A time-delay COVID-19 propagation model considering supply chain transmission and hierarchical quarantine rate.

IF 4.1 3区数学 Q1 Mathematics

Advances in Difference Equations Pub Date : 2021-01-01 Epub Date: 2021-03-30 DOI:10.1186/s13662-021-03342-8

Fangfang Yang, Zizhen Zhang

引用次数: 9

Abstract

In this manuscript, we investigate a novel Susceptible-Exposed-Infected-Quarantined-Recovered (SEIQR) COVID-19 propagation model with two delays, and we also consider supply chain transmission and hierarchical quarantine rate in this model. Firstly, we analyze the existence of an equilibrium, including a virus-free equilibrium and a virus-existence equilibrium. Then local stability and the occurrence of Hopf bifurcation have been researched by thinking of time delay as the bifurcation parameter. Besides, we calculate direction and stability of the Hopf bifurcation. Finally, we carry out some numerical simulations to prove the validity of theoretical results.

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考虑供应链传播和分层隔离率的延迟COVID-19传播模型。

在本文中，我们研究了一种新的具有两个延迟的易感-暴露-感染-隔离-恢复(SEIQR) COVID-19传播模型，并在该模型中考虑了供应链传播和分层隔离率。首先，我们分析了平衡的存在性，包括无病毒平衡和有病毒平衡。然后以时滞为分岔参数，研究了Hopf分岔的局部稳定性和发生。此外，我们还计算了Hopf分岔的方向和稳定性。最后，通过数值模拟验证了理论结果的有效性。

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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来源期刊

Advances in Difference Equations 数学-数学

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： The theory of difference equations, the methods used, and their wide applications have advanced beyond their adolescent stage to occupy a central position in applicable analysis. In fact, in the last 15 years, the proliferation of the subject has been witnessed by hundreds of research articles, several monographs, many international conferences, and numerous special sessions. The theory of differential and difference equations forms two extreme representations of real world problems. For example, a simple population model when represented as a differential equation shows the good behavior of solutions whereas the corresponding discrete analogue shows the chaotic behavior. The actual behavior of the population is somewhere in between. The aim of Advances in Difference Equations is to report mainly the new developments in the field of difference equations, and their applications in all fields. We will also consider research articles emphasizing the qualitative behavior of solutions of ordinary, partial, delay, fractional, abstract, stochastic, fuzzy, and set-valued differential equations. Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit.