一类时变脉冲时滞植物病模型的性态分析  

Global Dynamics of a Delayed Plant Disease Model with Time-varying Impulsive Control

作　　者：刘洋[1] 罗友泉[1] 谢飞平[1] 

机构地区：[1]赣南师范学院数学与计算机科学学院,江西赣州341000

出　　处：《赣南师范学院学报》2016年第3期1-5,共5页Journal of Gannan Teachers' College(Social Science(2))

基　　金：国家自然科学基金项目(11561004);江西省研究生创新专项基金项目(YC2015-S375)

摘　　要：建立一类带时滞、时变脉冲的植物病模型,讨论无病周期解的全局吸引性和疾病的持久性,得到两个相应的阈值R_d,R_u,并且证明当R_d<1时,疾病将趋于灭绝,当R_u>1时,疾病将成为地方病.In this paper,a plant disease model with time-varying impulsive control and time delay is proposed. Sufficient conditions for global attractivity of disease-free periodic solution and permanence of the system are obtained. If Rd〉 1,then the disease will die out,and if Ru〉 1,then the disease will be endemic.

关 键 词：时变脉冲 时滞 植物病 吸引 持久 

分 类 号：O175[理学—数学]