摘要
研究了一类具有时滞和Holling III类功能性反应的离散捕食系统.运用Gains和Mawhin的重合度及相关的延拓定理和先验估计,得到了系统存在正周期解的易于检验的一个充分条件,因此使得生物种群达到一个新的适宜各物种持续共存发展的稳定状态.
In this paper, a discrete predator-prey system with Holling Ⅲ functional response is investigated. By using Gains and Mawhin' s continuation theorem of the coincidence degree and the related continuation theorem as well as prior estimates, some easily verifiable sufficient conditions for the existence of positive periodic solutions are established. Thus the species arrives at a new stable state in which they could be sustainable development.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
北大核心
2013年第5期686-690,共5页
Journal of Sichuan Normal University(Natural Science)
基金
国家自然科学基金(11261010)
贵州省优秀科技教育人才省长资金(黔省专合(2012)53号)
贵州省科技厅软科学项目(黔科合体R字[2011]LKC2030)
贵州省科学技术基金(黔科合J字[2012]2100)资助项目
关键词
捕食系统
HOLING
Ⅲ类功能性反应
时滞
重合度
周期解
predator-prey system
Holling Ⅲ functional response
time delay
coincidence degree
periodic solution