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Journal J Biol Dyn

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Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model.

Arvind Kumar Misra, Rajanish Kumar Rai, Pankaj Kumar Tiwari, Maia Martcheva,

In this paper, we propose a model to assess the impacts of budget allocation for vaccination and awareness programs on the dynamics of infectious diseases. The budget allocation is assumed to follow logistic growth, and its per capita growth rate increases proportional to disease prevalence. An increment in per-capita growth ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):395-429]

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Estimating the risk of pandemic avian influenza.

Amita Tripathi, Harish Chandra Dhakal, Khagendra Adhikari, Ramesh Chandra Timsina, Lindi M Wahl,

Outbreaks of highly pathogenic strains of avian influenza (HPAI) cause high mortality in avian populations worldwide. When spread from avian reservoirs to humans, HPAI infections cause mortality in about 50% of human infections. Cases of human-to-human transmission of HPAI are relatively rare, and have, to date, only been reported in ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):327-341]

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A continuous-time mathematical model and discrete approximations for the aggregation of β-Amyloid.

Azmy S Ackleh, Saber Elaydi, George Livadiotis, Amy Veprauskas,

Alzheimer's disease is a degenerative disorder characterized by the loss of synapses and neurons from the brain, as well as the accumulation of amyloid-based neuritic plaques. While it remains a matter of contention whether <i>β</i>-amyloid causes the neurodegeneration, <i>β</i>-amyloid aggregation is associated with the disease progression. Therefore, gaining a clearer ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):109-136]

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Transmission rates and environmental reservoirs for COVID-19 - a modeling study.

Chayu Yang, Jin Wang,

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 transmission pathways and which employs time-dependent transmission ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):86-108]

Cited: 4 times

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

Xinli Hu, Jianquan Li, Xiaomei Feng,

In this paper, a deterministic model characterizing the within-host infection of Hepatitis C virus (HCV) in intrahepatic and extrahepatic tissues is presented. In addition, the model also includes the effect of the cytotoxic T lymphocyte (CTL) immunity described by a linear activation rate by infected cells. Firstly, the non-negativity and ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):19-34]

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Global stability of a delayed and diffusive virus model with nonlinear infection function.

Yan Geng, Jinhu Xu,

This paper studies a delayed viral infection model with diffusion and a general incidence rate. A discrete-time model was derived by applying nonstandard finite difference scheme. The positivity and boundedness of solutions are presented. We established the global stability of equilibria in terms of R0 by applying Lyapunov method. The ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):287-307]

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A stochastic predator-prey model with Holling II increasing function in the predator.

Youlin Huang, Wanying Shi, Chunjin Wei, Shuwen Zhang,

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 persistence of the predator ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):1-18]

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Dynamic mechanism of multiple bursting patterns in a whole-cell multiscale model with calcium oscillations.

Xiaowen Xiong, Yanqiu Li, Dongmei Zheng,

The dynamic mechanism of a whole-cell model containing electrical signalling and two-compartment Ca2+ signalling in gonadotrophs is investigated. The transition from spiking to bursting by Hopf bifurcation of the fast subsystem about the slow variable is detected via the suitable parameters. When the timescale of K+ gating variable is changed, ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):308-326]

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The impact of poaching and regime switching on the dynamics of single-species model.

Pengcheng Du, Yunhua Liao,

It is widely recognized that the criminal act of poaching has brought tremendous damage to biodiversity. This paper employs a stochastic single-species model with regime switching to investigate the impact of poaching. We first carry out the survival analysis and obtain sufficient conditions for the extinction and persistence in mean ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):250-268]

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On the basic reproduction number in semi-Markov switching networks.

Xiaochun Cao, Zhen Jin, Guirong Liu, Michael Y Li,

Basic reproduction number R0 in network epidemic dynamics is studied in the case of stochastic regime-switching networks. For generality, the dependence between successive networks is considered to follow a continuous time semi-Markov chain. R0 is the weighted average of the basic reproduction numbers of deterministic subnetworks. Its position with respect ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):73-85]

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Complexity of host-vector dynamics in a two-strain dengue model.

Peter Rashkov, Bob W Kooi,

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 epidemiology follow different ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):35-72]

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Universality of stable multi-cluster periodic solutions in a population model of the cell cycle with negative feedback.

Kiattisak Prathom, Todd R Young,

We study a population model where cells in one part of the cell cycle may affect the progress of cells in another part. If the influence, or feedback, from one part to another is negative, simulations of the model almost always result in multiple temporal clusters formed by groups of ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):455-522]

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

Necibe Tuncer, Maia Martcheva,

In this paper, we introduce three within-host and one within-vector models of Zika virus. The within-host models are the target cell limited model, the target cell limited model with natural killer (NK) cells class, and a within-host-within-fetus model of a pregnant individual. The within-vector model includes the Zika virus dynamics ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):430-454]

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

Xinsheng Ma, Yuhuai Zhang, Yuming Chen,

In this paper, with eclipse stage in consideration, we propose an HIV-1 infection model with a general incidence rate and CTL immune response. We first study the existence and local stability of equilibria, which is characterized by the basic infection reproduction number R0 and the basic immunity reproduction number R1. ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):367-394]

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Effect of innate and adaptive immune mechanisms on treatment regimens in an AIDS-related Kaposi's Sarcoma model.

