具有治疗的离散SEIR流行病模型的全局动力学

IF 0.4 Q4 MATHEMATICS Boletim Sociedade Paranaense de Matematica Pub Date : 2022-12-27 DOI:10.5269/bspm.62203
M. DarAssi, Mohammad-Ayman A. Safi
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引用次数: 0

摘要

考虑了具有治疗的离散SEIR流行病模型的全局动力学。得到了该模型在正初始条件下的唯一正解。研究了无病平衡和地方性平衡的稳定性分析。证明了当基本复制数$\mathcal{R}_0\leq1$时,DFE是全局渐近稳定的。提出的模型具有独特的地方性平衡,无论何时$\tilde{\mathcal{R}}_0>1$都是全局渐近稳定的。通过数值模拟验证了理论结果。
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Global dynamics of a discrete SEIR epidemic model with treatment
The global dynamics of a discrete SEIR epidemic model with treatment has been considered. A unique positive solution for the proposed model with the positive initial conditions is obtained. The stability analysis of the disease-free equilibrium and endemic equilibrium have been investigated. It has been proved that the DFE is globally asymptotically stable when the basic reproduction number $\mathcal{R}_0\leq1$. The proposed model has a unique endemic equilibrium that is globally asymptotically stable whenever $\tilde{\mathcal{R}}_0>1$. The theoretical results are illustrated by a numerical simulation.
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来源期刊
CiteScore
1.40
自引率
0.00%
发文量
140
审稿时长
25 weeks
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