Existence of Periodic Solutions of Predator-Prey Diffusive System with Ratio-Dependence III Type and Stage Structure

机译：具有比率依赖Ⅲ型和阶段结构的捕食者－食饵扩散系统周期解的存在性

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In this paper, a non-autonomous predator-prey system with Ratio-Dependence III type functional response and stage structure for predator and time delay in patch circumstances is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, a set of easily verifiable sufficient conditions to guarantee the existence of positive periodic solutions of the system are obtained. Some new results are obtained.

机译：本文研究了一种具有比率依赖III型功能响应，具有阶段性结构的捕食者和具有时滞的时滞系统的非自治捕食者—食饵系统。通过使用Gaines和Mawhin的重合度理论连续定理，获得了一组易于验证的充分条件，以保证系统存在正周期解。获得了一些新结果。

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《Fourth international conference on information and computing》|2011年|p.392-395|共4页
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作者
Guo Wei;
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中图分类计算技术、计算机技术;
关键词
coincidence degree theory; positive periodic solution; predator-prey diffusive system;

机译：符合度理论正周期解捕食-被捕食扩散系统;

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专利

1. Existence of multiple positive periodic solutions to a periodic predator-prey system with harvesting terms and Holling III type functional response [J] . Fengying Wei Communications in Nonlinear Science and Numerical Simulation . 2011,第4期

机译：具有收获项和Holling III型功能性反应的捕食者－食饵系统的多个正周期解的存在
2. Existence of Periodic Solution for a Non-Autonomous Stage-Structured Predator-Prey System with Impulsive Effects [J] . Lifeng Wu, Zuoliang Xiong, Yiping Deng Applied Mathematics . 2011,第3期

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
3. PERIODIC SOLUTIONS AND ALMOST PERIODIC SOLUTIONS OF A NONAUTONOMOUS PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURE AND DELAY [J] . Ou Liuman, Luo Guilie Annals of Differential Equations . 2003,第2期

机译：具有阶段结构和时滞的非自治捕食-被捕食系统的周期解和几乎周期解
4. Existence of Periodic Solutions of Predator-Prey Diffusive System with Ratio-Dependence III Type and Stage Structure [C] . Guo Wei International Conference on Information and Computing . 2011

机译：与比例依赖性III型和阶段结构的捕食者 - 捕食扩散系统周期解的存在性
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. A new result on the existence of periodic solutions for Liénard equations with a singularity of repulsive type [O] . Shiping Lu -1

机译：具有奇异斥力型Liénard方程周期解存在性的新结果
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 Solutions of Predator-Prey Diffusive System with Ratio-Dependence III Type and Stage Structure

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