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The role of long-lived plasma cells in viral clearance J. Biol. Dyn. (IF 2.8) Pub Date : 2024-03-06 Mingran Zhang, Meili Li, Junling Ma
The adaptive immune system has two types of plasma cells (PC), long-lived plasma cells (LLPC) and short-lived plasma cells (SLPC), that differ in their lifespan. In this paper, we propose that LLPC...
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Optimal control of a multi-scale HIV-opioid model J. Biol. Dyn. (IF 2.8) Pub Date : 2024-02-18 Eric Numfor, Necibe Tuncer, Maia Martcheva
In this study, we apply optimal control theory to an immuno-epidemiological model of HIV and opioid epidemics. For the multi-scale model, we used four controls: treating the opioid use, reducing HI...
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Investigating the impact of vaccine hesitancy on an emerging infectious disease: a mathematical and numerical analysis J. Biol. Dyn. (IF 2.8) Pub Date : 2024-01-04 Indunil M. Hewage, Kevin E. M. Church, Elissa J. Schwartz
Throughout the last two centuries, vaccines have been helpful in mitigating numerous epidemic diseases. However, vaccine hesitancy has been identified as a substantial obstacle in healthcare manage...
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A stochastic multi-host model for West Nile virus transmission J. Biol. Dyn. (IF 2.8) Pub Date : 2023-12-28 Emily B. Horton, Suzanne L. Robertson
When initially introduced into a susceptible population, a disease may die out or result in a major outbreak. We present a Continuous-Time Markov Chain model for enzootic WNV transmission between t...
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An epidemiological model for analysing pandemic trends of novel coronavirus transmission with optimal control J. Biol. Dyn. (IF 2.8) Pub Date : 2023-12-29 Tahir Khan, Fathalla A. Rihan, Qasem M. Al-Mdallal
Symptomatic and asymptomatic individuals play a significant role in the transmission dynamics of novel Coronaviruses. By considering the dynamical behaviour of symptomatic and asymptomatic individu...
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Optimal control strategies on HIV/AIDS and pneumonia co-infection with mathematical modelling approach J. Biol. Dyn. (IF 2.8) Pub Date : 2023-12-22 Shewafera Wondimagegnhu Teklu, Birhanu Baye Terefe, Dejen Ketema Mamo, Yohannes Fissha Abebaw
In this paper, a compartmental model on the co-infection of pneumonia and HIV/AIDS with optimal control strategies was formulated using the system of ordinary differential equations. Using qualitat...
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Modeling and analysis of a multilayer solid tumour with cell physiological age and resource limitations J. Biol. Dyn. (IF 2.8) Pub Date : 2023-12-22 Zhonghu Luo, Zijian Liu, Yuanshun Tan, Jin Yang
We study an avascular spherical solid tumour model with cell physiological age and resource constraints in vivo. We divide the tumour cells into three components: proliferating cells, quiescent cel...
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Mathematical model of Ehrlichia chaffeensis transmission dynamics in dogs J. Biol. Dyn. (IF 2.8) Pub Date : 2023-12-11 Folashade B. Agusto, Ramsès Djidjou-Demasse, Ousmane Seydi
Ehrlichia chaffeensis is a tick-borne disease transmitted by ticks to dogs. Few studies have mathematical modelled such tick-borne disease in dogs, and none have developed models that incorporate d...
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Modeling impact of vaccination on COVID-19 dynamics in St. Louis J. Biol. Dyn. (IF 2.8) Pub Date : 2023-12-05 Alexanderia Lacy, Morganne Igoe, Praachi Das, Trevor Farthing, Alun L. Lloyd, Cristina Lanzas, Agricola Odoi, Suzanne Lenhart
The region of St. Louis, Missouri, has displayed a high level of heterogeneity in COVID-19 cases, hospitalization, and vaccination coverage. We investigate how human mobility, vaccination, and time...
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Mathematical modelling and release thresholds of transgenic sterile mosquitoes J. Biol. Dyn. (IF 2.8) Pub Date : 2023-11-28 Jianshe Yu, Jia Li
We formulate simple differential equation models to study the impact of releases of transgenic sterile mosquitoes carrying a dominant lethal on mosquito control based on the modified sterile insect...
