Existence of Periodic Solution for a Non-Autonomous Stage-Structured Predator-Prey System with Impulsive Effects

Lifeng Wu; Zuoliang Xiong; Yiping Deng

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Existence of Periodic Solution for a Non-Autonomous Stage-Structured Predator-Prey System with Impulsive Effects

机译：具有脉冲效应的非自治阶段结构捕食－被捕食系统的周期解的存在性

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In this paper, we studied a non-autonomous predator-prey system where the prey dispersal in a two-patch environment. With the help of a continuation theorem based on coincidence degree theory, we establish sufficient conditions for the existence of positive periodic solutions. Finally, we give numerical analysis to show the effectiveness of our theoretical results.

机译：在本文中，我们研究了一种非自治的捕食者－食饵系统，其中，食饵在两个补丁环境中分散。借助于基于重合度理论的连续定理，我们为正周期解的存在建立了充分的条件。最后，我们进行数值分析以显示我们理论结果的有效性。

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《Applied Mathematics》 |2011年第3期|共8页
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Lifeng Wu; Zuoliang Xiong; Yiping Deng;
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中图分类数学;
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1. Existence of multiple positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms [J] . Zhang Chunhua, Zhang Yuying, Chen Xiaoxing Communications in Mathematical Biology and Neuroscience . 2015,第1期

机译：具有收获条件的脉冲非自治Lotka-Volterra捕食者－食饵系统的多个正概周期解的存在性
2. Existence of Positive Periodic Solutions for a Predator-Prey System of Holling Type IV Function Response with Mutual Interference and Impulsive Effects [J] . Liu Haidong, Meng Fanwei Discrete dynamics in nature and society . 2015,第Pta1期

机译：具有互干扰和脉冲效应的HollingⅣ类功能反应的捕食者-食饵系统正周期解的存在性。
3. Existence of Positive Periodic Solutions for a Predator-Prey System of Holling Type IV Function Response with Mutual Interference and Impulsive Effects [J] . HaidongLiu, FanweiMeng Discrete dynamics in nature and society . 2015,第4期

机译：具有互干扰和脉冲效应的HollingⅣ类功能反应的捕食者-食饵系统正周期解的存在性。
4. Existence and Simulations of Periodic Solution of a Predator-Prey System with Holling-Type Response and Impulsive Effects [C] . Wenxiang Zhang, Zhanji Gui, Kaihua Wang Knowledge engineering and management . 2011

机译：具有Holling响应和脉冲效应的捕食者-食饵系统周期解的存在性与仿真。
5. Existence and Stabilization of Periodic Solutions in Equivariant Systems [D] . Hooton, Edward 2018

机译：等变系统周期解的存在性与稳定性
6. Generation of periodic waves by landscape features in cyclic predator-prey systems. [O] . J A Sherratt, X Lambin, C J Thomas, 2002

机译：循环捕食者－被捕食者系统中的景观特征产生周期波。
7. Existence of Periodic Solution for a Non-Autonomous Stage-Structured Predator-Prey System with Impulsive Effects [O] . Yiping Deng, Zuoliang Xiong, Lifeng Wu 2011

机译：具有脉冲效应的非自治阶段结构捕食－被捕食系统的周期解的存在性

Existence of Periodic Solution for a Non-Autonomous Stage-Structured Predator-Prey System with Impulsive Effects

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