摘要
研究了一类具有阶段结构的SIS成年传染病模型的渐近性态,讨论了无病平衡点与地方病平衡点的存在性和局部渐近稳定性及无病平衡点的全局渐近稳定性,找到了种群一致持续生存的条件.
The asymptotic behavior of a structured SIS epidemic model is studied. Sufficient conditions for the existence and locally asymptotic stablity of the disease free equilibrium and endemic equilibrium are obtained. A condition for the disease free equilibrium to be globally asymptotic stable is obtained. Moreover, a condition for the population to be uniformly persistent is established.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第6期863-868,共6页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10271096).
