| 具有时滞和脉冲的非线性食饵-竞争系统的正周期解 |
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| 引用本文： | 鲁红英,王维国.具有时滞和脉冲的非线性食饵-竞争系统的正周期解[J].数学的实践与认识,2011,41(7). |
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| 作者姓名： | 鲁红英 王维国 |
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| 作者单位： | 东北财经大学数学与数量经济学院,辽宁,大连,116025 |
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| 基金项目： | 国家自然科学基金，辽宁省高等学校优秀人才支持计划，科技部创新方法专项资助 |
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| 摘 要： | 利用重合度理论中的延拓定理研究了脉冲作用对非线性时滞食饵-竞争系统的影响,即考察具有时滞和脉冲的非线性食饵-竞争系统的周期性,得到了该系统存在非平凡正周期解的一个充分性判别依据.
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| 关 键 词： | 非线性 脉冲 时滞 周期解 重合度 |
Positive Periodic Solution of a Nonlinear Prey-Competition Impulsive System with Delays |
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| LU Hong-ying,WANG Wei-guo.Positive Periodic Solution of a Nonlinear Prey-Competition Impulsive System with Delays[J].Mathematics in Practice and Theory,2011,41(7). |
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| Authors: | LU Hong-ying WANG Wei-guo |
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| Institution: | LU Hong-ying,WANG Wei-guo (School of Mathematics and Quantitative Economics,Dongbei University of Finance and Economics,Dalian 116025,China) |
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| Abstract: | In this paper,an existence criterion of positive periodic solution of a nonlinear prey-competition impulsive system with delays is obtained by using continuation theorem in coincidence degree theory. |
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| Keywords: | nonlinear impulsive delays periodic solutions coincidence degree |
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