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

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Abstract

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 \({\mathcal {R}}_{0}\). It is shown that if \({\mathcal {R}}_{0}<1\) the disease-free steady state is globally asymptotically stable and the disease dies out; if \({\mathcal {R}}_{0}>1\) then the disease persists. Finally, a numerical example is provided to support the theoretical analysis. Our model extended the previous known results.

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Data Availability Statement

The Matlab program that support the findings of this study are available from the corresponding author upon reasonable request.

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Authors and Affiliations

  1. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, 232001, Anhui, People’s Republic of China

    Lian Duan

  2. School of Computer Engineering and Applied Mathematics, Changsha University, Changsha, 410114, Hunan, People’s Republic of China

    Lihong Huang

  3. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, 410114, Hunan, People’s Republic of China

    Chuangxia Huang

Authors
  1. Lian Duan
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  2. Lihong Huang
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  3. Chuangxia Huang
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Correspondence to Lian Duan.

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This work was jointly supported by the Major Program of University Natural Science Research Fund of Anhui Province(KJ2020ZD32), National Natural Science Foundation of China (11701007, 11771059,11971076), Natural Science Foundation of Anhui Province (1808085QA01), China Postdoctoral Science Foundation (2018M640579), Postdoctoral Science Foundation of Anhui Province (2019B329).

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Duan, L., Huang, L. & Huang, C. Dynamics of a Diffusive Avian Influenza Model with Spatial Heterogeneity and General Incidence Rate. Qual. Theory Dyn. Syst. 20, 81 (2021). https://doi.org/10.1007/s12346-021-00507-4

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