Threshold dynamics of a HCV model with virus to cell transmission in both liver with CTL immune response and the extrahepatic tissue.

abstract：:The coronavirus disease 2019 (COVID-19) remains a global pandemic at present. Although the human-to-human transmission route for this disease has been well established, its transmission mechanism is not fully understood. In this paper, we propose a mathematical model for COVID-19 which incorporates multiple transmissi...

journal_title：Journal of biological dynamics

authors： Yang C,Wang J

更新日期：2021-12-01 00:00:00

abstract：:In this paper, we study a more general diffusive spatially dependent vaccination model for infectious disease. In our diffusive vaccination model, we consider both therapeutic impact and nonlinear incidence rate. Also, in this model, the number of compartments of susceptible, vaccinated and infectious individuals are ...

journal_title：Journal of biological dynamics

authors： Kamrujjaman M,Shahriar Mahmud M,Islam MS

更新日期：2020-11-18 00:00:00

abstract：:The outbreak of COVID-19 was first experienced in Wuhan City, China, during December 2019 before it rapidly spread over globally. This paper has proposed a mathematical model for studying its transmission dynamics in the presence of face mask wearing and hospitalization services of human population in Tanzania. Diseas...

journal_title：Journal of biological dynamics

authors： Mumbu AJ,Hugo AK

更新日期：2020-12-01 00:00:00

abstract：:The turnover rate of producer biomass in aquatic ecosystems is generally faster than in terrestrial. That is, aquatic producer biomass grows, is consumed, and is replaced considerably faster than terrestrial. The WKL model describes the flow of phosphorus and carbon through a grazer-producer system, hence varying the ...

journal_title：Journal of biological dynamics

authors： Davies CM,Wang H

更新日期：2020-05-27 00:00:00

abstract：:To investigate the impact of periodic and impulsive releases of sterile mosquitoes on the interactive dynamics between wild and sterile mosquitoes, we adapt the new idea where only those sexually active sterile mosquitoes are included in the modelling process and formulate new models with time delay. We consider diffe...

journal_title：Journal of biological dynamics

authors： Li J,Ai S

更新日期：2020-12-01 00:00:00

abstract：:We propose a model of a joint spread of heroin use and HIV infection. The unique disease-free equilibrium always exists and it is stable if the basic reproduction numbers of heroin use and HIV infection are both less than 1. The semi-trivial equilibrium of HIV infection (heroin use) exists if the basic reproduction nu...

journal_title：Journal of biological dynamics

authors： Duan XC,Li XZ,Martcheva M

更新日期：2020-12-01 00:00:00

abstract：:A certain class of a host-parasitoid models, where some host are completely free from parasitism within a spatial refuge is studied. In this paper, we assume that a constant portion of host population may find a refuge and be safe from attack by parasitoids. We investigate the effect of the presence of refuge on the l...

journal_title：Journal of biological dynamics

authors： Bešo E,Kalabušić S,Mujić N,Pilav E

更新日期：2020-12-01 00:00:00

abstract：:This paper studies the global stability of discrete-time viral infection models with humoural immunity. We consider both latently and actively infected cells. We study also a model with general production and clearance rates of all compartments as well as general incidence rate of infection. We use nonstandard finite ...

journal_title：Journal of biological dynamics

authors： Elaiw AM,Alshaikh MA

更新日期：2019-12-01 00:00:00

abstract：:The glassy-winged sharpshooter, Homalodisca vitripennis (Germar), is an invasive pest which presents a major economic threat to grape industries in California, because it spreads a disease-causing bacterium, Xylella fastidiosa. In this note we develop a time and temperature dependent mathematical model to analyze aggr...

journal_title：Journal of biological dynamics

authors： Banks HT,Banks JE,Cody NG,Hoddle MS,Meade AE

更新日期：2019-12-01 00:00:00

abstract：:Seed dispersals deal with complex systems through which the data collected using advanced seed tracking facilities pose challenges to conventional approaches, such as empirical and deterministic models. The use of stochastic models in current seed dispersal studies is encouraged. This review describes three existing s...

