Global analysis of a delay SVEIR epidemiological model

Document Type: Regular Paper

Authors

1 Department of Mathematical Sciences, Sharif University of Technology, P.O. Box 11155-9415, Tehran, Iran

2 School of Mathematics, Institute for Research in Fundamental Sciences (IPM)

Abstract

This paper is concerned with global analysis of a delay SVEIR epidemiological model in a population of varying size. By using Lyapunov stability method and LaSalle’s invariance principle for delay systems, we prove that when there is no endemic equilibrium, the disease free equilibrium is globally asymptotically stable, otherwise the endemic equilibrium is globally stable.

Keywords