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OPTIMAL CONTROL ANALYSIS OF A HUMAN–BOVINE SCHISTOSOMIASIS MODEL J. Biol. Syst. (IF 0.733) Pub Date : 2021-01-20 S. KADALEKA; S. ABELMAN; P. M. MWAMTOBE; J. M. TCHUENCHE
We formulate and analyze a deterministic mathematical model for the transmission dynamics of schistosomiasis with treatment of both humans and bovines and mollu-sciciding of the contaminated environment. The model effective reproduction number is derived and analytical results show that the disease-free and endemic equilibria are both locally and globally asymptotically stable. Pontryagin’s Maximum
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BIFURCATION ANALYSIS OF A TWO-DIMENSIONAL PREDATOR–PREY MODEL WITH HOLLING TYPE IV FUNCTIONAL RESPONSE AND NONLINEAR PREDATOR HARVESTING J. Biol. Syst. (IF 0.733) Pub Date : 2020-11-11 UTTAM GHOSH; PRAHLAD MAJUMDAR; JAYANTA KUMAR GHOSH
The aim of this paper is to investigate the dynamical behavior of a two-species predator–prey model with Holling type IV functional response and nonlinear predator harvesting. The positivity and boundedness of the solutions of the model have been established. The considered system contains three kinds of equilibrium points. Those are the trivial equilibrium point, axial equilibrium point and the interior
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CHAOS IN A NONAUTONOMOUS MODEL FOR THE INTERACTIONS OF PREY AND PREDATOR WITH EFFECT OF WATER LEVEL FLUCTUATION J. Biol. Syst. (IF 0.733) Pub Date : 2020-11-05 ABHIJIT SARKAR; PANKAJ KUMAR TIWARI; FRANCESCA BONA; SAMARES PAL
Water level regulates the dynamics of different populations residing in water bodies. The increase/decrease in the level of water leads to an increase/decrease in the volume of water, which influences the interactions of fishes and catching capability. We examine how seasonal variations in water level and harvesting affect the outcome of prey–predator interactions in an artificial lake. A seasonal
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TIME-VARYING EPIDEMIC TRANSMISSION IN HETEROGENEOUS NETWORKS AND APPLICATIONS TO MEASLES J. Biol. Syst. (IF 0.733) Pub Date : 2020-11-16 SARA SOTTILE; XINZHI LIU
In this paper, we analyze some epidemic models by considering a time-varying transmission rate in complex heterogeneous networks. The transmission rate is assumed to change in time, due to a switching signal, and since the spreading of the disease also depends on connections between individuals, the population is modeled as a heterogeneous network. We establish some stability results related to the
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ANALYSIS OF AN AGE-STRUCTURED HIV-1 INFECTION MODEL WITH LOGISTIC TARGET CELL GROWTH J. Biol. Syst. (IF 0.733) Pub Date : 2020-11-11 HUIJUAN LIU; FEI XU; JIA-FANG ZHANG
In this work, we construct an age-structured HIV-1 infection model to investigate the interplay between T cells and viruses. In our model, we assume that the variations in the death rate of productively infected T cells and the production rate of virus in infected cells are all age-dependent, and the target cells follow logistic growth. We perform mathematical analysis and prove the persistence of
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OPTIMAL RESOURCE ALLOCATION FOR A DIFFUSIVE POPULATION MODEL J. Biol. Syst. (IF 0.733) Pub Date : 2020-12-28 JASON BINTZ; SUZANNE LENHART
The spatial distribution of resources for diffusive populations can have a strong effect on population abundance. We investigate the optimal allocation of resources for a diffusive population. Population dynamics are represented by a parabolic partial differential equation with density-dependent growth and resources are represented through their space- and time-varying influence on the growth function
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MODELING CHOLERA TRANSMISSION UNDER DISEASE CONTROL MEASURES J. Biol. Syst. (IF 0.733) Pub Date : 2020-11-11 MARGARET BROWN; MIKO JIANG; CHAYU YANG; JIN WANG
We present a new mathematical model to investigate the transmission dynamics of cholera under disease control measures that include education programs and water sanitation. The model incorporates the impact of education programs into the disease transmission rates and that of water sanitation into the environmental pathogen dynamics. We conduct a detailed analysis to the autonomous system of the model
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INVESTIGATING THE ROLE OF WITHIN- AND BETWEEN-PATCH MOVEMENT IN A DYNAMIC MODEL OF DISEASE SPREAD J. Biol. Syst. (IF 0.733) Pub Date : 2020-10-12 KLOT PATANARAPEELERT