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Modelling and analysis of periodic impulsive releases of the Nilaparvata lugens infected with wStri-Wolbachia J. Biol. Dyn. (IF 2.8) Pub Date : 2023-11-29 Xiangjun Dai, Qi Quan, Jianjun Jiao
In this paper, we formulate a population suppression model and a population replacement model with periodic impulsive releases of Nilaparvata lugens infected with wStri. The conditions for the stab...
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Mathematical model on HIV and nutrition J. Biol. Dyn. (IF 2.8) Pub Date : 2023-11-28 Tharusha Bandara, Maia Martcheva, Calistus N. Ngonghala
HIV continues to be a major global health issue, having claimed millions of lives in the last few decades. While several empirical studies support the fact that proper nutrition is useful in the fi...
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Honoring the life and legacy of Fred Brauer J. Biol. Dyn. (IF 2.8) Pub Date : 2023-11-21 Christopher M. Kribs, Pauline van den Driessche
The work of Fred Brauer (1932–2021) broke new ground in several areas of mathematical population biology, especially mathematical epidemiology and population management. This special issue reflects...
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Stability switches and chaos induced by delay in a reaction-diffusion nutrient-plankton model J. Biol. Dyn. (IF 2.8) Pub Date : 2023-11-14 Qing Guo, Lijun Wang, He Liu, Yi Wang, Jianbing Li, Pankaj Kumar Tiwari, Min Zhao, Chuanjun Dai
In this paper, we investigate a reaction-diffusion model incorporating dynamic variables for nutrient, phytoplankton, and zooplankton. Moreover, we account for the impact of time delay in the growt...
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Dynamical questions in volume transmission J. Biol. Dyn. (IF 2.8) Pub Date : 2023-10-24 Allison Cruikshank, H. Frederik Nijhout, Janet Best, Michael Reed
In volume transmission (or neuromodulation) neurons do not make one-to-one connections to other neurons, but instead simply release neurotransmitter into the extracellular space from numerous varic...
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A simple reaction–diffusion system as a possible model for the origin of chemotaxis J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-27 Yishu Gong, Alexander Kiselev
Chemotaxis is a directed cell movement in response to external chemical stimuli. In this paper, we propose a simple model for the origin of chemotaxis – namely how a directed movement in response t...
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Treatment outcome in an SI model with evolutionary resistance: a Darwinian model for the evolution of resistance J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-21 J. M. Cushing, Junpyo Park, Alex Farrell, Nakul Chitnis
We consider a Darwinian (evolutionary game theoretic) version of a standard susceptible-infectious SI model in which the resistance of the disease causing pathogen to a treatment that prevents deat...
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A discrete-time nutrients-phytoplankton-oysters mathematical model of a bay ecosystem* J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-19 Najat Ziyadi
Populations are generally censused daily, weekly, monthly or annually. In this paper, we introduce a discrete-time nutrients-phytoplankton-oysters (NPO) model that describes the interactions of nut...
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Treatment of leishmaniasis with chemotherapy and vaccine: a mathematical model J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-21 Nourridine Siewe, Avner Friedman
Leishmaniasis, an infectious disease, manifests itself mostly in two forms, cutaneous leishmaniasis (CL) and, a more severe and potentially deadly form, visceral leishmaniasis (VL). The current con...
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Robust steady states in ecosystems with symmetries J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-20 Sana Jahedi, Timothy Sauer, James A. Yorke
Steady states of dynamical systems, whether stable or unstable, are critical for understanding future evolution. Robust steady states, ones that persist under small changes in the model parameters,...
