摘要
讨论了一类具有连续时滞和阶段结构的捕食-食饵系统,利用微分方程比较定理得到保证此系统持久性的充分性条件;利用迭代方法探讨了此模型的平衡点问题,得到保证此系统全局稳定的充分条件,并通过具体实例证明该条件是可行的.
A predator-prey system with time-delay and stage structure was discussed, some sufficient conditions which guaranteed the permanence of system were determined by using comparison theory; by means of an iterative method, sufficient conditions were derived for the global asymptotic stability of system. Finally an example showed that the conditions were feasible.
出处
《福建农林大学学报（自然科学版）》
CSCD
北大核心
2012年第2期219-224,共6页
Journal of Fujian Agriculture and Forestry University:Natural Science Edition
基金
福建省科技厅资助项目(2009J1007)
关键词
阶段结构
时滞
一致持久性
全局稳定性
stage structure
time-delay
uniform persistence
global asymptotic stability
