Global stability for an SEI model of infectious disease with immigration

作者：Sigdel Ram P; McCluskey C Connell^*

来源：Applied Mathematics and Computation, 2014, 243: 684-689.

DOI：10.1016/j.amc.2014.06.020

• Global stability
• Lyapunov function
• Epidemiology
• Immigration

We study an SEI model of disease transmission with immigration into all three classes. For incidence, we allow for a nonlinear response to the number of infectives, including mass action and saturating incidence as special cases. There is no disease-free equilibrium and therefore no basic reproduction number. For all parameter values, the only equilibrium is an endemic equilibrium. Using a Lyapunov function, we show that this equilibrium is globally asymptotically stable.

• 出版日期2014-9-15