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Correction J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-22
Published in Journal of Biological Dynamics (Vol. 17, No. 1, 2023)
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Application of the replication–transmission relativity theory in the development of multiscale models of infectious disease dynamics J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-14 Winston Garira, Kizito Muzhinji
Despite the existence of a powerful theoretical foundation for the development of multiscale models of infectious disease dynamics in the form of the replication–transmission relativity theory, the majority of current modelling studies focus more on single-scale modelling. The explicit aim of this study is to change the current predominantly single-scale modelling landscape in the design of planning
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A computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-14 Raimund Bürger, Gerardo Chowell, Ilja Kröker, Leidy Yissedt Lara-Díaz
A computational approach is adapted to analyze the parameter identifiability of a compartmental model. The model is intended to describe the progression of the COVID-19 pandemic in Chile during the initial phase in early 2020 when government declared quarantine measures. The computational approach to analyze the structural and practical identifiability is applied in two parts, one for synthetic data
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Growth rate, evolutionary entropy and ageing across the tree of life J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-14 Jorge Buescu, Henrique M. Oliveira, Mónica Sousa
The growth rate of a population serves as a measure of its Darwinian fitness, while its sensitivity indicates the intensity of selection. Generally, the sensitivity of r decreases with age, resulting in an expected increase in population mortality over time. However, this does not hold true for many populations, especially those exhibiting negative senescence. Both evolutionary entropy and its sensitivity
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Steady solution and its stability of a mathematical model of diabetic atherosclerosis J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-15 Xuming Xie
Atherosclerosis is a leading cause of death worldwide. Making matters worse, nearly 463 million people have diabetes, which increases atherosclerosis-related inflammation. Diabetic patients are twice as likely to have a heart attack or stroke. In this paper, we consider a simplified mathematical model for diabetic atherosclerosis involving LDL, HDL, glucose, insulin, free radicals (ROS), β cells, macrophages
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Optimal control and cost-effectiveness analysis for leptospirosis epidemic J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-11 Habtamu Ayalew Engida, David Mwangi Theuri, Duncan Kioi Gathungu, John Gachohi
This paper aims to apply an optimal control theory for the autonomous model of the leptospirosis epidemic to examine the effect of four time-dependent control measures on the model dynamics with cost-effectiveness. Pontryagin's Maximum Principle was used to derive the optimality system associated with the optimal control problem. Numerical simulations of the optimality system were performed for different
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A study on the transmission dynamics of COVID-19 considering the impact of asymptomatic infection J. Biol. Dyn. (IF 2.8) Pub Date : 2023-09-01 Chuanqing Xu, Zonghao Zhang, Xiaotong Huang, Kedeng Cheng, Songbai Guo, Xiaojing Wang, Maoxing Liu, Xiaoling Liu
ABSTRACT The COVID-19 epidemic has been spreading around the world for nearly three years, and asymptomatic infections have exacerbated the spread of the epidemic. To analyse and evaluate the role of asymptomatic infections in the spread of the epidemic, we establish an improved COVID-19 infectious disease dynamics model. We fit the epidemic data in the four time periods corresponding to the selected
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Technique to derive discrete population models with delayed growth J. Biol. Dyn. (IF 2.8) Pub Date : 2023-08-30 Sabrina H. Streipert, Gail S. K. Wolkowicz
We provide a procedure for deriving discrete population models for the size of the adult population at the beginning of each breeding cycle and assume only adult individuals reproduce. This derivation technique includes delay to account for the number of breeding cycles that a newborn individual remains immature and does not contribute to reproduction. These models include a survival probability (during
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The impact of predators of mosquito larvae on Wolbachia spreading dynamics J. Biol. Dyn. (IF 2.8) Pub Date : 2023-08-21 Zhongcai Zhu, Yuanxian Hui, Linchao Hu
