Modeling and dynamical behavior of an SEIR Type COVID-19 pandemic model with time-delay

Document Type : Research Articles

Authors

1 1. Department of Mathematics, Baghlan University, Pol-e-Khomri, Baghlan, Afghanistan 2. Department of Applied Mathematics, Shahrekord University, Shahrekord, P.O.Box 115, Iran

2 Department of Applied Mathematics, Shahrekord University, Shahrekord, Iran

Abstract

In this paper, the local stability of the endemic equilibrium and existence of a Hopf bifurcation in a Susceptible-ExposedInfected-Recovered (SEIR) delayed mathematical model for COVID-
19 pandemic are investigated. By using time-delay as a bifurcation
parameter, the associated characteristic equation is analyzed to reveal dynamics of the model. Finally, numerical simulations are
performed with suitable parameters choice to illustrate the theoretical results of the model.

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