Global Asymptotic Stability of a Generalized SEIRS Epidemic Model

摘要

A disease transmission model of SEIRS type with a wide class of nonlinear incidence functions in a constant population is proposed. This model has two equilibria: a disease-free equilibrium and an endemic equilibrium. To our knowledge, the global asymptotic stability of the endemic equilibrium is not investigated in the general case. In the present paper, we use a geometric approach to offer a useful solution of this problem.