.6) Pub Date : 2022-12-31 FAHAD AL BASIR, SUDIP SAMANTA, PANKAJ KUMAR TIWARI
Introduction of biopesticides and predators in the crop fields has a crucial impact on the pest management as the biopesticides induce infection among the pest population and the infected pests are easy to be captured by the predators. In this paper, we investigate a mathematical model for a pest management system with farming awareness-based inclusion of predators and biopesticides. The level of awareness
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DYNAMICS OF ANTI-PREDATOR BEHAVIOR AND EFFECT OF FEAR ON PREY–PREDATOR MODEL J. Biol. Syst. (IF 1.6) Pub Date : 2022-12-09 K. DURGA PRASAD, SOURAV KUMAR SASMAL
Predator–prey interactions are the ubiquitous and natural phenomenon in an ecological system. Predators reduce the prey population’s density by direct killing, which is an essential part of any ecological system. Based on the experimental works, for overcoming predation pressure, prey uses a variety of mechanisms. With Holling type-II functional response, we examined a prey–predator system incorporating
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DYNAMICS OF A FISHERY MODEL WITH CONTINUOUS THRESHOLD HARVESTING POLICY AND ITS LEVERAGE FOR CONSERVATION AND MANAGEMENT J. Biol. Syst. (IF 1.6) Pub Date : 2022-11-22 JOYDEB BHATTACHARYYA, ANAL CHATTERJEE
There is a global decline in marine fish abundance due to unsustainable harvesting. An effective harvesting policy can protect the overfished population from possible extinction. In this study, we used a mathematical model characterized by density-dependent refuge protection for herbivorous fish, exhibiting an anti-predator response in presence of a generalist invasive fish. The anti-predator behavior
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AN OPTIMAL CONTROL MODEL FOR THE IMPACT OF PHOSLOCK ON THE MITIGATION OF ALGAL BIOMASS IN LAKES J. Biol. Syst. (IF 1.6) Pub Date : 2022-11-10 PANKAJ KUMAR TIWARI, SUBARNA ROY, GRANT DOUGLAS, ARVIND KUMAR MISRA
In this study, we investigate the effects of excessive inputs of bioavailable phosphorus into a lake from agricultural fields and households on algal bloom formation, and its potential management by using the lanthanum-modified clay Phoslock as a bioavailable phosphorus adsorbent. We also investigate the impact of time delay involved in the process of applying Phoslock after measuring the density of