| 一类非自治的两互惠捕食者-食饵系统的动力学行为 |
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| 引用本文： | 梁桂珍,王守印,陆志奇.一类非自治的两互惠捕食者-食饵系统的动力学行为[J].河南师范大学学报(自然科学版),2008,36(6). |
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| 作者姓名： | 梁桂珍 王守印 陆志奇 |
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| 作者单位： | 1. 新乡学院,数学系,河南,新乡,453000
2. 河南师范大学,数学与信息科学学院,河南,新乡,453007 |
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| 基金项目： | 河南省教育厅自然科学基金(200510476002) |
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| 摘 要： | 研究了非自治的捕食者-食饵模型.该系统是两个具有互惠关系的捕食者种群捕食一个食饵种群.利用比较原理研究了系统的持久性,通过构造Liapunov函数证明了系统的全局渐近稳定性,在假设系统为周期系统的条件下得到了正周期解的存在唯一性和全局渐近稳定的充分条件.
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| 关 键 词： | 持久性 全局渐近稳定性 非自治捕食系统 周期解 |
Dynamics of a Non-autonomous Predator-Prey System with Two Commensal Predators and one Prey |
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| LIANG Gui-zhen,WANG Shou-yin,LU Zhi-qi.Dynamics of a Non-autonomous Predator-Prey System with Two Commensal Predators and one Prey[J].Journal of Henan Normal University(Natural Science),2008,36(6). |
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| Authors: | LIANG Gui-zhen WANG Shou-yin LU Zhi-qi |
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| Abstract: | In this paper,a non-autonomous predator-prey system with two commensal predators and one prey is studied.This system is permanent by comparative principle and globally asymptotically stable through constructing a Liapunov function;for the periodic case,the research has obtained conditions for existence,uniqueness and stability of a positive periodic solution. |
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| Keywords: | permanence global asymptotic stability non-autonomous predator-prey system periodic solution |
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