Analysis On an SEIR Epidemic Model with Logistic Death Rate of Virus Mutation
Received:July 24, 2018  Revised:October 16, 2018
Key Word: virus mutation   logistic death rate   global stability   algebraic method  
Fund ProjectL:Scientific Research Program Funded by Shaanxi Provincial Education Department (Grant No. 16JK1331); Natural Science Basic Research Plan in Shaanxi Province of China (Grant No.2017JQ1014) and NSF of China (Grant No.11701041); National Natural Science Foundation of P.R. China (Grant No.11401453); The Natural Science Basic Research Plan in Shaanxi Province of China (Grant No.2018JM1011).
Author NameAffiliationE-mail
Jianzhong GAO School of Science, Chang'
'
an University 
gaojianzhong2017@126.com 
Tailei ZHANG School of Science, Chang'
'
an University 
t.l.zhang@126.com 
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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.
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