Dengue fever creates more than 390 million cases worldwide yearly. The most effective way to deal with this mosquito-borne disease is to control the vectors. In this work we consider two weapons, the endosymbiotic bacteria Wolbachia and predators of mosquito larvae, for combating the disease. As Wolbachia-infected mosquitoes are less able to transmit dengue virus, releasing infected mosquitoes to invade
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Unequal effects of SARS-CoV-2 infections: model of SARS-CoV-2 dynamics in Cameroon (Sub-Saharan Africa) versus New York State (United States) J. Biol. Dyn. (IF 2.8) Pub Date : 2023-08-20 Nourridine Siewe, Abdul-Aziz Yakubu
Worldwide, the recent SARS-CoV-2 virus disease outbreak has infected more than 691,000,000 people and killed more than 6,900,000. Surprisingly, Sub-Saharan Africa has suffered the least from the SARS-CoV-2 pandemic. Factors that are inherent to developing countries and that contrast with their counterparts in developed countries have been associated with these disease burden differences. In this paper
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The interplay between multiple control mechanisms in a host–parasitoid system: a discrete-time stage-structured modelling approach J. Biol. Dyn. (IF 2.8) Pub Date : 2023-08-17 Azmy S. Ackleh, Jenita Jahangir, Amy Veprauskas
We propose a discrete-time host–parasitoid model with stage structure in both species. For this model, we establish conditions for the existence and global stability of the extinction and parasitoid-free equilibria as well as conditions for the existence and local stability of an interior equilibrium and system persistence. We study the model numerically to examine how pesticide spraying may interact
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Adaptive delayed reproduction in a 2-dimensional discrete-time competition model J. Biol. Dyn. (IF 2.8) Pub Date : 2023-08-17 Ryusuke Kon
This paper studies a 2-dimensional discrete-time competition model of Ricker type with reproductive delay. The model is examined under the assumption that species 1 and 2 have the same properties except that a fraction η of species 1 individuals delays the initiation of reproduction. This assumption ensures that species 1 is dominated by species 2 in the sense that species 2 is increasing whenever
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Effects of behaviour change on HFMD transmission J. Biol. Dyn. (IF 2.8) Pub Date : 2023-08-15 Tongrui Zhang, Zhijie Zhang, Zhiyuan Yu, Qimin Huang, Daozhou Gao
ABSTRACT We propose a hand, foot and mouth disease (HFMD) transmission model for children with behaviour change and imperfect quarantine. The symptomatic and quarantined states obey constant behaviour change while others follow variable behaviour change depending on the numbers of new and recent infections. The basic reproduction number R0R0 of the model is defined and shown to be a threshold for disease
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Effects of prey refuge and predator cooperation on a predator–prey system J. Biol. Dyn. (IF 2.8) Pub Date : 2023-08-03 Sophia R-J Jang, Ahmed M. Yousef
ABSTRACT We develop and investigate a discrete-time predator–prey model with cooperative hunting among predators and a spatial prey refuge. The system can exhibit two positive equilibria if the magnitude of cooperation is large and the maximal reproduction number of predators is less than one. In such a scenario, the predator population may exhibit a strong Allee effect, and therefore the predator
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How heterogeneity in density dependence affects disease spread: when lifestyle matters J. Biol. Dyn. (IF 2.8) Pub Date : 2023-07-31 Christopher M. Kribs, Mohammed H. Alharbi
People's lifestyles play a major role in disease risk. Some employment sectors and transport modes involve fixed exposures regardless of community size, while in other settings exposure tracks with population density. MERS-CoV, a coronavirus discovered in Saudi Arabia in 2012 closely related to those causing SARS and COVID-19, appears to need extended contact time for transmission, making some segments
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Threshold dynamics of a stochastic mathematical model for Wolbachia infections J. Biol. Dyn. (IF 2.8) Pub Date : 2023-07-07 Jin Yang, Zhuo Chen, Yuanshun Tan, Zijian Liu, Robert A. Cheke
A stochastic mathematical model is proposed to study how environmental heterogeneity and the augmentation of mosquitoes with WolbachiaWolbachia bacteria affect the outcomes of dengue disease. The existence and uniqueness of the positive solutions of the system are studied. Then the V-geometrically ergodicity and stochastic ultimate boundedness are investigated. Further, threshold conditions for successful
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Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment J. Biol. Dyn. (IF 2.8) Pub Date : 2023-06-28 Juping Zhang, Xueyan Ma, Zhen Jin
