AUTHOR=Li Wang , Fu Xinjie , Sun Yongzheng , Liu Maoxing 

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

JOURNAL=Frontiers in Physics

VOLUME=8

YEAR=2021

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2020.601459

DOI=10.3389/fphy.2020.601459

ISSN=2296-424X

ABSTRACT=<p>In this article, an <inline-formula id="inf1"><mml:math id="mml-math1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>S</mml:mi><mml:mi>E</mml:mi><mml:mi>A</mml:mi><mml:mi>I</mml:mi><mml:mi>R</mml:mi><mml:mi>S</mml:mi></mml:mrow></mml:math></inline-formula> 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 <italic>R</italic><sub>0</sub>, and it shows that the asymptomatic infector plays an important role in disease spreading. We analytically show that the disease-free equilibrium <inline-formula id="inf2"><mml:math id="mml-math2" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is asymptotically stable if <inline-formula id="inf3"><mml:math id="mml-math3" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mn>0</mml:mn></mml:msub><mml:mo>≤</mml:mo><mml:mn>1</mml:mn><mml:mo>;</mml:mo></mml:mrow></mml:math></inline-formula> 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.</p>