Determining reliable parameter estimates for within-host and within-vector models of Zika virus.

abstract：:Studies have shown that sexual transmission, both heterosexually and homosexually, is one of the main ways of HBV infection. Based on this fact, we propose a mathematical model to study the sexual transmission of HBV among adults by classifying adults into men and women and considering both same-sex and opposite-sex t...

journal_title：Journal of biological dynamics

authors： Lu M,Shu Y,Huang J,Ruan S,Zhang X,Zou L

更新日期：2021-12-01 00:00:00

abstract：:This paper is concerned with a stochastic predator-prey model with Holling II increasing function in the predator. By applying the Lyapunov analysis method, we demonstrate the existence and uniqueness of the global positive solution. Then we show there is a stationary distribution which implies the stochastic persiste...

journal_title：Journal of biological dynamics

authors： Huang Y,Shi W,Wei C,Zhang S

更新日期：2021-12-01 00:00:00

abstract：:We introduce a compartmental host-vector model for dengue with two viral strains, temporary cross-immunity for the hosts, and possible secondary infections. We study the conditions on existence of endemic equilibria where one strain displaces the other or the two virus strains co-exist. Since the host and vector epide...

journal_title：Journal of biological dynamics

authors： Rashkov P,Kooi BW

更新日期：2021-12-01 00:00:00

abstract：:In this paper, a delayed diffusive predator-prey model with schooling behaviour and Allee effect is investigated. The existence and local stability of equilibria of model without time delay and diffusion are given. Regarding the conversion rate as bifurcation parameter, Hopf bifurcation of diffusive system without tim...

journal_title：Journal of biological dynamics

authors： Meng XY,Wang JG

更新日期：2020-12-01 00:00:00

abstract：:We formulate a deterministic epidemic model for the spread of Corona Virus Disease (COVID-19). We have included asymptomatic, quarantine and isolation compartments in the model, as studies have stressed upon the importance of these population groups on the transmission of the disease. We calculate the basic reproducti...

journal_title：Journal of biological dynamics

authors： Ali M,Shah STH,Imran M,Khan A

更新日期：2020-12-01 00:00:00

abstract：:A mathematical model of malaria dynamics with naturally acquired transient immunity in the presence of protected travellers is presented. The qualitative analysis carried out on the autonomous model reveals the existence of backward bifurcation, where the locally asymptotically stable malaria-free and malaria-present ...

journal_title：Journal of biological dynamics

authors： Olaniyi S,Okosun KO,Adesanya SO,Lebelo RS

更新日期：2020-12-01 00:00:00

abstract：:We develop a delay differential equation model for the interactive wild and sterile mosquitoes. Different from the existing modelling studies, we assume that only those sexually active sterile mosquitoes play a role for the interactive dynamics. We consider the cases where the release amount is either constant or desc...

journal_title：Journal of biological dynamics

authors： Yu J,Li J

更新日期：2019-12-01 00:00:00

abstract：:In this paper, we consider a system of delay differential equations that models the oncolytic virotherapy on solid tumours with the delay of viral infection in the presence of the innate immune response. We conduct qualitative and numerical analysis, and provide possible medical implications for our results. The syste...

journal_title：Journal of biological dynamics

authors： Guo Y,Niu B,Tian JP

更新日期：2019-12-01 00:00:00

abstract：:Backward bifurcation has significant implications for disease control. Deriving necessary and sufficient conditions for backward bifurcation is of paramount importance to understand the reasons for its occurrence and devise effective control strategies. In this paper, we review the methods that lead to necessary and s...

journal_title：Journal of biological dynamics

authors： Martcheva M

更新日期：2019-12-01 00:00:00

abstract：:A delayed SEIR epidemic model with saturated incidence and saturated treatment function is considered in this paper. Sufficient conditions for the existence of local Hopf bifurcation are established by regarding the possible combination of the two delays as the bifurcation parameter. General formula for the direction,...