ABSTRACT A multi-patch HIV/AIDS model with heterosexual transmission is formulated to investigate the impact of population migration on the spread of HIV/AIDS. We derive the basic reproduction number R0 and prove that if R0<1, the disease-free equilibrium is globally asymptotically stable. If R0>1 and certain conditions are satisfied, the endemic equilibrium is globally asymptotically stable. We apply
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Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey J. Biol. Dyn. (IF 2.8) Pub Date : 2023-06-20 Zhenliang Zhu, Yuming Chen, Fengde Chen, Zhong Li
ABSTRACT In this work, we first modify a Lotka–Volterra predator–prey system to incorporate an opportunistic predator and weak Allee effect in prey. The prey will be extinct if the combined effect of hunting and other food resources of predator is large. Otherwise, the dynamic behaviour of the system is extremely rich. A series of bifurcations such as saddle-node bifurcation, Hopf bifurcation, and
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Dynamical behaviour of an intraguild predator–prey model with prey refuge and hunting cooperation J. Biol. Dyn. (IF 2.8) Pub Date : 2023-06-12 Xin-You Meng, Yan Feng
ABSTRACT An intraguild predator–prey model including prey refuge and hunting cooperation is investigated in this paper. First, for the corresponding ordinary differential equation model, the existence and stability of all equilibria are given, and the existence of Hopf bifurcation, direction and stability of bifurcating periodic solutions are investigated. Then, for partial differential equation model
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Exploration on dynamics in a discrete predator–prey competitive model involving feedback controls J. Biol. Dyn. (IF 2.8) Pub Date : 2023-06-05 Changjin Xu, Xiaohan Cui, Peiluan Li, Jinling Yan, Lingyun Yao
In this work, we set up a new discrete predator–prey competitive model with time-varying delays and feedback controls. By virtue of the difference inequality knowledge, a sufficient condition which guarantees the permanence of the established discrete predator–prey competitive model with time-varying delays and feedback controls is derived. Under some appropriate parameter conditions, we have proved
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A mathematical model for the impact of disinfectants on the control of bacterial diseases J. Biol. Dyn. (IF 2.8) Pub Date : 2023-05-03 Rabindra Kumar Gupta, Rajanish Kumar Rai, Pankaj Kumar Tiwari, Arvind Kumar Misra, Maia Martcheva
Here, we investigate a mathematical model to assess the impact of disinfectants in controlling diseases that spread in the population via direct contacts with the infected persons and also due to bacteria present in the environment. We find that the disease-free and endemic equilibria of the system are related via a transcritical bifurcation whose direction is forward. Our numerical results show that
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A refined asymptotic result of one-dimensional flux limited Keller–Segel models J. Biol. Dyn. (IF 2.8) Pub Date : 2023-04-19 Xin Xu
In this paper, we consider a flux-limited Keller–Segel model derived in [Citation16, Citation18] in a one-dimensional bounded domain and give a refined asymptotic result of the spiky steady state by using the Sturm oscillation theorem in a more meticulous way based on the existence result of spiky steady state in [Citation4], showing a more accurate characterization of the cell aggregation phenomenon
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Optimal control and cost-effectiveness analysis of age-structured malaria model with asymptomatic carrier and temperature variability J. Biol. Dyn. (IF 2.8) Pub Date : 2023-04-13 Asha Kalula, Eunice Mureithi, Theresia Marijani, Isambi Mbalawata
This paper presents an age-structured mathematical model for malaria transmission dynamics with asymptomatic carrier and temperature variability. The temperature variability function is fitted to the temperature data, and the malaria model is then fitted to the malaria cases and validated to check its suitability. Time-dependent controls were considered, including Long Lasting Insecticide Nets, treatment
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A stochastic predator–prey model with two competitive preys and Ornstein–Uhlenbeck process J. Biol. Dyn. (IF 2.8) Pub Date : 2023-03-22 Qun Liu
In this paper, a stochastic predator–prey model with two competitive preys and Ornstein–Uhlenbeck process is formulated and analysed, which is used to obtain a better understanding of the population dynamics. At first, we validate that the stochastic system has a unique global solution with any initial value. Then we analyse the stochastic dynamics of the model in detail, including pth moment boundedness
