Stability and bifurcation analysis of an HIV-1 infection model with a general incidence and CTL immune response.

abstract：:In this paper, a reaction-diffusion SIR epidemic model via environmental driven infection in heterogeneous space is proposed. To reflect the prevention and control measures of disease in allusion to the susceptible in the model, the nonlinear incidence function E f ...

journal_title：Journal of biological dynamics

authors： Wang N,Zhang L,Teng Z

更新日期：2021-03-16 00:00:00

abstract：:In this study, we estimate the severity of the COVID-19 outbreak in Pakistan prior to and after lockdown restrictions were eased. We also project the epidemic curve considering realistic quarantine, social distancing and possible medication scenarios. The pre-lock down value of ...

journal_title：Journal of biological dynamics

authors： Ali M,Imran M,Khan A

更新日期：2020-12-01 00:00:00

abstract：:Scientists have been seeking ways to use Wolbachia to eliminate the mosquitoes that spread human diseases. Could Wolbachia be the determining factor in controlling the mosquito-borne infectious diseases? To answer this question mathematically, we develop a reaction-diffusion model with free boundary in a one-dimension...

journal_title：Journal of biological dynamics

authors： Liu Y,Guo Z,El Smaily M,Wang L

更新日期：2020-12-01 00:00:00

abstract：:In this paper, we apply a new approach to a special class of discrete time evolution models and establish a solid mathematical foundation to analyse them. We propose new single and multi-species evolutionary competition models using the evolutionary game theory that require a more advanced mathematical theory to handl...

journal_title：Journal of biological dynamics

authors： Mokni K,Elaydi S,Ch-Chaoui M,Eladdadi A

更新日期：2020-12-01 00:00:00

abstract：:This paper proposes a malaria transmission model to describe the dynamics of malaria transmission in the human and mosquito populations. This model emphasizes the impact of limited resource on malaria transmission. We derive a formula for the basic reproductive number of infection and investigate the existence of ende...

journal_title：Journal of biological dynamics

authors： Xing Y,Guo Z,Liu J

更新日期：2020-12-01 00:00:00

abstract：:A deterministic model of onchocerciasis disease dynamics is considered in a community partitioned into compartments based on the disease status. Public health education is offered in the community during the implementation of mass treatment using ivermectin drugs. Also, larviciding and trapping strategies are implemen...

journal_title：Journal of biological dynamics

authors： Hassan A,Shaban N

更新日期：2020-12-01 00:00:00

abstract：:Malaria is mainly a tropical disease and its transmission cycle is heavily influenced by environment: The life-cycles of the Anopheles mosquito vector and Plasmodium parasite are both strongly affected by ambient temperature, while suitable aquatic habitat is necessary for immature mosquito development. Therefore, how...

journal_title：Journal of biological dynamics

authors： Okuneye K,Eikenberry SE,Gumel AB

更新日期：2019-01-01 00:00:00

abstract：:We propose a new method to solve a system of complex ordinary differential equations (ODEs) with hidden hierarchy. Given a complex system of the ODE, the hierarchy of the system is generally hidden. Once we reveal the hierarchy of the system, the system can be reduced into subsystems called slow and fast subsystems. T...

journal_title：Journal of biological dynamics

authors： Nave O,Elbaz M

更新日期：2018-12-01 00:00:00

abstract：:A new bio-economic model for managing population of non-renewable inland fishery resource in uncertain environment is presented. Population dynamics of the resource is described with stochastic differential equations (SDEs) having ambiguous growth and mortality rates. The performance index to be maximized by the manag...

journal_title：Journal of biological dynamics

authors： Yoshioka H,Yaegashi Y

更新日期：2018-12-01 00:00:00

abstract：:Early in a disease outbreak, it is important to be able to estimate the final size of the epidemic in order to assess needs for treatment and to be able to compare the effects of different treatment approaches. However, it is common for epidemics, especially of diseases considered dangerous, to grow much more slowly t...

