Analysis on an SEIR Epidemic Model with Logistic Death Rate of Virus Mutation
Received:July 24, 2018  Revised:November 08, 2018
Key Word: virus mutation   logistic death rate   global stability   algebraic method  
Fund ProjectL: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).
Author NameAffiliation
Jianzhong GAO School of Science, Chang'an University, Shaanxi 710064, P. R. China 
Tailei ZHANG School of Science, Chang'an University, Shaanxi 710064, P. R. China 
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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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