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A mathematical model with nonlinear relapse: conditions for a forward-backward bifurcation J. Biol. Dyn. (IF 2.8) Pub Date : 2023-03-20 Fabio Sanchez, Jorge Arroyo-Esquivel, Juan G. Calvo
ABSTRACT We constructed a Susceptible-Addicted-Reformed model and explored the dynamics of nonlinear relapse in the Reformed population. The transition from susceptible considered at-risk is modeled using a strictly decreasing general function, mimicking an influential factor that reduces the flow into the addicted class. The basic reproductive number is computed, which determines the local asymptotically
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Epidemic highs and lows: a stochastic diffusion model for active cases J. Biol. Dyn. (IF 2.8) Pub Date : 2023-03-15 Luis F. Gordillo, Priscilla E. Greenwood, Dana Strong
We derive a stochastic epidemic model for the evolving density of infective individuals in a large population. Data shows main features of a typical epidemic consist of low periods interspersed with outbreaks of various intensities and duration. In our stochastic differential model, a novel reproductive term combines a factor expressing the recent notion of ‘attenuated Allee effect’ and a capacity
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Dynamical analysis of a heroin–cocaine epidemic model with nonlinear incidence and spatial heterogeneity J. Biol. Dyn. (IF 2.8) Pub Date : 2023-03-15 Jinhu Xu
In this paper, we investigated a new heroin–cocaine epidemic model which incorporates spatial heterogeneity and nonlinear incidence rate. The main project of this paper is to explore the threshold dynamics in terms of the basic reproduction number R0, which was defined by applying the next-generation operator. The threshold type results shown that if R0<1, then the drug-free steady state is globally
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Modeling virus transport and dynamics in viscous flow medium J. Biol. Dyn. (IF 2.8) Pub Date : 2023-03-02 Dharmendra Tripathi, Dinesh Bhandari, Rakesh Kumar, Yasser Aboelkassem
ABSTRACT In this paper, we developed a mathematical model to simulate virus transport through a viscous background flow driven by the natural pumping mechanism. Two types of respiratory pathogens viruses (SARS-Cov-2 and Influenza-A) are considered in this model. The Eulerian–Lagrangian approach is adopted to examine the virus spread in axial and transverse directions. The Basset–Boussinesq–Oseen equation
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Combining impact of velocity, fear and refuge for the predator–prey dynamics J. Biol. Dyn. (IF 2.8) Pub Date : 2023-02-28 Kawkab Abdullah Nabhan Al Amri, Qamar J. A. Khan
We develop a deterministic predator–prey compartmental model to investigate the impact of their velocities on their interactions. Prey hides in a refuge area and comes out of this area when predation pressure declines. To avoid predation, prey can limit their velocity. For antipredator behaviour, we examined that prey mortality increases when either predator or prey velocity increases while raising
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Modelling the transmission dynamics and optimal control strategies for HIV infection in China J. Biol. Dyn. (IF 2.8) Pub Date : 2023-02-14 Ling Xue, Yuanmei Sun, Xue Ren, Wei Sun
ABSTRACT In order to end the AIDS epidemic by 2030 that was put forward by the Joint United Nations Programme on HIV/AIDS in 2014, China needs to take more effective measures to achieve the three 90% goals (90-90-90). We establish a compartmental model to study the dynamics of HIV transmission with control strategies. The analytical results show the existence and stability of the disease-free equilibrium
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A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategies J. Biol. Dyn. (IF 2.8) Pub Date : 2023-02-14 Shewafera Wondimagegnhu Teklu, Belela Samuel Kotola
HIV/AIDS-COVID-19 co-infection is a major public health concern especially in developing countries of the world. This paper presents HIV/AIDS-COVID-19 co-infection to investigate the impact of interventions on its transmission using ordinary differential equation. In the analysis of the model, the solutions are shown to be non-negative and bounded, using next-generation matrix approach the basic reproduction
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Stationary distribution and global stability of stochastic predator-prey model with disease in prey population J. Biol. Dyn. (IF 2.8) Pub Date : 2023-01-17 C. Gokila, M. Sambath, K. Balachandran, Yong-Ki Ma
In this paper, a new stochastic four-species predator-prey model with disease in the first prey is proposed and studied. First, we present the stochastic model with some biological assumptions and establish the existence of globally positive solutions. Moreover, a condition for species to be permanent and extinction is provided. The above properties can help to save the dangered population in the ecosystem
