Asymptotic behavior of global positive solution to a stochastic SIR model incorporating media coverage

作者：Zhao, Miaochan; Zhao, Huitao^*

来源：Advances in Difference Equations, 2016, 2016(1): 149.

DOI：10.1186/s13662-016-0884-5

• stochastic SIR epidemic model
• media coverage
• asymptotical stability
• global positive solution
• asymptotic behavior

We study the basic dynamical features of a stochastic SIR epidemic model incorporating media coverage. Firstly, we discuss the positivity and boundedness of solutions of the model within deterministic environment and then investigate the asymptotical stability and global stability of equilibria of deterministic model. Secondly, we show that the stochastic model has a unique global positive solution and that this solution oscillates around the equilibria of the deterministic model under certain conditions. Finally, we give some numerical simulations to illustrate our analytical results.

• 出版日期2016-6-8
• 单位周口师范学院