摘要
应用机理分析法,建立了含有两个年龄阶段结构和具有终身免疫性的传染病的数学模型,分析了该模型平衡点的渐近稳定性,得到了在适当条件下,疾病可去平衡点和地方病平衡点为全局渐近稳定的结论.
The mechanics analytic method was applied to set up a class epidemic mathematics model with two stage-structure and life-immunity. Asymptotic stability of equilibrium point of the mathematical model was analyzed and a conclusion that global asymptotic stability was shown in the infection-free equilibrium point and endemic equilibrium under some fitting condition,was obtained.
出处
《天津师范大学学报（自然科学版）》
CAS
2004年第4期46-49,52,共5页
Journal of Tianjin Normal University：Natural Science Edition
基金
武警部队科学基金资助课题(WKH2004-7)
关键词
传染病模型
阶段结构
平衡点
全局渐近稳定性
epidemic model
stage-structure
equilibrium point
global asymptotic stability
