具有阶段结构和时滞的宿主-寄生虫交互模型研究  

Analysis of a Host-parasite Interaction Model with Stage Structure and Delay

作　　者：魏金和[1] 赵瑜[1] 

机构地区：[1]宁夏师范学院数学与计算机科学学院,宁夏固原756000

出　　处：《宁夏师范学院学报》2011年第6期4-10,共7页Journal of Ningxia Normal University

基　　金：宁夏自然科学基金资助项目(NZ10228);宁夏师范学院科研基金资助项目(YB2010014)

摘　　要：研究了具有非线性传染率和阶段结构的时滞宿主-寄生虫模型,得到了决定感染与否的基本再生数R0,通过特征方程的分析得到了各平衡点的局部稳定性,利用比较定理探讨了未感染平衡点的全局稳定性,并得到了系统是一致持续生存的充分条件.A delayed host-parasite model with nonlinear infection rate and stage structure is investigated,and the basic reproductive number is obtained which determined whether infected or not.The locally stability of the equilibriums is discussed by characteristic equation analysis.Furthermore,the globally stability of infection free equilibrium was obtained by comparative theorem,and a sufficient condition of the system consistently persistence is obtained.

关 键 词：宿主-寄生虫 阶段结构 时滞 稳定性 持续生存 

分 类 号：O175[理学—数学]