The impact of human mobility on the spreading of disease in a metapopulation is emphasized on interconnecting between patches, whereas the current volume of movement within the local population is usually neglected. Here, the role of internal commuters is taken into account by two means, a local transmission rate and the volume of internal commuters. Dynamic model of human mobility in the metapopulation
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ANALYSIS OF A REACTION–DIFFUSION EPIDEMIC MODEL WITH ASYMPTOMATIC TRANSMISSION J. Biol. Syst. (IF 0.733) Pub Date : 2020-09-03 W. E. FITZGIBBON; J. J. MORGAN; G. F. WEBB; Y. WU
We develop a dynamic model of an evolving epidemic in a spatially inhomogeneous environment. We analyze the model, as a system of reaction–diffusion partial differential equations, to predict the outbreak and spatio-temporal spread of the disease. The model features both an asymptomatic infectious stage and symptomatic infectious stage, with both the asymptomatic and the symptomatic infected populations
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COVID-19 ORDER PARAMETERS AND ORDER PARAMETER TIME CONSTANTS OF ITALY AND CHINA: A MODELING APPROACH BASED ON SYNERGETICS J. Biol. Syst. (IF 0.733) Pub Date : 2020-08-12 T. D. FRANK
From a dynamical systems perspective, COVID-19 infectious disease emerges via an instability in human populations. Accordingly, the human population free of COVID-19 infected individuals is an unstable state and the dynamics away from that unstable state is a bifurcation. Recent research has determined COVID-19 relevant bifurcation parameters for various countries in terms of basic reproduction ratios
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A MODEL OF THE OPTIMAL IMMUNOTHERAPY OF PSORIASIS BY INTRODUCING IL-10 AND IL-22 INHIBITORS J. Biol. Syst. (IF 0.733) Pub Date : 2020-09-03 PRITI KUMAR ROY; AMIT KUMAR ROY; EVGENII N. KHAILOV; FAHAD AL BASIR; ELLINA V. GRIGORIEVA
Psoriasis is a chronic skin disease in which the process of hyper-proliferation (excessive division) of skin cells starts. Externally, psoriasis appears as red papules, on the surface of which there are scales of white–gray color. There is substantial evidence that T-helper cells take vital accountability for creating the hyper-proliferation of keratinocytes (skin cells), which causes itching of skin
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HOW DO PARTIALLY HIDING BEHAVIOR AND COMPLETELY HIDING BEHAVIOR IMPACT INTERACTING POPULATIONS? J. Biol. Syst. (IF 0.733) Pub Date : 2020-07-30 ZHIHUI MA; SHUFAN WANG; HAOPENG TANG
As the two main behaviors of prey populations in ecological systems, the partially hiding behavior (PHB) and the completely hiding behavior (CHB) play a significant role in determining the dynamics of predator–prey models. This work examines to the dynamical consequences of predator–prey systems with the PHB and the CHB. Previous research has independently studied the two behaviors, and the general
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DYNAMICAL STUDY OF DISCRETE-TIME PREY–PREDATOR MODEL WITH CONSTANT PREY REFUGE UNDER IMPRECISE BIOLOGICAL PARAMETERS J. Biol. Syst. (IF 0.733) Pub Date : 2020-08-20 P. K. SANTRA; G. S. MAHAPATRA
The objective of this paper is to study the dynamical properties of a discrete-time prey–predator model under imprecise biological parameters. We consider refuge for prey species as a constant number. The equilibria of the model are obtained, and the dynamic behaviors of the proposed system are examined for the interval biological parameters. Simulations of the model are performed for different parameters
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A MATHEMATICAL MODEL FOR TREATMENT OF PAPILLARY THYROID CANCER USING THE ALLEE EFFECT J. Biol. Syst. (IF 0.733) Pub Date : 2020-09-03 JAIRO GOMES DA SILVA; RAFAEL MARTINS DE MORAIS; IZABEL CRISTINA RODRIGUES DA SILVA; MOSTAFA ADIMY; PAULO FERNANDO DE ARRUDA MANCERA
The incidence of thyroid cancer is rising all over the world, and the papillary subtype (PTC) is the primary factor for this increase. The presence of thyroid tumors is commonly associated with increased levels of cytokines, such as interleukin 6 (IL-6). Considering PTC patients treated with thyroidectomy and radioactive iodine 131I (RAI), we propose an ordinary differential system using four variables:
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MODELING ZIKA TRANSMISSION DYNAMICS: PREVENTION AND CONTROL J. Biol. Syst. (IF 0.733) Pub Date : 2020-08-28 PARIMITA ROY; RANJIT KUMAR UPADHYAY; JASMINE CAUR
The Zika virus (ZIKV) epidemic is depicted to have high spatial diversity and slow growth, attributable to the dynamics of the mosquito vector and mobility of the human populations. In an effort to understand the transmission dynamics of Zika virus, we formulate a new compartmental epidemic model with a system of seven differential equations and 11 parameters incorporating the decaying transmission
