On global stability analysis for SEIRS models in epidemiology with nonlinear incidence rate function

We study an SEIRS epidemic model with an isolation and nonlinear incidence rate function. We have obtained a threshold value R0 and shown that there is only a diseasefree equilibrium point, when R0 〈 1 and an endemic equilibrium point if R0 〈 1. We have shown that both disease-free and endemic equilibrium point are globally stable.