journal_title：Journal of biological dynamics

authors： Liu J

更新日期：2019-12-01 00:00:00

abstract：:Maintaining sustainable ecosystems are important for all the inhabitants of earth. Also, an important component of sustainable ecosystems is the maintenance of healthy coexistence of consumers and their resources which can include diseases in the species involved. We formulate a model, where the resources are plants, ...

journal_title：Journal of biological dynamics

authors： Duffy KJ,Collins OC

更新日期：2019-12-01 00:00:00

abstract：:Explicit expressions in terms of Gaussian Hypergeometric functions are found for a 'balance' manifold that connects the non-zero steady states of a 2-species, non-competitive, scaled Lotka-Volterra system by the unique heteroclinic orbits. In this model, the parameters are the interspecific interaction coefficients wh...

journal_title：Journal of biological dynamics

authors： Ching A,Baigent S

更新日期：2019-12-01 00:00:00

abstract：:The aim of this paper is to investigate the dynamical behaviour of a class of three species Lotka-Volterra competitive-competitive-cooperative models with feedback controls and time delays. By developing a new analysis technique, we obtain some sufficient conditions that ensure these models have the dynamical property...

journal_title：Journal of biological dynamics

authors： Wang C,Li L,Zhang Q,Li R

更新日期：2019-12-01 00:00:00

abstract：:In this paper, we investigate a new alcoholism model in which alcoholics have age structure. We rewrite the model as an abstract non-densely defined Cauchy problem and obtain the condition which guarantees the existence of the unique positive steady state. By linearizing the model at steady state and analyzing the ass...

journal_title：Journal of biological dynamics

authors： Guo ZK,Huo HF,Xiang H

更新日期：2018-12-01 00:00:00

abstract：:We propose an epidemic model for the transmission of hepatitis B virus along with the classification of different infection phases and hospitalized class. We formulate the model and discuss its basic mathematical properties, e.g. existence, positivity, and biological feasibility. Exploiting the next generation matrix ...

journal_title：Journal of biological dynamics

authors： Khan T,Zaman G,Chohan MI

更新日期：2018-12-01 00:00:00

abstract：:In this paper, a malaria transmission model with sterile mosquitoes is considered. We first formulate a simple SEIR malaria transmission model as our baseline model. Then sterile mosquitoes are introduced into the baseline model. We consider the case that the release rate of sterile mosquitoes is proportional to the w...

journal_title：Journal of biological dynamics

authors： Yin H,Yang C,Zhang X,Li J

更新日期：2018-12-01 00:00:00

abstract：:We develop an age of infection model with heterogeneous mixing in which indirect pathogen transmission is considered as a good way to describe contact that is usually considered as direct and we also incorporate virus shedding as a function of age of infection. The simplest form of SIRP epidemic model is introduced an...

journal_title：Journal of biological dynamics

authors： David JF

更新日期：2018-12-01 00:00:00

abstract：:In this paper, a predator-prey system with harvesting prey and disease in prey species is given. In the absence of time delay, the existence and stability of all equilibria are investigated. In the presence of time delay, some sufficient conditions of the local stability of the positive equilibrium and the existence o...

journal_title：Journal of biological dynamics

authors： Meng XY,Qin NN,Huo HF

更新日期：2018-12-01 00:00:00

abstract：:A previously published mathematical model, governing tumour growth with mixed immunotherapy and chemotherapy treatments, is modified and studied. The search time, which is assumed to be neglectable in the previously published model, is incorporated into the functional response for tumour-cell lysis by effector cells. ...

journal_title：Journal of biological dynamics

authors： Wei HC

更新日期：2018-12-01 00:00:00

abstract：:We deal with the following question: Can the consumption of contaminated bush meat, the funeral practices and the environmental contamination explain the recurrence and persistence of Ebola virus disease outbreaks in Africa? We develop an SIR-type model which, incorporates both the direct and indirect transmissions in...