journal_title：Journal of biological dynamics

authors： Abdullahi A,Shohaimi S,Kilicman A,Ibrahim MH

更新日期：2019-12-01 00:00:00

abstract：:Understanding mosquitoes life cycle is of great interest presently because of the increasing impact of vector borne diseases in several countries. There is evidence of oscillations in mosquito populations independent of seasonality, still unexplained, based on observations both in laboratories and in nature. We propos...

journal_title：Journal of biological dynamics

authors： Strugarek M,Dufour L,Vauchelet N,Almeida L,Perthame B,Villela DAM

更新日期：2019-12-01 00:00:00

abstract：:In this paper, we formulate a stochastic model for hepatitis B virus transmission with the effect of fluctuation environment. We divide the total population into four different compartments, namely, the susceptible individuals in which the disease transmission rate is distributed by white noise, the acutely infected i...

journal_title：Journal of biological dynamics

authors： Khan T,Jung IH,Zaman G

更新日期：2019-12-01 00:00:00

abstract：:We consider a Markovian SIR-type (Susceptible → Infected → Recovered) stochastic epidemic process with multiple modes of transmission on a contact network. The network is given by a random graph following a multilayer configuration model where edges in different layers correspond to potentially infectious contacts of ...

journal_title：Journal of biological dynamics

authors： Jacobsen KA,Burch MG,Tien JH,Rempała GA

更新日期：2018-12-01 00:00:00

abstract：:A deterministic mathematical model with periodic antibiotic prescribing rate is constructed to study the seasonality of Methicillin-resistant Staphylococcus aureus (MRSA) infections taking antibiotic exposure and environmental contamination into consideration. The basic reproduction number ...

journal_title：Journal of biological dynamics

authors： Huang Q,Huo X,Miller D,Ruan S

更新日期：2019-01-01 00:00:00

abstract：:We investigate the problem of how a population of biological species would distribute over a given network of social sites so that their social contacts through the connected sites can be maximized (or minimized). This problem has applications in modelling the behaviours of social (or solitary) species such as the dev...

journal_title：Journal of biological dynamics

authors： Wang M,Zhou W,Wu Z

更新日期：2019-01-01 00:00:00

abstract：:The demography and infection age play an important role in the spread of slowly progressive diseases. To investigate their effects on the disease spreading, we propose a pairwise epidemic model with infection age and demography on dynamic networks. The basic reproduction number of this model is derived. It is proved t...

journal_title：Journal of biological dynamics

authors： Jing W,Jin Z,Zhang J

更新日期：2018-12-01 00:00:00

abstract：:A general notion of the Allee effect for higher dimensional triangular maps is proposed. A global dynamics theory is established. The theory is applied to multi-species hierarchical models. Then we provide a detailed study of the global dynamics of three-species Ricker competition models with the Allee effect. Regions...

journal_title：Journal of biological dynamics

authors： Elaydi S,Kwessi E,Livadiotis G

更新日期：2018-12-01 00:00:00

abstract：:A stochastic control model for finding an ecologically sound, fit-for-purpose dam operation policy to suppress bloom of attached algae in its downstream is presented. A singular exactly solvable and a more realistic regular-singular cases are analysed in terms of a Hamilton-Jacobi-Bellman equation. Regularity and cons...

journal_title：Journal of biological dynamics

authors： Yoshioka H,Yaegashi Y

更新日期：2018-12-01 00:00:00

abstract：:An important problem in spatial ecology is to understand how population-scale patterns emerge from individual-level birth, death, and movement processes. These processes, which depend on local landscape characteristics, vary spatially and may exhibit sharp transitions through behavioural responses to habitat edges, le...

journal_title：Journal of biological dynamics

authors： Yurk BP,Cobbold CA

更新日期：2018-12-01 00:00:00

abstract：:In this paper, an epidemiological model with age of infection and disease relapse is investigated. The basic reproduction number for the model is identified, and it is shown to be a sharp threshold to completely determine the global dynamics of the model. By analysing the corresponding characteristic equations, the lo...

