摘要
本文研究了一类具有功能反应周期的捕食食饵模型,其中捕食者是非密度制约的.我们得到使系统持久灭绝,周期解存在的积分形式的充分条件.把一些关于捕食者密度制约的重要的结论推广到了捕食者非密度制约的情形.
In this paper,we study a periodic coefficients predator-prey system with functional response and predator density-independence.Sufficient conditions of integrable form for the permanence,extinction and the existence of positive periodic solutions are established,respectively.Some well-known results on the predator densitydependent are improved and extended to the predator density-independent case.
出处
《生物数学学报》
2015年第3期391-404,共14页
Journal of Biomathematics
基金
Supported by the National Natural Science Foundation of People's Republic of China(Grant No.11402223,11301451,61473244 and 61164004)
the Natural Science Foundation of Xinjiang(Grant No.2013211B06,2014211B002)
关键词
捕食食饵系统
非密度制约
功能反应
持久性
灭绝性
Predator-prey system
Density-independent
Functional response
Permanence
Extinction