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DETERMINISTIC PREDATOR–PREY MODELS WITH DISEASE IN THE PREY POPULATION J. Biol. Syst. (IF 0.733) Pub Date : 2020-08-20 SOPHIA R.-J. JANG; HSIU-CHUAN WEI
A class of deterministic predator–prey systems, where the prey population is subject to an infectious disease, is studied. The disease can be transmitted both horizontally and vertically within the host population but cannot be spread between the two trophic levels. Using the mathematical tools of uniform persistence, we derive sufficient conditions for which the interacting populations can coexist
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SPATIOTEMPORAL DYNAMICS OF A DIFFUSIVE LESLIE-TYPE PREDATOR–PREY MODEL WITH BEDDINGTON–DEANGELIS FUNCTIONAL RESPONSE J. Biol. Syst. (IF 0.733) Pub Date : 2020-08-28 YAN LI; LINYAN ZHANG; DAGEN LI; HONG-BO SHI
In this paper, we study the spatiotemporal dynamics of a diffusive Leslie-type predator–prey system with Beddington–DeAngelis functional response under homogeneous Neumann boundary conditions. Preliminary analysis on the local asymptotic stability and Hopf bifurcation of the spatially homogeneous model based on ordinary differential equations is presented. For the diffusive model, firstly, it is shown
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OPTIMAL CONTROL ANALYSIS OF THE EFFECT OF TREATMENT, ISOLATION AND VACCINATION ON HEPATITIS B VIRUS J. Biol. Syst. (IF 0.733) Pub Date : 2020-06-18 MUHAMMAD ALTAF KHAN; SYED AZHAR ALI SHAH; SAIF ULLAH; KAZEEM OARE OKOSUN; MUHAMMAD FAROOQ
Hepatitis B infection is a serious health issue and a major cause of deaths worldwide. This infection can be overcome by adopting proper treatment and control strategies. In this paper, we develop and use a mathematical model to explore the effect of treatment on the dynamics of hepatitis B infection. First, we formulate and use a model without control variables to calculate the basic reproduction
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A MATHEMATICAL STUDY OF THE IMPLICIT ROLE OF INNATE AND ADAPTIVE IMMUNE RESPONSES ON WITHIN-HUMAN PLASMODIUM FALCIPARUM PARASITE LEVELS J. Biol. Syst. (IF 0.733) Pub Date : 2020-06-24 GIDEON A. NGWA; WOLDEGEBRIEL A. WOLDEGERIMA; MIRANDA I. TEBOH-EWUNGKEM
A within-human-host malaria parasite model, integrating key variables that influence parasite evolution-progression-advancement, under innate and adaptive immune responses, is analyzed. The implicit role of immunity on the steady state parasite loads and parasitemia reproduction number (ℛ0), a threshold parameter measuring the parasite’s annexing ability of healthy red blood cells (HRBCs), eventually
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EBOLA OUTBREAKS AND INTERNATIONAL TRAVEL RESTRICTIONS: CASE STUDIES OF CENTRAL AND WEST AFRICA REGIONS J. Biol. Syst. (IF 0.733) Pub Date : 2020-06-24 NOURRIDINE SIEWE; SUZANNE LENHART; ABDUL-AZIZ YAKUBU
Ebola outbreaks in Africa have occurred mostly in the Central and West Africa regions that are politically identified as the Economic Community of Central African States (ECCAS) and Economic Community of Western African States (ECOWAS), respectively. In the ECOWAS region, people and goods are allowed to travel freely across national borders of all the 15 member countries, but in the ECCAS region such
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ON THE DYNAMICS MALARIA-DYSENTERY CO-INFECTION MODEL J. Biol. Syst. (IF 0.733) Pub Date : 2020-07-15 KAZEEM OARE OKOSUN
In this paper, a mathematical model for malaria-dysentery co-infection was formulated in order to study and examine its dynamic relationship in the presence of malaria and dysentery preventive and treatment measures. First, analysis of the single infection steady states was done and then the basic reproduction number was obtained. Furthermore, investigation into the existence and stability of equilibria
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THE IMPACT OF VACCINATION ON MALARIA PREVALENCE: A VACCINE-AGE-STRUCTURED MODELING APPROACH J. Biol. Syst. (IF 0.733) Pub Date : 2020-08-19 KATIA VOGT-GEISSE; CALISTUS N. NGONGHALA; ZHILAN FENG
A deterministic model for the effects on disease prevalence of the most advanced pre-erythrocytic vaccine against malaria is proposed and studied. The model includes two vaccinated classes that correspond to initially vaccinated and booster dose vaccinated individuals. These two classes are structured by time-since-initial-vaccination (vaccine-age). This structure is a novelty for vector–host models;
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IMPACT OF ADAPTIVE MOSQUITO BEHAVIOR AND INSECTICIDE-TREATED NETS ON MALARIA PREVALENCE J. Biol. Syst. (IF 0.733) Pub Date : 2020-08-19 CALISTUS N. NGONGHALA; JOSEPHINE WAIRIMU; JESSE ADAMSKI; HARDIK DESAI