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Predation-induced dispersal toward fitness for predator invasion in predator–prey models J. Biol. Dyn. (IF 2.8) Pub Date : 2023-01-17 Wonhyung Choi, Kwangjoong Kim, Inkyung Ahn
In this paper, we consider a predator–prey model with nonuniform predator dispersal, called predation-induced dispersal (PID), which represents predator motility depending on the maximal predation rate and the predator death rate in a spatially heterogeneous region. We study the local stability of the semitrivial steady state when predators are absent for models with PID and linear dispersal. We then
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A contact tracing SIR model for randomly mixed populations J. Biol. Dyn. (IF 2.8) Pub Date : 2022-12-15 Sam Bednarski, Laura L.E. Cowen, Junling Ma, Tanya Philippsen, P. van den Driessche, Manting Wang
Contact tracing is an important intervention measure to control infectious diseases. We present a new approach that borrows the edge dynamics idea from network models to track contacts included in a compartmental SIR model for an epidemic spreading in a randomly mixed population. Unlike network models, our approach does not require statistical information of the contact network, data that are usually
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Dynamical analysis of a modified Leslie–Gower Holling-type II predator-prey stochastic model in polluted environments with interspecific competition and impulsive toxicant input J. Biol. Dyn. (IF 2.8) Pub Date : 2022-12-14 Yongxin Gao, Shuyuan Yao
In this paper, we use a mean-reverting Ornstein-Uhlenbeck process to simulate the stochastic perturbations in the environment, and then a modified Leslie–Gower Holling-type II predator-prey stochastic model in a polluted environment with interspecific competition and pulse toxicant input is proposed. Through constructing V-function and applying Ito^′s formula, the sharp sufficient conditions including
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The effects of evolution on the stability of competing species J. Biol. Dyn. (IF 2.8) Pub Date : 2022-12-10 S. Elaydi, Y. Kang, R. Luís
Based on evolutionary game theory and Darwinian evolution, we propose and study discrete-time competition models of two species where at least one species has an evolving trait that affects their intra-specific, but not their inter-specific competition coefficients. By using perturbation theory, and the theory of the limiting equations of non-autonomous discrete dynamical systems, we obtain global
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Optimal reduced-mixing for an SIS infectious-disease model J. Biol. Dyn. (IF 2.8) Pub Date : 2022-11-22 Erin Stafford, Mark Kot
Which reduced-mixing strategy maximizes economic output during a disease outbreak? To answer this question, we formulate an optimal-control problem that maximizes the difference between revenue, due to healthy individuals, and medical costs, associated with infective individuals, for SIS disease dynamics. The control variable is the level of mixing in the population, which influences both revenue and
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Dynamics of a multi-strain malaria model with diffusion in a periodic environment J. Biol. Dyn. (IF 2.8) Pub Date : 2022-11-22 Yangyang Shi, Hongyong Zhao, Xuebing Zhang
This paper mainly explores the complex impacts of spatial heterogeneity, vector-bias effect, multiple strains, temperature-dependent extrinsic incubation period (EIP) and seasonality on malaria transmission. We propose a multi-strain malaria transmission model with diffusion and periodic delays and define the reproduction numbers Ri and R^i (i = 1, 2). Quantitative analysis indicates that the disease-free
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Dynamics of a glucose–insulin model J. Biol. Dyn. (IF 2.8) Pub Date : 2022-11-17 Mingju Ma, Jun Li
Diabetes mellitus is a noncommunicable disease, which is a serious threat to human health around the world. In this paper, we propose a simple glucose–insulin model with Michaelis–Menten function as insulin degradation rate to mimic the pathogenic mechanism of diabetes. By theoretical analysis, a unique positive equilibrium of model exists and it is globally asymptotically stable. The four strategies
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Analysis of HIV latent infection model with multiple infection stages and different drug classes J. Biol. Dyn. (IF 2.8) Pub Date : 2022-10-20 Areej Alshorman, Nidal Al-hosainat, Trachette Jackson
Latently infected CD 4+ T cells represent one of the major obstacles to HIV eradication even after receiving prolonged highly active anti-retroviral therapy (HAART). Long-term use of HAART causes the emergence of drug-resistant virus which is then involved in HIV transmission. In this paper, we develop mathematical HIV models with staged disease progression by incorporating entry inhibitor and latently