2009•Unpublished venueRequires access
Global asymptotic stability of an SEIS epidemic model with constant input
DU Ming-yin
Open publisher page 0 citations
Abstract
An epidemic model with constant input and nonlinear incidence rate is investigated in this paper,and the basic reproductive number R_0 which determines the outcome of the infectious disease is found.The disease-free equilibrium is globally asymptotical stable when R_01.Using second additive compound matrix,it is proved that the unique endemic equilibrium is globally asymptotical stable when R_01.