摘要
目的讨论一类带有接种和因病死亡的SIS-V传染病模型的全局稳定性。方法应用极限系统理论和构造Liapunov函数。结果得到了各类平衡点存在的阈值条件;无病平衡点和地方病平衡点全局渐近稳定的充分必要条件。结论基本再生数是决定疾病是否持续存在与灭绝的阈值。
Aim To discuss global stability for an SIS-V epidemic model with vaccination and the disease-related death. Methods Using limit system theorem and constructing Lyapunov function. Results The threshold of the various equilibrium existence is found; the necessary and sufficient conditions that guarantee the global asymptotic stability of disease-free equilibrium and endemic equilibrium are obtained. Conclusion The basic reproduce number is proved to be a sharp threshold which completely determines the global dynamics and the outcome of the disease.
出处
《西北大学学报（自然科学版）》
CAS
CSCD
北大核心
2009年第5期729-731,749,共4页
Journal of Northwest University（Natural Science Edition）
基金
国家自然科学基金资助项目(10671209)
陕西省教育厅专项基金资助项目(08JK464)
关键词
传染病模型
接种
平衡点
稳定性
epidemic model
basic reproduction number
vaccination
stability
