摘要
主要针对一类非自治食饵具有阶段结构的捕食者非密度制约的捕食食饵模型进行了分析讨论,得到了种群灭绝以及持久的积分形式的充分条件,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,并且通过构造Lyapunov函数得到了系统的全局吸引性,最后利用数值模拟得到了当系统持久时周期模型的全局吸引性.
In this paper , we investigate a non-autonomous predator-prey system witn stage structure in the prey and predator density-independent. Some sufficient conditions on the permanence and extinction of the species are established. Some weU-known results on the predator density-dependent are improved and extended to the predator density-independent case.The global attractivity of the model are obtained by constructing a Lyapunov function. Lastly, an example is given to show that the periodic model is global attractive if the system is permanent.
出处
《数学的实践与认识》
CSCD
北大核心
2012年第18期126-140,共15页
Mathematics in Practice and Theory
基金
2011年新疆工业高等专科学校课题"捕食食饵模型的动力学研究"(2010xgz151112)
