| 具有脉冲效应的Holling—Tanner捕食-被捕食系统的正周期解 |
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| 引用本文： | 杨晓峰,靳祯,孙桂全.具有脉冲效应的Holling—Tanner捕食-被捕食系统的正周期解[J].测试技术学报,2010,24(3):225-230. |
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| 作者姓名： | 杨晓峰 靳祯 孙桂全 |
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| 作者单位： | 中北大学 理学院,山西 太原,030051 |
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| 基金项目： | 国家自然科学基金资助项目，教育部新世纪人才资助计划项目NCET050271)，山西省自然科学基金资助项目 |
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| 摘 要： | 为了描述突然性因素对捕食一被捕食系统的影响,本文建立了具有固定时刻脉冲影响的Holling-Tanner捕食-被捕食系统模型,研究了系统的正周期解的存在性.利用基于叠合度理论的连续定理,证明了模型的正T-周期解的存在性,给出了系统存在正周期解的条件,该条件由两个种群的内禀增长率、脉冲周期及一个脉冲周期内的脉冲影响总量给出,这说明脉冲影响可能导致种群系统的平衡状态发生改变.
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| 关 键 词： | 脉冲效应 Holling-Tanner捕食-被捕食系统 周期解 叠合度 脉冲微分方程 |
Existence of Positive Periodic Solution of the Holling-Tanner Predator-Prey System with Impulsive Effect |
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| YANG Xiaofeng,JIN Zhen,SUN Guiquan.Existence of Positive Periodic Solution of the Holling-Tanner Predator-Prey System with Impulsive Effect[J].Journal of Test and Measurement Techol,2010,24(3):225-230. |
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| Authors: | YANG Xiaofeng JIN Zhen SUN Guiquan |
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| Affiliation: | YANG Xiaofeng,JIN Zhen,SUN Guiquan(School of Science,North University of China,Taiyuan 030051,China) |
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| Abstract: | A model with impulsive effects at some given moments for Holling-tanner predator-prey system is constructed to describe the effect of some abrupt incidents.The existence of positive periodic solution of the system is studied.By the continuous theorem from coincidence degree theory,it is showed that the system has a positive periodic solution with the period T under some conditions.They are formulated by intrinsic growth rate,impulsive period,amount of impulsive effect within an impulsive period of the two p... |
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| Keywords: | impulsive effect Holling-Tanner predator-prey system periodic solution coincidence drgree impulsive differential equation |
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