Malaria prevalence in sub-Saharan Africa remains high. Kenya for example, records about 3.5 million new cases and 11 thousand deaths each year.1 Most of these cases and deaths are among children under five. The main control method in malaria endemic regions has been through the use of insecticide-treated nets (ITNs). Although this approach has been fairly successful, the gains are threatened by mosquito-resistance
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AN IMMUNO-EPIDEMIOLOGICAL VECTOR–HOST MODEL WITH WITHIN-VECTOR VIRAL KINETICS J. Biol. Syst. (IF 0.733) Pub Date : 2020-06-15 HAYRIYE GULBUDAK
A current challenge for disease modeling and public health is understanding pathogen dynamics across scales since their ecology and evolution ultimately operate on several coupled scales. This is particularly true for vector-borne diseases, where within-vector, within-host, and between vector–host populations all play crucial roles in diversity and distribution of the pathogen. Despite recent modeling
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MODELING DISPROPORTIONAL EFFECTS OF EDUCATING INFECTED KENYAN YOUTH ON HIV/AIDS J. Biol. Syst. (IF 0.733) Pub Date : 2020-05-04 MARILYN RONOH; FARAIMUNASHE CHIROVE; JOSEPHINE WAIRIMU; WANDERA OGANA
We formulate an age and sex-structured deterministic model to assess the effect of increasing comprehensive knowledge of HIV/AIDS disease in the infected Adolescent Girls and Young Women (AGYW) and, Adolescent Boys and Young Men (ABYM) populations in Kenya. Mathematical analysis of infection through sub-network analysis was carried out to trace various infection routes and the veracity of various transmission
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TRANSMISSION DYNAMICS AND CONTROL STRATEGIES OF COVID-19 IN WUHAN, CHINA J. Biol. Syst. (IF 0.733) Pub Date : 2020-04-30 LIUYONG PANG; SANHONG LIU; XINAN ZHANG; TIANHAI TIAN; ZHONG ZHAO
In December 2019, a novel coronavirus, SARS-COV-2, was identified among patients in Wuhan, China. Two strict control measures, i.e., putting Wuhan on lockdown and taking strict quarantine rule, were carried out to contain the spread of COVID-19. Based on the different control measures, we divided the transmission process of COVID-19 into three stages. An SEIHR model was established to describe the
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MATHEMATICAL MODELING OF THE IMPACT OF PERIODIC RELEASE OF STERILE MALE MOSQUITOES AND SEASONALITY ON THE POPULATION ABUNDANCE OF MALARIA MOSQUITOES J. Biol. Syst. (IF 0.733) Pub Date : 2020-04-18 ENAHORO A. IBOI; ABBA B. GUMEL; JESSE E. TAYLOR
This study presents a new mathematical model for assessing the impact of sterile insect technology (SIT) and seasonal variation in local temperature on the population abundance of malaria mosquitoes in an endemic setting. Simulations of the model, using temperature data from Kipsamoite area of Kenya, show that a peak abundance of the mosquito population is attained in the Kipsamoite area when the mean
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SIGNAL-TO-NOISE RATIO GAIN VIA CORRELATED NOISE IN AN ENSEMBLE OF NOISY NEURONS J. Biol. Syst. (IF 0.733) Pub Date : 2020-04-16 TIANQUAN FENG
JBS formally withdraws this paper due to duplicate versions submitted to two different journals, JBS and JILSA, for publication. For details, please refer to the Retraction Notice.
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THE EFFECTS OF INVASIVE EPIBIONTS ON CRAB–MUSSEL COMMUNITIES: A THEORETICAL APPROACH TO UNDERSTAND MUSSEL POPULATION DECLINE J. Biol. Syst. (IF 0.733) Pub Date : 2020-04-07 JINGJING LYU; LINDA A. AUKER; ANUPAM PRIYADARSHI; RANA D. PARSHAD
Blue mussels (Mytilus edulis) are important keystone species that have been declining in the Gulf of Maine. This could be attributed to a variety of complex factors such as indirect effects due to invasion by epibionts, which remains unexplored mathematically. Based on classical optimal foraging theory (OFT) and anti-fouling defense mechanisms of mussels, we derive an ODE model for crab–mussel interactions
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STABILITY AND BIFURCATION ANALYSIS OF A DISCRETE PREY–PREDATOR MODEL WITH SQUARE-ROOT FUNCTIONAL RESPONSE AND OPTIMAL HARVESTING J. Biol. Syst. (IF 0.733) Pub Date : 2020-03-24 PRABIR CHAKRABORTY; UTTAM GHOSH; SUSMITA SARKAR
In this paper, we have considered a discrete prey–predator model with square-root functional response and optimal harvesting policy. This type of functional response is used to study the dynamics of the prey–predator model where the prey population exhibits herd behavior, i.e., the interaction between prey and predator occurs along the boundary of the population. The considered population model has
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INFLUENCE OF ASYMPTOMATIC PEOPLE ON MALARIA TRANSMISSION: A MATHEMATICAL MODEL FOR A LOW-TRANSMISSION AREA CASE J. Biol. Syst. (IF 0.733) Pub Date : 2020-03-23 IULIA MARTINA BULAI; STÉPHANIE DEPICKÈRE; VITOR HIRATA SANCHES
