Resumen de Dynamics of a Diffusive Avian Influenza Model with Spatial Heterogeneity and General Incidence Rate

Lian Duan, Lihong Huang, Chuangxia Huang

• In this paper, we investigate a diffusive avian influenza model with general incidence rate, the threshold dynamics for the model is completely characterized by the basic reproduction number R0. It is shown that if R0 < 1 the disease-free steady state is globally asymptotically stable and the disease dies out; if R0 > 1 then the disease persists. Finally, a numerical example is provided to support the theoretical analysis.

  Our model extended the previous known results.