摘要
研究具有一般Logistic死亡率和标准传染率的SEIRS传染病模型的动力学行为.利用Floquet乘子理论和脉冲微分系统比较定理,证明了无病周期解的存在性和全局渐近稳定性,获得临界值τ0,θ0;并通过Matlab数值模拟的方法发现当τ>τ0或θ<θ0时会形成地方病.
The dynamical behavior of SEIRS epidemic model with generalized Logistic death and standard contact rate is investigated in this paper. Based on Floquet theory and comparison theorem of impulsive differential equation, the existence and globally asymptotical stability of infection free periodic solution are examined, then the critical value τ0, θ0 are obtained. Finally, numerical simulation reveals that the disease will become endemic when τ〉τ0,θ〈θ0.
出处
《南京师大学报（自然科学版）》
CAS
CSCD
北大核心
2013年第2期20-26,共7页
Journal of Nanjing Normal University(Natural Science Edition)
基金
国家自然科学基金(30970478
30970491)
中央高校基本科研业务费专项资金(zyz2011075)
关键词
SEIRS模型
全局渐近稳定
数值模拟
传染病
SEIRS model, globally asymptotical stability, numerical simulation, epidemic
