| Analysis on an SEIR Epidemic Model with Logistic Death Rate of Virus Mutation |
| Received:July 24, 2018 Revised:November 08, 2018 |
| Key Words:
virus mutation logistic death rate global stability algebraic method
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| Fund Project:Supported by the Natural Science Basic Research Plan of Shaanxi Province (Grant Nos.2018JM1011; 2017JQ1014) and the National Natural Science Foundation of China (Grant No.11701041). |
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| Abstract: |
| In this paper, we propose an SEIR epidemic model with Logistic death rate of virus mutation. By means of the direct Lyapunov method and the LaSalle's Invariance Principle, the global stability of the disease-free equilibrium is proved. Using algebraic method to construct Lyapunov function, the global stability of the endemic equilibrium is proved. In addition, numerical simulations are done and the influence of parameters in the model on disease transmission is analyzed. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2019.03.005 |
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