一类具有环境白噪声扰动的随机包虫病动力学模型分析

Analysis of a Stochastic Echinococcosis Dynamical Model with White Noise Perturbation

考虑环境中随机因素的影响,研究了一类受环境白噪声扰动的随机包虫病模型,得到了正解的全局存在唯一性条件:通过构造合适的随机Lyapunov函数,得到疾病随机灭绝性的条件.

Echinococcosis is the parasitic disease of humans and animals,which has an impact on human health.We study a stochastic Echinococcosis dynamical model with white noise perturbation by taking account of the random effects in the environment. We obtain the existence and uniqueness of global positive solution,and discuss the stochastic extinction of the disease by constructing appropriate Lyapunov function.