新疆大学学报（自然科学版）
新疆大學學報（自然科學版）
신강대학학보（자연과학판）
XINJIANG UNIVERSITY JOURNAL(NATURAL SCIENCE EDITION)
2014年
1期
57-63
,共7页
热木孜亚·热布哈提%夏米西努尔·阿布都热合曼
熱木孜亞·熱佈哈提%夏米西努爾·阿佈都熱閤曼
열목자아·열포합제%하미서노이·아포도열합만
传染病模型%Lyapunov函数%伊藤公式%以概率全局稳定性%随机渐进稳定性%几乎指数稳定性
傳染病模型%Lyapunov函數%伊籐公式%以概率全跼穩定性%隨機漸進穩定性%幾乎指數穩定性
전염병모형%Lyapunov함수%이등공식%이개솔전국은정성%수궤점진은정성%궤호지수은정성
Epidemic model%Lypunov function%Ito’s formula%Global stability in probability%Stochastic asymptotic stability%Almost sure exponential stability
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。
討論瞭非持續免疫SIRS傳染病模型的全跼性。這裏研究的SIRS包含瞭預防接種和非線性髮生率及因病死忙率。由全跼存在性和正解可以看齣，以概率穩定性和全跼隨機漸進穩定性在彊烈的白譟音擾動條件下成立。
토론료비지속면역SIRS전염병모형적전국성。저리연구적SIRS포함료예방접충화비선성발생솔급인병사망솔。유전국존재성화정해가이간출，이개솔은정성화전국수궤점진은정성재강렬적백조음우동조건하성립。
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.