Obias Mulenga Chimbola, Edward M Lungu, Barbara Szomolay,

Kaposi Sarcoma (KS) is the most common AIDS-defining cancer, even as HIV-positive people live longer. Like other herpesviruses, human herpesvirus-8 (HHV-8) establishes a lifelong infection of the host that in association with HIV infection may develop at any time during the illness. With the increasing global incidence of KS, there ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):213-249]

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Parameter estimation from ICC curves.

Joceline Lega,

Incidence vs. Cumulative Cases (ICC) curves are introduced and shown to provide a simple framework for parameter identification in the case of the most elementary epidemiological model, consisting of susceptible, infected, and removed compartments. This novel methodology is used to estimate the basic reproduction ratio of recent outbreaks, including those ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):195-212]

Cited: 2 times

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Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective.

Maia Martcheva, Necibe Tuncer, Calistus N Ngonghala,

We propose two models inspired by the COVID-19 pandemic: a coupled disease-human behaviour (or disease-game theoretic), and a coupled disease-human behaviour-economic model, both of which account for the impact of social-distancing on disease control and economic growth. The models exhibit rich dynamical behaviour including multistable equilibria, a backward bifurcation, and ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):342-366]

Cited: 1 time

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Long-term transmission dynamics of tick-borne diseases involving seasonal variation and co-feeding transmission.

Kyeongah Nah, Jianhong Wu,

Co-feeding is a mode of pathogen transmission for a wide range of tick-borne diseases where susceptible ticks can acquire infection from co-feeding with infected ticks on the same hosts. The significance of this transmission pathway is determined by the co-occurrence of ticks at different stages in the same season. Taking ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):269-286]

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Impulsive release strategies of sterile mosquitos for optimal control of wild population.

Mingzhan Huang, Lei You, Shouzong Liu, Xinyu Song,

To investigate the release strategies of sterile mosquitoes for the wild population control, we propose mathematical models for the interaction between two-mosquito populations incorporating impulsive releases of sterile ones. The long-term control model is first studied, and the existence and stability of the wild mosquito-extinction periodic solution are exploited. Thresholds ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):151-176]

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SARS-CoV-2 and self-medication in Cameroon: a mathematical model.

Jude D Kong, Rinel F Tchuendom, Samuel A Adeleye, Jummy F David, Fikreab Solomon Admasu, Emmanuel A Bakare, Nourridine Siewe,

Self-medication is an important initial response to illness in Africa. This mode of medication is often done with the help of African traditional medicines. Because of the misconception that African traditional medicines can cure/prevent all diseases, some Africans may opt for COVID-19 prevention and management by self-medicating. Thus to efficiently ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(1):137-150]

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Discrete dynamical models on Wolbachia infection frequency in mosquito populations with biased release ratios.

Yantao Shi, Bo Zheng,

We develop two discrete models to study how supplemental releases affect the <i>Wolbachia</i> spreading dynamics in cage mosquito populations. The first model focuses on the case when only infected males are released at each generation. This release strategy has been proved to be capable of speeding up the <i>Wolbachia</i> persistence ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, :1-20]

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Speed determinacy of travelling waves for a three-component lattice Lotka-Volterra competition system.

Y Tang, C Pan, H Wang, Z Ouyang,

In this paper, the invasive speed selection of the monostable travelling wave for a three-component lattice Lotka-Volterra competition system is studied via the upper and lower solution method, as well as the comparison principle. By constructing several special upper and lower solutions, we establish sufficient conditions such that the linear ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, :1-14]

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The state-dependent impulsive control for a general predator-prey model.

Xiaoxiao Zhu, Huilan Wang, Zigen Ouyang,

In this paper, a general predator-prey model with state-dependent impulse is considered. Based on the geometric analysis and Poincaré map or successor function, we construct three typical types of Bendixson domains to obtain some sufficient conditions for the existence of order-1 periodic solutions. At the same time, the existing domains ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, :1-19]

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Editorial.

Abba Gumel, Yang Kuang,

J Biol Dyn (Journal of biological dynamics)
[2021, 15(sup1):S1-S2]

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Building mean field ODE models using the generalized linear chain trick & Markov chain theory.

Paul J Hurtado, Cameron Richards,

The well known linear chain trick (LCT) allows modellers to derive mean field ODEs that assume gamma (Erlang) distributed passage times, by transitioning individuals sequentially through a chain of sub-states. The time spent in these sub-states is the sum of <i>k</i> exponentially distributed random variables, and is thus gamma distributed. ... Read more >>

J Biol Dyn (Journal of biological dynamics)
[2021, 15(sup1):S248-S272]

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