Dynamical Analysis of a Mathematical Model of COVID-19 Spreading on Networks

Wang Li; Xinjie Fu; Yongzheng Sun; Maoxing Liu

doi:10.3389/fphy.2020.601459

Frontiers in Physics (Jan 2021)

Dynamical Analysis of a Mathematical Model of COVID-19 Spreading on Networks

Wang Li,
Xinjie Fu,
Yongzheng Sun,
Maoxing Liu

Affiliations

Wang Li: School of Mathematics, China University of Mining and Technology, Xuzhou, China
Xinjie Fu: School of Science, North University of China, Taiyuan, China
Yongzheng Sun: School of Mathematics, China University of Mining and Technology, Xuzhou, China
Maoxing Liu: School of Science, North University of China, Taiyuan, China

DOI: https://doi.org/10.3389/fphy.2020.601459
Journal volume & issue: Vol. 8

Abstract

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In this article, an SEAIRS model of COVID-19 epidemic on networks is established and analyzed. Following the method of the next-generation matrix, we derive the basic reproduction number R0, and it shows that the asymptomatic infector plays an important role in disease spreading. We analytically show that the disease-free equilibrium E0 is asymptotically stable if R0≤1; moreover, the effects of various quarantine strategies are investigated and compared by numerical simulations. The results obtained are informative for us to further understand the asymptomatic infector in COVID-19 propagation and get some effective strategies to control the disease.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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