Global Analysis of an SEIR Epidemic Model with Infectious Force under Intervention Strategies

摘要

In this paper, we investigate the global stability of an SEIR (Susceptible-Exposed-Infected-Remove) epidemic model with infectious force under intervention strategies. To address this issue, we prove that the basic reproduction number R_(0) _( )plays an essential role in determining whether the disease extincts or persists. If _( )~(), there is a unique disease-free equilibrium point of the model which is globally asymptotically stable and the disease dies out, and if _( ), there exists a unique endemic equilibrium point which is globally asymptotically stable and the disease persists.