摘要
考虑具有追捕时滞与捕食者成熟期时滞的双时滞捕食系统.通过分析特征方程根的情况,得到平衡点的局部稳定性与Hopf分支产生的充分条件.运用迭代方法与比较原理研究了正平衡点全局吸引的充分条件.
A double-delayed predator-prey system with hunting delay and time delay for predator matura- tion was considered. By analyzing the eigenvalue, the sufficient conditions of local stability and Hopf bi- furcation were obtained. Using iteration techniques and comparison arguments, the sufficient condition for the global attractivity of the positive equilibrium was studied.
出处
《郑州大学学报（理学版）》
CAS
北大核心
2015年第1期55-58,共4页
Journal of Zhengzhou University:Natural Science Edition
基金
2014年广西高校科研项目
编号LX2014469
关键词
时滞
阶段结构
捕食系统
HOPF分支
全局稳定性
time delay
stage structure
predator-prey system
Hopf bifurcation
global stability.
