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| 一类非自治无时滞捕食食饵模型的持久性 | |
| 引用本文： | 樊小琳,秦丽华,冯晓梅.一类非自治无时滞捕食食饵模型的持久性[J].数学的实践与认识,2012,42(18):126-140. |
| 作者姓名： | 樊小琳 秦丽华 冯晓梅 |
| 作者单位： | 1. 新疆大学数学与系统科学学院,新疆乌鲁木齐830046;新疆工业高等专科学校基础部,新疆 乌鲁木齐830091 2. 昌吉学院初等教育学院数学教研室,新疆昌吉,831100 3. 运城学院应用数学系,山西运城,044000 |
| 基金项目： | 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" |
| 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. |
| 关 键 词： | 捕食食饵模型 捕食者非密度制约 非自治 阶段结构 持久性和灭绝性 |
Permanence For a Non-Autonomous Predator-Prey System with Predator Density-Independent |
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| FAN Xiao-lin , QIN Li-hua , FENG Xiao-mei.Permanence For a Non-Autonomous Predator-Prey System with Predator Density-Independent[J].Mathematics in Practice and Theory,2012,42(18):126-140. | |
| Authors: | FAN Xiao-lin QIN Li-hua FENG Xiao-mei |
| Institution: | 1.College of Mathematics & Systems Science,Xinjiang University,Urumqi,830046,China) (2.The Department of Basic Education,Xinjiang Ploytechnical,College,Urumqi,830091,China) (3.Mathematics Teaching and Reaserch Office,Institute of Higher Education,Changji University,Changji 831100,China) (4.Department of Mathematics,Yunchen University,Yuncheng 044000,China) |
| Abstract: | In this paper,we investigate a non-autonomous predator-prey system with stage structure in the prey and predator density-independent.Some sufficient conditions on the permanence and extinction of the species are established.Some well-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. |
| Keywords: | predator-prey system density-independent non-autonomous stage structure permanence and extinction |
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