Global stability for the SEIR model in epidemiology

M Y Li; J S Muldowney

doi:10.1016/0025-5564(95)92756-5

Global stability for the SEIR model in epidemiology

Math Biosci. 1995 Feb;125(2):155-64. doi: 10.1016/0025-5564(95)92756-5.

Authors

M Y Li¹, J S Muldowney

Affiliation

¹ Department of Mathematics, University of Alberta, Edmonton, Canada.

PMID: 7881192
DOI: 10.1016/0025-5564(95)92756-5

Abstract

The SEIR model with nonlinear incidence rates in epidemiology is studied. Global stability of the endemic equilibrium is proved using a general criterion for the orbital stability of periodic orbits associated with higher-dimensional nonlinear autonomous systems as well as the theory of competitive systems of differential equations.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Epidemiology*
Humans
Models, Theoretical*
Nonlinear Dynamics