Malaria remains a primary parasitic disease in the tropical world, generating high morbidity and mortality in human populations. Recently, community surveys showed a high proportion of asymptomatic cases, which are characterized by a low parasitemia and a lack of malaria symptoms. Until now, the asymptomatic population is not treated for malaria and thus remains infective for a long time. In this paper
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CROSS-DIFFUSION-DRIVEN PATTERN FORMATION AND SELECTION IN A MODIFIED LESLIE–GOWER PREDATOR–PREY MODEL WITH FEAR EFFECT J. Biol. Syst. (IF 0.733) Pub Date : 2020-02-19 RENJI HAN; LAKSHMI NARAYAN GUIN; BINXIANG DAI
Spatial patterns through diffusion-driven instability are stationary structures that appear spontaneously upon breaking the symmetry of the spatial domain, which results only from the coupling between the reaction and the diffusion processes. This paper is concerned with a modified Leslie–Gower-type model with cross-diffusion and indirect predation effect. We first prove the global existence, non-negativity
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A PROGNOSTIC IMMUNOTHERAPY MODEL FOR 4T1 BREAST CANCER WITH COMBINED CYCLOPHOSPHAMIDE AND TLR AGONIST J. Biol. Syst. (IF 0.733) Pub Date : 2020-02-18 DANHUA HE; WEINAN XU; XUEFANG LI; JIAN-XIN XU
Based on experimental results of a mouse model provided in the literature, we develop a mathematical model by using system biology approach, aiming to investigate immunotherapy for 4T1 breast cancer. It is worth to mention that only 4 types of cells (tumor cells, CD8+ T cells, regular T cells (Tregs), and tumoricidal myeloid CD11b+Gr1dim cells) are quantitatively measured in experiments, which make
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THE COMPUTATION OF REPRODUCTION NUMBERS FOR THE ENVIRONMENT-HOST-ENVIRONMENT CHOLERA TRANSMISSION DYNAMICS J. Biol. Syst. (IF 0.733) Pub Date : 2020-02-13 ANTONELLA LUPICA; ABBA B. GUMEL; ANNUNZIATA PALUMBO
This study presents a new model for the environment-host-environment transmission dynamics of V. cholerae in a community with an interconnected aquatic pond–river water network. For the case when the human host is the sole target of anti-cholera control and the volume of water in the pond is maximum, the disease-free equilibrium of the model is shown to be globally asymptotically stable whenever a
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GLOBAL PROPERTIES OF HIV DYNAMICS MODELS INCLUDING IMPAIRMENT OF B-CELL FUNCTIONS J. Biol. Syst. (IF 0.733) Pub Date : 2020-01-30 A. M. Elaiw; S. F. ALSHEHAIWEEN; A. D. HOBINY
In this paper, we develop mathematical models that include impairment of B-cell functions in order to study HIV dynamics. Two forms of the incidence rate have been considered, bilinear and general nonlinear. Three types of infected cells have been incorporated into the models, namely latently infected, short-lived productively infected and long-lived productively infected. The models have at most two
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EFFECT OF INDIVIDUAL SELF-PROTECTIVE BEHAVIOR ON EPIDEMIC SPREADING J. Biol. Syst. (IF 0.733) Pub Date : 2019-12-15 SANG-HEE LEE; HYUK KANG; HARK-SOO SONG
Most previous models for epidemic spreading are based on an assumption that all individual characteristics in a population are identical and stochastically distributed. However, in the real world, individuals have different behavioral characteristics for resisting infections, one of which is self-protective behavior. In this study, we suggest an equation describing self-protective behavior and use
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GLOBAL DYNAMICS OF A MATHEMATICAL MODEL OF TUBERCULOSIS WITH AGE-DEPENDENT LATENCY AND ACTIVE INFECTION J. Biol. Syst. (IF 0.733) Pub Date : 2019-12-15 RUI XU; NING BAI; XIAOHONG TIAN
In this paper, mathematical analysis is carried out for a mathematical model of Tuberculosis (TB) with age-dependent latency and active infection. The model divides latent TB infection into two stages: an early stage of high risk of developing active TB and a late stage of lower risk for developing active TB. Infected persons initially progress through the early latent TB stage and then can either
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HPS_PSP: HIGH PERFORMANCE SYSTEM FOR PROTEIN STRUCTURE PREDICTION J. Biol. Syst. (IF 0.733) Pub Date : 2019-12-15 MOHAMED B. ABDELHALIM; MAI S. MABROUK; AHMED Y. SAYED
Prediction of least energy conformation of a protein from its primary structure (chain of amino acids) is an optimization problem associated with a large complex energy landscape. In this study, a simple 2D hydrophobic–hydrophilic model was used to model the protein sequence, which allows the fast and efficient design of genetic algorithm-based protein structure prediction approach. The neighborhood
