A study on COVID-19 transmission dynamics: Stability analysis of SEIR model with Hopf bifurcation for effect of time delay

DOI: https://doi.org/10.21203/rs.3.rs-27137/v1

Abstract

This paper deals with a general SEIR model for the coronavirus disease 2019 (COVID-19) with the effect of time delay proposed. We get the stability theorems for disease-free equilibrium and provide adequate situations of the COVID-19 transmission dynamics equilibrium of present and absent cases. A Hopf bifurcation parameter $\tau$ is the effects of time delay and we demonstrate that the locally asymptotic stable is present equilibrium. The Reproduction number is brief in less than or greater than one, and it effectively controlling the COVID-19 infection outbreak, and subsequently reveals insight into understanding the patterns of the flare-up. The numerical experiment is calculated to help the theoretical outcomes. 

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