具有时滞作用的微寄生虫感染捕食者的食饵—捕食者模型  

Prey-Predator Model with Time-Delay Microparasite Infection of the Predator

作　　者：王巧[1] 黄灿云[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《甘肃科学学报》2014年第4期11-15,共5页Journal of Gansu Sciences

基　　金：甘肃省自然科学基金项目(1107RJZA164)

摘　　要：研究了具有微寄生虫感染捕食者的食饵—捕食者系统.通过分析特征方程,讨论系统平衡点的局部渐近稳定性,并且得到了在内部平衡点处Hopf分支存在的条件.利用建立的李雅普诺夫函数和LaSalle不变集原理证明了边界平衡点的全局稳定性.A prey-predator model with microparasitic infection of the predator was investigated. Through the analysis of the characteristic equation,the local asymptotic stability of the equilibria of the system was discussed and sufficient conditions were obtained for the existence of a Hopf bifurcation at the internal equilibrium. On the basis of the established Lyapunov function and I.aSalle invariant principle,the globally asymptotical stability of the boundary equilibrium was proved.

关 键 词：时滞 李雅普诺夫函数 HOPF分支 食饵-捕食系统 

分 类 号：O175[理学—数学]