journal_title：Journal of biological dynamics

authors： Xu R

更新日期：2018-12-01 00:00:00

abstract：:A simple mathematical model for the growth of tumour with discrete time delay in the immune system is considered. The dynamical behaviour of our system by analysing the existence and stability of our system at various equilibria is discussed elaborately. We set up an optimal control problem relative to the model so as...

journal_title：Journal of biological dynamics

authors： Ravindran NS,Sheriff MM,Krishnapriya P

更新日期：2017-12-01 00:00:00

abstract：:This study proposes a mathematical model of Anthroponotic visceral leishmaniasis epidemic with saturated infection rate and recommends different control strategies to manage the spread of this disease in the community. To do this, first, a model formulation is presented to support these strategies, with quantification...

journal_title：Journal of biological dynamics

authors： Zamir M,Zaman G,Alshomrani AS

更新日期：2017-12-01 00:00:00

abstract：:Chemovirotherapy is a combination therapy with chemotherapy and oncolytic viruses. It is gaining more interest and attracting more attention in the clinical setting due to its effective therapy and potential synergistic interactions against cancer. In this paper, we develop and analyse a mathematical model in the form...

journal_title：Journal of biological dynamics

authors： Malinzi J,Eladdadi A,Sibanda P

更新日期：2017-12-01 00:00:00

abstract：:A new social epidemic model to depict alcoholism with media coverage is proposed in this paper. Some fundamental properties of the model including existence and positivity as well as boundedness of equilibria are investigated. Stability of all equilibria are studied. The existence of the optimal control pair and mathe...

journal_title：Journal of biological dynamics

authors： Huo HF,Huang SR,Wang XY,Xiang H

更新日期：2017-12-01 00:00:00

abstract：:In this paper, we study the global dynamics and bifurcations of a two-dimensional discrete time host-parasitoid model with strong Allee effect. The existence of fixed points and their stability are analysed in all allowed parametric region. The bifurcation analysis shows that the model can undergo fold bifurcation and...

journal_title：Journal of biological dynamics

authors： Khan AQ,Ma J,Xiao D

更新日期：2017-12-01 00:00:00

abstract：:Based on previous research, we formulate revised, new, simple models for interactive wild and sterile mosquitoes which are better approximations to real biological situations but mathematically more tractable. We give basic investigations of the dynamical features of these simple models such as the existence of equili...

journal_title：Journal of biological dynamics

authors： Li J

更新日期：2017-08-01 00:00:00

abstract：:In this paper, we study complex dynamical behaviour in biological systems due to multiple limit cycles bifurcation. We use simple epidemic and predator-prey models to show exact routes to new types of bistability, that is, bistability between equilibrium and periodic oscillation, and bistability between two oscillatio...

journal_title：Journal of biological dynamics

authors： Yu P,Lin W

更新日期：2016-01-01 00:00:00

abstract：:In the paper, based on the electrophysiological experimental data, the Hippocampal neuron reduced model under the pathology condition of Alzheimer's disease (AD) has been built by modifying parameters' values. The reduced neuron model's dynamic characteristics under effect of AD are comparatively studied. Under direct...

journal_title：Journal of biological dynamics

authors： Peng Y,Wang J,Zheng C

更新日期：2016-01-01 00:00:00

abstract：:We investigate the properties of five mathematical models used to represent the growth of a single population. By imposing a common set of (normalizing) initial conditions, we are able to calculate and explicitly compare the time intervals required to reach specific values of population levels. Based on these results,...

journal_title：Journal of biological dynamics

authors： Mickens RE

更新日期：2016-01-01 00:00:00

abstract：:Organisms can cope with changing temperature under climate change by either adapting to the temperature at which they perform best and/or by dispersing to more benign locations. The evolution of a new thermal niche during range shifting is, however, expected to be strongly constrained by genetic load because spatial s...

journal_title：Journal of biological dynamics

authors： Hillaert J,Boeye J,Stoks R,Bonte D

更新日期：2015-01-01 00:00:00