新冠肺炎延迟SIRC流行模型的稳定性和Hopf分岔分析

IF 0.2 Q4 MATHEMATICS, APPLIED International Journal of Dynamical Systems and Differential Equations Pub Date : 2023-01-01 DOI:10.1504/ijdsde.2023.10055482

Venkataraman Prabhu, G. Shankar

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引用次数: 0

摘要

本文利用SIRC模型和传播延迟研究了COVID-19在大流行期间的传播。我们研究了无感染(E-0)和感染(E-1)稳态都是局部稳定的。根据奈奎斯特准则，我们评估了保持稳定的延迟的持续时间。Hopf分岔用于解释第二周期开始时疾病的性质以及结束该周期所需的干预措施。数值模拟结果支持了理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Stability and Hopf bifurcation analysis of a delayed SIRC epidemic model for Covid-19

This paper examines the spread of COVID-19 during the pandemic using the SIRC model and transmission delay. We investigated both the infection-free (E-0) and the infected (E-1) steady states are locally stable. We evaluated the duration of the delay for which the steadiness pursues to be maintained, by the Nyquist criterion. The Hopf bifurcation is used to explain the nature of the disease at the start of a 2nd cycle and the kinds of interventions needed to end it. Theoretical results are supported through numerical simulations.

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来源期刊

International Journal of Dynamical Systems and Differential Equations MATHEMATICS, APPLIED-

CiteScore

0.80

自引率

0.00%

发文量

期刊介绍： IJDSDE is a quarterly international journal that publishes original research papers of high quality in all areas related to dynamical systems and differential equations and their applications in biology, economics, engineering, physics, and other related areas of science. Manuscripts concerned with the development and application innovative mathematical tools and methods from dynamical systems and differential equations, are encouraged.