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EFFECT OF TIME DELAY IN A CANNIBALISTIC STAGE-STRUCTURED PREDATOR–PREY MODEL WITH HARVESTING OF AN ADULT PREDATOR: THE CASE OF LIONFISH J. Biol. Syst. (IF 0.733) Pub Date : 2019-12-15 BANAMALI MAJI; PANKAJ KUMAR TIWARI; SUDIP SAMANTA; SAMARES PAL; FRANCESCA BONA
The progressive and increasing invasion of an opportunistic predator, the lionfish (Pterois volitans) has become a major threat for the delicate coral-reef ecosystem. The herbivore fish populations, in particular of Parrotfish, are taking the consequences of the lionfish invasion and then their control function on macro-algae growth is threatened. In this paper, we developed and analyzed a stage-structured
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IDENTIFYING OPTIMAL VACCINATION STRATEGIES VIA ECONOMIC AND EPIDEMIOLOGICAL MODELING J. Biol. Syst. (IF 0.733) Pub Date : 2019-12-15 HENRY ZHAO; ZHILAN FENG
Vaccination is among the most effective means of preventing and controlling infectious disease outbreaks. Mathematical models can be used to identify the optimal allocation of vaccine among various groups when host populations are heterogeneous. Population heterogeneity may affect individual decision-making and government policy. We show that mixing among sub-populations can profoundly influence the
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CHARACTERIZATION OF INTRINSIC AND EXTRINSIC NOISE EFFECTS IN POSITIVELY REGULATED GENES J. Biol. Syst. (IF 0.733) Pub Date : 2019-10-21 AARÓN VÁZQUEZ-JIMÉNEZ; MOISÉS SANTILLÁN; JESÚS RODRÍGUEZ-GONZÁLEZ
Gene regulation is fundamental for cell survival. This regulation must be both robust to noise and sensitive enough to external stimuli to elicit the proper responses. In this work, we study, through stochastic numerical simulations, how a gene regulatory network with a positive feedback loop responds to environmental changes in the presence of intrinsic and extrinsic noises. Noise effects were characterized
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STEADY STATE AND SENSITIVITY ANALYSIS OF A NOTCH–DELTA SIGNALING SYSTEM OF ONE SINGLE CELL INTERACTING WITH FIXED ENVIRONMENT J. Biol. Syst. (IF 0.733) Pub Date : 2019-10-21 MATT MOORE; YICAN ZHANG; XIAOMING ZHENG
The Notch–Delta signaling pathway is a highly conserved signaling system that partakes in a diverse process of growth, patterns and differentiation. Experiments have shown that Delta from different cells activates this pathway (trans-activation) while Delta from the same cell inhibits this pathway (cis-inhibition). The Notch–Delta interactions could switch a cell to one of the two opposite fates: either
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COMPUTATIONAL MODELING OF SELF-ORGANIZATION OF BACTERIAL POPULATION CONSISTING OF SUBPOPULATIONS OF ACTIVE AND PASSIVE CELLS J. Biol. Syst. (IF 0.733) Pub Date : 2019-10-21 ŽILVINAS LEDAS; REMIGIJUS ŠIMKUS; ROMAS BARONAS
This paper deals with the computational modeling of the bioluminescence pattern formation in suspensions of Escherichiacoli bacteria. The aim was to develop a computational model for simulating the bacterial populations consisting of two subpopulations of active and passive cells. A suitable model based on Keller–Segel and Fisher equations was proposed and the spatiotemporal patterns were simulated
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STUDY OF A PREDATOR–PREY MODEL WITH PEST MANAGEMENT PERSPECTIVE J. Biol. Syst. (IF 0.733) Pub Date : 2019-10-21 DIBYENDU SEKHAR MANDAL; SUDIP SAMANTA; ABDULLAH KHAMES ALZAHRANI; JOYDEV CHATTOPADHYAY
Recently, pest control has become a very interesting research topic because it is closely associated with agricultural and economic loss. Empirical evidence shows that pest insects are responsible for lower crop production and many other adverse effects on the farming sector. There are several biological, physical and chemical control mechanisms. However, the biological control of pest populations
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ANALYSIS OF A STOCHASTIC HBV INFECTION MODEL WITH NONLINEAR INCIDENCE RATE J. Biol. Syst. (IF 0.733) Pub Date : 2019-10-21 HONGWEN HUI; LIN-FEI NIE
Considering that environmental factors, diet, subconscious mind and other uncertainties play an important role in the process of delaying and treating diseases, we propose, in this paper, an amended Hepatitis B virus (HBV) model with stochastic perturbation, and investigate the longtime dynamics of this stochastic model. First, if the basic reproductive number of the corresponding deterministic model
