具有脉冲药物治疗的乙肝病毒感染模型周期解的存在性与稳定性  

Existence and Stability of Periodic Solution for a Hepatitis B Virus Infection Model with Medication Pulse

作　　者：龙敏[1] 周铁军[1] 

机构地区：[1]湖南农业大学理学院,湖南长沙410128

出　　处：《湖南人文科技学院学报》2013年第2期45-47,124,共4页Journal of Hunan University of Humanities,Science and Technology

基　　金：湖南省财政厅项目(湘财教字[2010]51号)

摘　　要：讨论了一个具有脉冲药物治疗的乙肝病毒感染模型周期解的存在性与稳定性的问题,利用脉冲微分方程理论获得了一个无病周期解,并通过Floquet乘子定理证明了系统无病周期解全局渐近稳定的条件。The existence and stability of periodic solutions of the model with a pulse therapy of hepatitis B virus infection is mainly discussed, a disease-free periodic solution is obtained using the theory of impulsive differential equations, and through the Floquet multiplier theorem, the condition of system disease-free periodic solution and the global asymptotic stability is proved.

关 键 词：周期解 脉冲 FLOQUET定理 

分 类 号：R18[医药卫生—流行病学]