摘要
主要讨论具有无穷时滞捕食者非密度制约的阶段结构的捕食食饵模型,通过应用分析的手段及比较原理,得到了系统的有界性,持久性和捕食者灭绝性的积分形式的判别条件,并且给出了一些生态方面的解释.把捕食者密度制约的一些重要结论推广到捕食者非密度制约的情形.最后通过实例的数值模拟和仿真验证结果的有效性.
In this paper, we investigate a delayed predator-prey system with staged-structure and predator density-independent. By analyzing the right hand of function and applying the comparison theorem, some new sufficient conditions of integrable form for the boundedness, permanence and extinction of the species are established. Some biological suggestions are given. Some well-known results on the predator density-dependent are improved and extended to the predator density-independent case. The theoretical results are confirmed by a special example and numerical simulations.
出处
《纯粹数学与应用数学》
CSCD
2011年第4期459-471,共13页
Pure and Applied Mathematics
基金
新疆工业高等专科学校校级课题研究项目(2010xgz151112)
