摘要
研究了一类具有Beddington-DeAngelis功能反应,时滞和非扩散的三种群食物链的捕食系统.当系统为周期系统时,通过重合度理论的延拓定理和Lyapinov的构造,获得系统周期解的存在性和全局渐进稳定性的充分条件.
In this paper, a predator-prey system with Beddington-DeAngelis functional re- sponse consisting, delays and nonlinear diffusion has been investigated. According to use the continuation theorem of coincidence degree theory and constructe a Liapunov function, some sufficient conditions are obtained for the existence of periodic solution and global asymp- totically stability of positive periodic solution when this system turns out to be a periodic system.
作者
梁桂珍
丰莹莹
LIANG Gui-zhen;FENG Ying-ying(School of Mathematics and Informatiov Science, Xinxiang University, Xinxiang 453000, China;School of Mathematics and Statistics, Zhengzhou University, Zhengzhou 450000, China)
出处
《数学的实践与认识》
北大核心
2017年第21期297-303,共7页
Mathematics in Practice and Theory
基金
河南省科技厅科技攻关项目(132102310482)
河南省高等学校重点科研项目(16A110021)
新乡学院科技创新项目(12ZB17)
