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    Article

    Dynamics of a Predator–Prey Model with Memory-Based Diffusion

    In this paper, we propose and analyze a diffusive predator–prey model with memory-based diffusion, which is described by a delayed predator-taxis term. We first obtain the existence and uniform boundedness of ...

    Yujia Wang, Chuncheng Wang, Dejun Fan in Journal of Dynamics and Differential Equat… (2023)

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    Article

    Dynamics of A Single Population Model with Memory Effect and Spatial Heterogeneity

    In this paper, a single reaction-diffusion population model with memory effect and the heterogeneity of the environment, equipped with the Neumann boundary, is considered. The global existence of a spatial non...

    Yujia Wang, Dejun Fan, Chuncheng Wang in Journal of Dynamics and Differential Equations (2022)

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    Article

    Diffusive Spatial Movement with Memory

    Animal movements and their underlying mechanisms are an extremely important research area in biology and have been extensively studied for centuries. However, spatial memory and cognition, which is the most si...

    Jun** Shi, Chuncheng Wang, Hao Wang in Journal of Dynamics and Differential Equat… (2020)

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    Open Access

    Modeling the effects of vaccination on rotavirus infection

    In this article, a mathematical model of a rotavirus infection incorporating vaccination has been developed and comprehensively analyzed. The basic reproduction number,

    Onyango Lawrence Omondi, Chuncheng Wang, ** Xue in Advances in Difference Equations (2015)

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    Open Access

    Sensitivity and uncertainty analysis of a simplified Kirschner-Panetta model for immunotherapy of tumor-immune interaction

    In this study, we have simplified the Kirschner-Panetta model on the interaction of tumor cells and effector cells by considering linear growth term as opposed to logistic growth term used by Kirschner and Pan...

    Onyango Lawrence Omondi, Chuncheng Wang, ** Xue in Advances in Difference Equations (2015)

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    Article

    Global Hopf Bifurcation Analysis of a Nicholson’s Blowflies Equation of Neutral Type

    We investigate Hopf bifurcations in a delayed Nicholson’s blowflies equation of neutral type, derived from the Gurtin–MacCamy model. A key parameter that determines the direction of the Hopf bifurcation and th...

    Michael Y. Li, Chuncheng Wang, Junjie Wei in Journal of Dynamics and Differential Equations (2014)