摘要
建立了一个在红细胞内期具有Beddington-DeAngelis功能反应的疟疾传播数学模型.利用下一代矩阵得到基本再生数R0,并通过构造Lyapunov函数,证明了当R0≤1时,该模型无病平衡点全局渐近稳定;当R0>1时,正平衡点全局渐近稳定.
In this paper,a malaria dynamic model with Beddington-DeAngelis functional response is proposed.With the next-generation matrix method,the basic reproduction number R0 is obtained.By constructing Lyapunov functions,it is shown that the infection-free equilibrium is globally asymptotically stable when R0≤1and the positive equilibrium is globally asymptotically stable when R01.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2015年第9期94-99,共6页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金项目(11171276)
