摘要
建立了一个有快慢进展、接种和治疗的TB模型,定义了模型的基本再生数R0,通过构造Lyapunov函数来研究解的渐近性态.证明了当R01时,无病平衡点是全局渐近稳定的;也证明了当R0>1时,惟一的地方病平衡点是全局渐近稳定的.
A TB transmission model with fast and slow progression, vaccination, and therapy is formulated. The basic reproduction number R0 is defined. The asymptotic behaviors of solutions are studied by constructing Lyapunov functions. It is proved that the disease-free equilibrium is globally asymptotically stable when R0 ≤1, and the unique endemic equilibrium is globally asymptotically stable when R0 〉 1.
出处
《数学的实践与认识》
CSCD
北大核心
2007年第21期63-69,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金(10531030)