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A CHOLERA METAPOPULATION MODEL INTERLINKING MIGRATION WITH INTERVENTION STRATEGIES — A CASE STUDY OF ZIMBABWE (2008–2009) J. Biol. Syst. (IF 0.733) Pub Date : 2019-06-05 ABHISHEK SENAPATI; TRIDIP SARDAR; JOYDEV CHATTOPADHYAY
Cholera is a water-borne disease and a major threat to human society affecting about 3–5 million people annually. A considerable number of research works have already been done to understand the disease transmission route and preventive measures in spatial or non-spatial scale. However, how the control strategies are to be linked up with the human migration in different locations in a country are not
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A STRATEGY OF OPTIMAL EFFICACY OF T11 TARGET STRUCTURE IN THE TREATMENT OF BRAIN TUMOR J. Biol. Syst. (IF 0.733) Pub Date : 2019-06-05 SUBHAS KHAJANCHI; SANDIP BANERJEE
We report a mathematical model depicting gliomas and immune system interactions by considering the role of immunotherapeutic drug T11 target structure (T11TS). The mathematical model comprises a system of coupled nonlinear ordinary differential equations involving glioma cells, macrophages, activated cytotoxic T-lymphocytes (CTLs), immunosuppressive cytokine transforming growth factor-β (TGF-β), immunostimulatory
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CHAOTIC COEXISTENCE IN A RESOURCE–CONSUMER MODEL J. Biol. Syst. (IF 0.733) Pub Date : 2019-06-05 DENIS G. LADEIRA; MARCELO M. de OLIVEIRA
We study the interspecies competition in a simple resource–consumer model which includes the resource supply as a dynamic variable. In the model, an organism of each species needs to consume a certain minimum rate of resource (food) to survive; a higher rate of consumption is required for reproduction. We analyze the orbit diagrams and Lyapunov exponents in order to characterize the system dynamical
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INFLUENCE OF INVESTING IN TREATING A POLLUTED ENVIRONMENT ON THE HARVEST: A PROBLEM OF OPTIMAL ALLOCATION J. Biol. Syst. (IF 0.733) Pub Date : 2019-06-05 P. D. N. SRINIVASU; SIMON D. ZAWKA
This study is concerned with harvesting a renewable resource that is surviving in a polluted environment. Fall in the revenue from the resource due to presence of pollution in the environment drives the sole owner to allocate a part of the available effort towards treating the environment and the interest is to find the optimal allocation of the available effort towards harvesting the resource and
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PROBABILISTIC MODELING AND ANALYSIS OF DNA FRAGMENTATION J. Biol. Syst. (IF 0.733) Pub Date : 2019-06-05 REZA POURMOHAMMADI; JAMSHID ABOUEI; ALAGAN ANPALAGAN
Deoxyribonucleic Acid (DNA) sequencing has become indispensable to the modern biological and medicine sciences. DNA fragmentation is a preliminary step in a dominant technique called shotgun sequencing that provides a time and cost effective strategy for the DNA sequencing. In this paper, we propose a probabilistic model for the random DNA fragmentation and derive an average number of fragments with
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FROM INDIVIDUAL HEALTH TO COMMUNITY HEALTH: TOWARDS MULTISCALE MODELING OF DIRECTLY TRANSMITTED INFECTIOUS DISEASE SYSTEMS J. Biol. Syst. (IF 0.733) Pub Date : 2019-04-07 WINSTON GARIRA; MARTIN CANAAN MAFUNDA
In this paper, we present a new method for developing a class of nested multiscale models for directly transmitted infectious disease systems that integrates within-host scale and between-host scale using community pathogen load (CPL) as a new public health measure of a community’s level of infectiousness and as an indicator of the effectiveness of health interventions. The approach develops a multiscale
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OPTIMAL PEST REGULATION TACTICS FOR A STOCHASTIC PROCESS MODEL WITH IMPULSIVE CONTROLS USING REGRESSION ANALYSIS— TAKING COTTON APHIDS AS AN EXAMPLE J. Biol. Syst. (IF 0.733) Pub Date : 2019-04-07 YONGZHEN PEI; SHAOKUI LU; CHANGGUO LI; BING LIU; YANNA LIU
Aphids, the sap-sucking insects, often feeding in clusters on new plant growth, have resulted in large amounts of resources and efforts being spent attempting to control their activities. Taking cotton aphids as an example, this paper presents optimal control problems governed by stochastic models with impulsive interferences. Differing from the moment closure equation methods which are computationally
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STABILITY OF A STOCHASTICALLY PERTURBED MODEL OF INTRACELLULAR SINGLE-STRANDED RNA VIRUS REPLICATION J. Biol. Syst. (IF 0.733) Pub Date : 2019-04-07 LEONID SHAIKHET; SANTIAGO F. ELENA; ANDREI KOROBEINIKOV
