STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABI

• 作 者: 林玉国 蒋达清 靳曼莉
• 机 构: SchoolofMathematicsandStatistics,CollegeofScience
• 出 处: 数学物理学报：B辑英文版
• 发表日期: 2015年3期
• 关键词: SIR模型 平稳分布 发生情况 随机 稳定 饱和 分布密度 绝对连续 Diffusion process Markov semigroups asymptoti
• 基金项目: The work was supported by Program for ChangjiangScholars and Innovative Research Team in University, NSFC of China （11371085 and 11201008）, and the Ph.D. Programs Foundation of Ministry of China （2009

In this article,we consider a stochastic SIR model and show that the distributions of the solutions of the system are absolutely continuous.Furthermore,we analyze long-time behaviour of densities of the distributions of the solution.We prove that the dens