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A Diffusive Sveir Epidemic Model with Time Delay and General Incidence
Acta Mathematica Scientia ( IF 1 ) Pub Date : 2021-06-01 , DOI: 10.1007/s10473-021-0421-9
Jinling Zhou 1 , Xinsheng Ma 1 , Yu Yang 2 , Tonghua Zhang 3
Affiliation  

In this paper, we consider a delayed diffusive SVEIR model with general incidence. We first establish the threshold dynamics of this model. Using a Nonstandard Finite Difference (NSFD) scheme, we then give the discretization of the continuous model. Applying Lyapunov functions, global stability of the equilibria are established. Numerical simulations are presented to validate the obtained results. The prolonged time delay can lead to the elimination of the infectiousness.



中文翻译:

具有时间延迟和一般发病率的扩散 Sveir 流行病模型

在本文中,我们考虑具有一般发生率的延迟扩散 SVEIR 模型。我们首先建立该模型的阈值动力学。使用非标准有限差分 (NSFD) 方案,我们然后给出连续模型的离散化。应用 Lyapunov 函数,建立了平衡的全局稳定性。数值模拟被提出来验证获得的结果。延长的时间延迟可以导致传染性的消除。

更新日期:2021-06-01
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