期刊论文

中文

南华大学学报(自然科学版)

1673-0062

2016

30

1

39-42

10.3969/j.issn.1673-0062.2016.01.008

本校为第一机构

研究了一类随机SIR流行病模型.构建合适的Lyapunov函数,利用It(o)公式,得出了该模型正解的全局存在唯一性;在该结论的基础上,讨论了随机模型的无病平衡点的渐近行为.在一些条件下,得出随机模型解的上确极限的最大值.

In this paper, a stochastic SIR model is investigated. Sufficient condition for the existence of the unique global positive solution is established by constructing suitable Lya- punov function and ItO formula. Based on the result, it proves the asymptotic behavior of disease-free equilibrium of the stochastic model. Under a simple condition, the maximum value of the upper limit ...