journal_title：Journal of biological dynamics

authors： Brauer F

更新日期：2019-01-01 00:00:00

abstract：:A number of environmentally transmitted infectious diseases are characterized by intermittent infectiousness of infected hosts. However, it is unclear whether intermittent infectiousness must be explicitly accounted for in mathematical models for these diseases or if a simplified modelling approach is acceptable. To a...

journal_title：Journal of biological dynamics

authors： Lahodny GE Jr,Gautam R,Ivanek R

更新日期：2017-12-01 00:00:00

abstract：:Many models of mutualism have been proposed and studied individually. In this paper, we develop a general class of models of facultative mutualism that covers many of such published models. Using mild assumptions on the growth and self-limiting functions, we establish necessary and sufficient conditions on the bounded...

journal_title：Journal of biological dynamics

authors： Maxin D,Georgescu P,Sega L,Berec L

更新日期：2017-12-01 00:00:00

abstract：:To study the impact of releasing sterile mosquitoes on mosquito-borne disease transmissions, we propose two mathematical models with impulsive releases of sterile mosquitoes. We consider periodic impulsive releases in the first model and obtain the existence, uniqueness, and globally stability of a wild-mosquito-eradi...

journal_title：Journal of biological dynamics

authors： Huang M,Song X,Li J

更新日期：2017-12-01 00:00:00

abstract：:HIV can infect cells via virus-to-cell infection or cell-to-cell viral transmission. These two infection modes may occur in a synergistic way and facilitate viral spread within an infected individual. In this paper, we developed an HIV latent infection model including both modes of transmission and time delays between...

journal_title：Journal of biological dynamics

authors： Wang X,Tang S,Song X,Rong L

更新日期：2017-08-01 00:00:00

abstract：:We develop and analyse an ordinary differential equation model to investigate the transmission dynamics of releasing Wolbachia-infected mosquitoes to establish an endemic infection in a population of wild uninfected mosquitoes. Wolbachia is a genus of endosymbiotic bacteria that can infect mosquitoes and reduce their ...

journal_title：Journal of biological dynamics

authors： Xue L,Manore CA,Thongsripong P,Hyman JM

更新日期：2017-03-01 00:00:00

abstract：:A susceptible-vaccinated-infectious-recovered epidemic model with infection age and relapse age has been formulated. We first address the asymptotic smoothness of the solution semiflow, existence of a global attractor, and uniform persistence of the model. Then by constructing suitable Volterra-type Lyapunov functiona...

journal_title：Journal of biological dynamics

authors： Wang J,Lang J,Chen Y

更新日期：2017-08-01 00:00:00

abstract：:This paper deals with a plant-pollinator model with diffusion and time delay effects. By considering the distribution of eigenvalues of the corresponding linearized equation, we first study stability of the positive constant steady-state and existence of spatially homogeneous and spatially inhomogeneous periodic solut...

journal_title：Journal of biological dynamics

authors： Huang J,Liu Z,Ruan S

更新日期：2017-03-01 00:00:00

abstract：:HIV-infected patients who receive treatment survive for some years after they have acquired the disease. The received treatment causes sustained reduction of viral reproduction by improving the immune function, leading to prolonged progression period to AIDS development. This prolonged progression period has created v...

journal_title：Journal of biological dynamics

authors： Lutambi AM

更新日期：2016-01-01 00:00:00

abstract：:Time delays can affect the dynamics of HIV infection predicted by mathematical models. In this paper, we studied two mathematical models each with two time delays. In the first model with HIV latency, one delay is the time between viral entry into a cell and the establishment of HIV latency, and the other delay is the...

journal_title：Journal of biological dynamics

authors： Alshorman A,Wang X,Joseph Meyer M,Rong L

更新日期：2017-03-01 00:00:00

abstract：:This paper introduces a time-since-recovery structured, multi-strain, multi-population model of avian influenza. Influenza A viruses infect many species of wild and domestic birds and are classified into two groups based on their ability to cause disease: low pathogenic avian influenza (LPAI) and high pathogenic avian...

