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Zbl 1245.35136
Liu, Meng; Wu, Qiong; Wang, Ke
Analysis of an improved epidemic model with stochastic disease transmission. (English)
[J] Appl. Math. Comput. 218, No. 19, 9750-9758 (2012). ISSN 0096-3003

Summary: This paper proposes an improved logistic epidemic model and carries out the complete parameters analysis of asymptotic behavior of infectious diseases. Some interesting details such as the threshold value of outbreak of epidemics and critical states of disease spread are derived. The mean and variance of proportion of infected population are given explicitly. The results show that our model is more reasonable and applicable to describe the real situation. Especially, $P\frac12$ might be considered as the alarm for relate institutions to make effective policies to prevent and control some epidemics.

MSC 2000:: *35Q92
92D30 Epidemiology
35Q84

Keywords: epidemic model; logistic model; asymptotic behavior; Fokker-Planck equation

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