包含非线性发生率和预防接种的随机SIRS传染病模型

摘要

This paper deals with global dynamics of an SIRS epidemic model for infection with nonpermanent acquired immunity. The SIRS model studied here incorporates a preventive vaccination and generalized non-linear incidence rate as well as the disease-related death. The stochastic version, the global existence and positivity of the solution is showed, the global stability in probability and stochastically asymptotically stable in the large is proved under suitable condition on the intensity of the white noise perturbation.%讨论了非持续免疫SIRS传染病模型的全局性。这里研究的SIRS包含了预防接种和非线性发生率及因病死忙率。由全局存在性和正解可以看出，以概率稳定性和全局随机渐进稳定性在强烈的白噪音扰动条件下成立。