journal_title：Journal of biological dynamics

authors： Tuncer N,Torres J,Martcheva M,Barfield M,Holt RD

更新日期：2016-01-01 00:00:00

abstract：:Based on game theory, we propose an age-structured model to investigate the imitation dynamics of vaccine uptake. We first obtain the existence and local stability of equilibria. We show that Hopf bifurcation can occur. We also establish the global stability of the boundary equilibria and persistence of the disease. T...

journal_title：Journal of biological dynamics

authors： Yang J,Martcheva M,Chen Y

更新日期：2016-01-01 00:00:00

abstract：:We re-visit the recently published paper on a generalization of the two-sex logistic model by Maxin and Sega [A generalized two-sex logistic model, J. Biol. Dyn. 7(1) (2013), pp. 302-318]. We show that the logistic assumption of a non-increasing birth rate can be replaced by a more general assumption of a non-increasi...

journal_title：Journal of biological dynamics

authors： Maxin D,Sega L

更新日期：2015-01-01 00:00:00

abstract：:Mosquito-borne diseases cause significant public health burden and are widely re-emerging or emerging. Understanding, predicting, and mitigating the spread of mosquito-borne disease in diverse populations and geographies are ongoing modelling challenges. We propose a hybrid network-patch model for the spread of mosqui...

journal_title：Journal of biological dynamics

authors： Manore CA,Hickmann KS,Hyman JM,Foppa IM,Davis JK,Wesson DM,Mores CN

更新日期：2015-01-01 00:00:00

abstract：:For wildlife species living among patchy habitats, disease and the Allee effect (reduced per capita birth rates at low population densities) may together drive a patch's population to extinction, particularly if births are seasonal. Yet local extinction may not be indicative of global extinction, and a patch may becom...

journal_title：Journal of biological dynamics

authors： Ekanayake AJ,Ekanayake DB

更新日期：2015-01-01 00:00:00

abstract：:Allee effects and parasitism are common biological phenomena observed in nature, which are believed to have significant impacts in ecological conservation programmes. In this article, we investigate population dynamics of a discrete-time host-parasitoid system with component Allee effects induced by predation satiatio...

journal_title：Journal of biological dynamics

authors： Kang Y,Sasmal SK,Bhowmick AR,Chattopadhyay J

更新日期：2015-01-01 00:00:00

abstract：:In this paper, we consider a continuous mathematically tractable model and its discrete analogue for the tumour growth. The model formulation is based on stoichiometric principles considering tumour-immune cell interactions in potassium (K (+))-limited environment. Our both continuous and discrete models illustrate 'c...

journal_title：Journal of biological dynamics

authors： Saleem M,Agrawal T,Anees A

更新日期：2014-01-01 00:00:00

abstract：:The aim of this paper is to show that a large class of epidemic models, with both demography and non-permanent immunity incorporated in a rather general manner, can be mathematically formulated as a scalar renewal equation for the force of infection. ...

journal_title：Journal of biological dynamics

authors： Breda D,Diekmann O,de Graaf WF,Pugliese A,Vermiglio R

更新日期：2012-01-01 00:00:00

abstract：:This article compares a general closed nutrient, stoichiometric producer-consumer model to a two-dimensional 'quasi-equilibrium' approximation. We demonstrate that the quasi-equilibrium system can be rigorously analysed, resulting in nullcline-based criteria for the local stability of system equilibria and for the non...

journal_title：Journal of biological dynamics

authors： Stech H,Peckham B,Pastor J

更新日期：2012-01-01 00:00:00

abstract：:We investigate optimal timing of augmentation of an endangered/threatened species population in a target region by moving individuals from a reserve or captive population. This is formulated as a discrete-time optimal control problem in which augmentation occurs once per time period over a fixed number of time periods...

journal_title：Journal of biological dynamics

authors： Bodine EN,Gross LJ,Lenhart S

更新日期：2012-01-01 00:00:00

abstract：:In this paper, we develop several population models with Allee effects. We start by defining the Allee effect as a phenomenon in which individual fitness increases with increasing density. Based on this biological assumption, we develop several fitness functions that produce corresponding models with Allee effects. In...

journal_title：Journal of biological dynamics

authors： Elaydi SN,Sacker RJ

更新日期：2010-07-01 00:00:00