Analysis of a novel stochastic SIRS epidemic model with two different saturated incidence rates

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• 作者：Zhengbo Chang^a ; ^c ; ^{zbchang98@126.com} ; Xinzhu Meng^a ; ^b ; ^c ; ^{mxz721106@sdust.edu.cn} ; Xiao Lu^c
• 关键词：Stochastic epidemic model ; Stochastic dynamics ; Ito&rsquo ; s formula ; Nonlinear incidence rate ; Persistence in mean
• 刊名：Physica A: Statistical Mechanics and its Applications
• 出版年：2017
• 出版时间：15 April 2017
• 年：2017
• 卷：472
• 期：Complete
• 页码：103-116
• 全文大小：887 K
• 卷排序：472

文摘

A new nonlinear stochastic SIRS model with two different nonlinear incidence rates. Sufficient conditions for the threshold of persistence in mean and extinction of the stochastic system. Lyapunov methods and new differential inequality techniques for SDE. Numerical simulations verify the correct stochastic dynamics of the model.