Compared to the replication of double-stranded RNA and DNA viruses, the replication of single-stranded viruses requires the production of a number of intermediate strands that serve as templates for the synthesis of genomic-sense strands. Two theoretical extreme mechanisms for replication for such single-stranded viruses have been proposed; one extreme being represented by the so-called linear stamping
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DNN-PPI: A LARGE-SCALE PREDICTION OF PROTEIN–PROTEIN INTERACTIONS BASED ON DEEP NEURAL NETWORKS J. Biol. Syst. (IF 0.733) Pub Date : 2019-04-07 YUANMIAO GUI; RUJING WANG; YUANYUAN WEI; XUE WANG
Protein–protein interaction (PPI) is very important for various biological processes and has given rise to a series of prediction-computing methods. In spite of different computing methods in relation to PPI prediction, PPI network projects fail to perform on a large scale. Aiming at ensuring that PPI can be predicted effectively, we used a deep neural network (DNN) for the study of PPI prediction
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A MATHEMATICAL ANALYSIS OF ZIKA VIRUS EPIDEMIC IN RIO DE JANEIRO AS A VECTOR-BORNE AND SEXUALLY TRANSMITTED DISEASE J. Biol. Syst. (IF 0.733) Pub Date : 2019-04-07 GUSTAVO CRUZ-PACHECO; LOURDES ESTEVA; CLAUDIA PIO FERREIRA
In this work we formulate a mathematical model to assess the importance of sexual transmission during the Zika virus outbreak that occurred in Rio de Janeiro, Brazil, in 2015. To this end, we deduce from the model an analytical expression of the basic reproduction number of Zika, R0, in terms of the vectorial and sexual transmissions, and we use the estimations given in Ref. 1 [Villela DAM, Bastos
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GLOBAL DYNAMICS OF A SEASONAL MATHEMATICAL MODEL OF SCHISTOSOMIASIS TRANSMISSION WITH GENERAL INCIDENCE FUNCTION J. Biol. Syst. (IF 0.733) Pub Date : 2019-04-07 BAKARY TRAORÉ; OUSMANE KOUTOU; BOUREIMA SANGARÉ
In this paper, we investigate a nonautonomous and an autonomous model of schistosomiasis transmission with a general incidence function. Firstly, we formulate the nonautonomous model by taking into account the effect of climate change on the transmission. Through rigorous analysis via theories and methods of dynamical systems, we show that the nonautonomous model has a globally asymptotically stable
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NETWORK ANALYSIS OF COMMON DIFFERENTIAL GENES IDENTIFIES KEY GENES AND IMPORTANT MODULES UNDERLYING EXTRACELLULAR ELECTRON TRANSFER PROCESSES J. Biol. Syst. (IF 0.733) Pub Date : 2019-04-07 DEWU DING
Electricigens can transfer electrons that produced in intracellular metabolic processes to cellular surface to restore extracellular insoluble electron acceptors (extracellular electron transfer, EET). To uncover the molecular mechanisms underlying EET processes, we integrated transcriptome changes accompanying such processes with molecular network. Firstly, time-series expression datasets for Shewanella
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SPATIAL ASPECT OF HUNTING COOPERATION IN PREDATORS WITH HOLLING TYPE II FUNCTIONAL RESPONSE J. Biol. Syst. (IF 0.733) Pub Date : 2019-01-09 TEEKAM SINGH; SANDIP BANERJEE
In this paper, we have investigated a spatial predator–prey model with hunting cooperation in predators. Using linear stability analysis, we obtain the condition for diffusive instability and identify the corresponding domain in the space of controlling parameters. Using extensive numerical simulations, we obtain complex patterns, namely, spotted pattern, stripe pattern and mixed pattern in the Turing
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MODELING MONOCYTE-DERIVED DENDRITIC CELLS AS A THERAPEUTIC VACCINE AGAINST HIV J. Biol. Syst. (IF 0.733) Pub Date : 2019-01-09 SHUBHANKAR SAHA; PRITI KUMAR ROY; ROBERT SMITH?
Successful immunologic control of HIV infection can be achieved in long-term non-progressors or HIV-1 controllers. Dendritic cells (DCs) are required for specific antigen presentation to naïve T lymphocytes and for antiviral, type I interferon secretion. To understand this mechanism, we develop a mathematical model that describes the role of direct presentation (replicating virus-infected DCs or other
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EVALUATION OF THE TUBERCULOSIS TRANSMISSION OF DRUG-RESISTANT STRAINS IN MAINLAND CHINA J. Biol. Syst. (IF 0.733) Pub Date : 2019-01-09 JUNYUAN YANG; TOSHIKAZU KUNIYA; FEI XU; YUMING CHEN
In this paper, we propose a mathematical model to evaluate the transmission of Tuberculosis with drug-resistant strains and with drug-sensitive strains. Based on the epidemic data from Chinese Center for Disease Control and Prevention, we first estimate the values of parameters in the model. Then the basic reproduction number of TB infection in the mainland China is calculated to be 1.0558. Since the
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