journal_title：Journal of biological dynamics

authors： Berge T,Lubuma JM,Moremedi GM,Morris N,Kondera-Shava R

更新日期：2017-12-01 00:00:00

abstract：:Anticipating critical transitions in spatially extended systems is a key topic of interest to ecologists. Gradually declining metapopulations are an important example of a spatially extended biological system that may exhibit a critical transition. Theory for spatially extended systems approaching extinction that acco...

journal_title：Journal of biological dynamics

authors： O'Regan SM

更新日期：2018-12-01 00:00:00

abstract：:In this paper we study the nonlinear age-structured model of a polycyclic two-phase population dynamics including delayed effect of population density growth on the mortality. Both phases are modelled as a system of initial boundary values problem for semi-linear transport equation with delay and initial problem for n...

journal_title：Journal of biological dynamics

authors： Akimenko V,Anguelov R

更新日期：2017-12-01 00:00:00

abstract：:In this paper, a previous tumour-immune interaction model is simplified by neglecting a relatively weak direct immune activation by the tumour cells, which can still keep the essential dynamics properties of the original model. As the immune activation process is not instantaneous, we now incorporate one delay for the...

journal_title：Journal of biological dynamics

authors： Yu M,Dong Y,Takeuchi Y

更新日期：2017-08-01 00:00:00

abstract：:We study the sensitivity of fishery management per-recruit harvest rates which may be part of a quantitative harvest strategy designed to achieve some objective for catch or population size. We use a local influence sensitivity analysis to derive equations that describe how these reference harvest rates are affected b...

journal_title：Journal of biological dynamics

authors： Cadigan NG,Wang S

更新日期：2016-12-01 00:00:00

abstract：:This work is related to qualitative behaviour of an epidemic model of pine wilt disease. More precisely, we proved that the reproductive number has sharp threshold properties. It has been shown that how vector population can be reduced by the periodic use of insecticides. Numerical simulations show that epidemic level...

journal_title：Journal of biological dynamics

authors： Awan AU,Ozair M,Din Q,Hussain T

更新日期：2016-12-01 00:00:00

abstract：UNLABELLED:The paper presents a model for the evolution of an infectious disease in a population with individual-specific immunity. The immune state of an individual varies with time according to its own dynamics, depending on whether the individual is infected or not. The model involves a system of size-structured (fi...

journal_title：Journal of biological dynamics

authors： Veliov VM,Widder A

更新日期：2016-12-01 00:00:00

abstract：:To study the impact of the sterile insect technique and effects of the mosquitoes' metamorphic stage structure on the transmission dynamics of mosquito-borne diseases, we formulate stage-structured continuous-time mathematical models, based on systems of differential equations, for the interactive dynamics of the wild...

journal_title：Journal of biological dynamics

authors： Li J,Cai L,Li Y

更新日期：2017-03-01 00:00:00

abstract：:Crimean-Congo haemorrhagic fever (CCHF) is a highly contagious tick-borne disease that impacts many countries in parts of Africa, Europe, Asia, and the Middle East. Outbreaks are episodic, but deadly. Due to the highly contagious nature of this disease, suspected cases are taken extremely serious, with very strong con...

journal_title：Journal of biological dynamics

authors： Switkes J,Nannyonga B,Mugisha JY,Nakakawa J

更新日期：2016-01-01 00:00:00

abstract：:We analyse a discrete-time Ricker competition model with n competing species and give sufficient conditions, which depend on the competition coefficients only, for one species to survive (not necessarily at an equilibrium) and to drive all the other species to extinction. Our results complement and extend similar exis...

journal_title：Journal of biological dynamics

authors： Ackleh AS,Salceanu PL

更新日期：2015-01-01 00:00:00

abstract：:This paper discusses a class of impulsive neural networks with the variable delay and complex deviating arguments. By using Mawhin's continuation theorem of coincidence degree and the Halanay-type inequalities, several sufficient conditions for impulsive neural networks are established for the existence and globally e...

journal_title：Journal of biological dynamics

authors： Zhao Y,Feng Z,Ding W

更新日期：2015-01-01 00:00:00