考虑了时滞随机SIS (susceptible-infected-susceptible)传染病模型, 研究了系统解的存在唯一性, 灭绝性及持久性, 证明了在一定条件下, 减少有利疾病扩散的随机干扰, 或者增加有利于减少感染的随机干扰, 都可使得疾病消亡, 并且研究了使疾病持久存在的因素. 最后, 用计算机仿真证实了文章所得的结论.

In this paper, we have considered a stochastic SIS (susceptible-infected-susceptible) epidemic models with time delay. We first prove the existence and uniqueness, extinction and persistent of the system. Then we prove that it is able to make the disease die out by reducing the stochastic disturbance that is favorable to the spread of the disease, or increasing the stochastic disturbance that is beneficial to reduce the infection. Moreover, we study the factors that make the disease last for a long time. Finally, we support our analytical results with numerical simulations.