Global stability for the SEIR model in epidemiology
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1Department of Mathematics, University of Alberta, Edmonton, Canada.
Mathematical Biosciences
|February 1, 1995
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.