| 具有HollingⅢ类功能反应的三维顺环捕食 食饵模型的概周期问题 |
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| 引用本文： | 唐小平,李靖云,高文杰.具有HollingⅢ类功能反应的三维顺环捕食 食饵模型的概周期问题[J].吉林大学学报(理学版),2006,44(6):857-862. |
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| 作者姓名： | 唐小平 李靖云 高文杰 |
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| 作者单位： | 1. 柳州师范高等专科学校 数学系, 广西壮族自治区 柳州 545004;2. 吉林大学 数学研究所, 长春 130012 |
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| 基金项目： | 国家自然科学基金;面向21世纪教育振兴行动计划(985计划) |
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| 摘 要： | 考虑具有HollingⅢ类功能反应三维顺环捕食系统, 利用常微分方程比较定理、 微分不等式及Liapunov函数方法, 得到该系统持久性的充分条件,并在一定条件下, 得到系统存在一个全局渐近稳定的正周期解和概周期正解的存在惟一性和全局渐近稳定的充分条件.
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| 关 键 词： | HollingⅢ类功能性反应 周期正解 概周期正解 全局渐近稳定性 |
| 文章编号： | 1671-5489(2006)06-0857-06 |
| 收稿时间： | 2006-03-20 |
| 修稿时间： | 2006年3月20日 |
Three-species Clockwise Chain Predator-prey Model with Holling Ⅲ Functional Response |
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| TANG Xiao-ping,LI Jing-yun,GAO Wen-jie.Three-species Clockwise Chain Predator-prey Model with Holling Ⅲ Functional Response[J].Journal of Jilin University: Sci Ed,2006,44(6):857-862. |
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| Authors: | TANG Xiao-ping LI Jing-yun GAO Wen-jie |
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| Affiliation: | 1. Department of Mathematics, Liuzhou Teachers College, Liuzhou 545004, Guangxi Zhuang Autonomous Region, China;2. Institute of Mathematics, Jilin University, Changchun 130012, China |
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| Abstract: | For a three species clockwise chain predator prey system with Holling Ⅲ functional response, some sufficient conditions which guarantee the permanence of the system were determined by using comparison theory and Liapunov function of ordinary differential equation. Moreover, for the periodic system, it has been proved that under certain conditions there exists a unique positive periodic solution which is globally asymptotically stable. Finally we dicussed almost periodic phonomena, and obtained some sufficient conditions which assure the unique existence and globally asymptotic stability of almost positive periodic solution. |
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| Keywords: | Holling Ⅲ functional response positive periodic solution almost positive periodic solution globally asymptotically stability |
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