On A Model Of Covid-19 Dynamics

Abstract

A model of COVID-19 in an interconnected network of commu-nities is studied. This model considers the dynamics of susceptible, asymp-tomatic and symptomatic individuals, deceased but not yet buried people, as well as the dynamics of the virus or pathogen at connected nodes or com-munities. People can move between communities carrying the virus to any node in the region of n communities (or patches). This model considers both virus direct (person to person) and indirect (contaminated environment to person) transmissions. Using either matrix and graph-theoretic methods and some combinatorial identities, appropriate Lyapunov functions are constructed to study global stability properties of both the disease-free and the endemic equilibrium of the corresponding system of 5n differential equations.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.3934/era.2020108

Keywords

COVID-19, Epidemics, global stability, Lyapunov functions

Publication Date

6-1-2021

Journal Title

Electronic Research Archive

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