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

• Duan, Lian ^[1] ; Huang, Lihong ^[2] ; Huang, Chuangxia ^[2]
  1. [1] Anhui University of Science and Technology

     Anhui University of Science and Technology

     China

     
  2. [2] Changsha University of Science and Technology

     Changsha University of Science and Technology

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 3, 2021
• Idioma: inglés
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• Resumen

  • 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.