新冠肺炎传播的空间扩散SEIR模型的良好性和定性分析

Q2 Agricultural and Biological Sciences

Biomath Pub Date : 2023-07-28 DOI:10.55630/j.biomath.2023.07.207

José Paulo Carvalho dos Santos, Evandro Monteiro, J. C. Ferreira, Nelson Henrique Teixeira Lemes, D. S. Rodrigues

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引用次数: 0

摘要

本文研究了具有空间扩散的新型冠状病毒(COVID-19)的SEIR流行病模型平衡点的适定性和定性行为。利用扇形算子的半群理论和抽象抛物型微分方程的存在性证明了该模型的适定性。利用标准线性化理论建立了无病平衡点和地方病平衡点的渐近局部稳定性，并通过说明性数值模拟加以证实。利用Lyapunov函数建立了无病平衡点和地方性平衡点的渐近全局稳定性。

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Well-posedness and qualitative analysis of a SEIR model with spatial diffusion for COVID-19 spreading

In this paper, we study the well-posedness and the qualitative behavior of equilibria of a SEIR epidemic models with spatial diffusion for the spreading of COVID-19. The well-posedness of the model is proved using both the Semigroup Theory of sectorial operators and existence results for abstract parabolic differential equations. The asymptotical local stability of both disease-free and endemic equilibria are established using standard linearization theory, and confirmed by illustrative numerical simulations. The asymptotical global stability of both disease-free and endemic equilibria are established using a Lyapunov function.

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来源期刊

Biomath Agricultural and Biological Sciences-Agricultural and Biological Sciences (miscellaneous)

CiteScore

2.20

自引率

0.00%

发文量

审稿时长

20 weeks