title: Global stability for the SEIR model in epidemiology.
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.
authors.affiliation: Department of Mathematics, University of Alberta, Edmonton, Canada.
authors.forename: M Y
authors.initials: MY
authors.lastname: Li
authors.forename: J S
authors.initials: JS
authors.lastname: Muldowney
mesh_terms: D004813:Epidemiology; D006801:Humans; D008962:Models, Theoretical; D017711:Nonlinear Dynamics