摘要
讨论一类含多个时滞且具“基于比率”Holling 功能性反应的三维顺环捕食被捕食系统 .证明了系统的一致持久性 ;当系统是周期系统 ,通过构造 L iapunov泛函 ,得到了系统存在唯一的全局吸引的正周期解的充分条件 ;当系统是概周期系统时 ,通过 Razumikhin函数法 。
A three dimensional prey predator cyclic system with ratio dependent Holling II functional response and time delays is discussed By the Liapunov function method and Razumikhin function method,we proved the uniformly persistence of the system,the existence of a unique positive periodic solution which is globally attractive and a unique positive almost periodic solution which is uniformly asymptotically stable
出处
《广西科学》
CAS
2002年第1期23-26,共4页
Guangxi Sciences
关键词
三维顺环捕食系统
时滞
HOLLING
Ⅱ功能性反应
周期解
概周期解
three dimensional pre predator cyclic model,time delays,Holling Ⅱ functional response,periodic solusion,almost periodic solution
