Existence and global stability of positive periodic solutions for predator-prey system with infinite delay and diffusion

Zhu HG; Wang K; Li XJ

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Existence and global stability of positive periodic solutions for predator-prey system with infinite delay and diffusion

机译：具有无限时滞和扩散的捕食者-食饵系统正周期解的存在性和全局稳定性。

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In this paper, we study a periodic predator-prey system with Holling type III functional response, in which the prey species can diffuse among two patches but the predator is confined in one patch. By using the continuation theorem of coincidence degree theory and Lyapunov functional, some sufficient conditions are obtained. (c) 2006 Elsevier Ltd. All rights reserved.

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《Nonlinear analysis. Real world applications》 |2007年第3期|共15页
作者
Zhu HG; Wang K; Li XJ;
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正文语种 eng
中图分类数学分析;
关键词
positive periodic solutions; global stability; predator-prey system infinite delay; diffusion; Mawhins's continuous theorem; ASYMPTOTIC STABILITY; PATCHY ENVIRONMENT; TIME-DELAY; DISPERSAL; DYNAMICS; MODELS;

机译：正周期解;全局稳定性;捕食者-食饵系统无限延迟;扩散;Mawhins连续定理;渐近稳定性;时滞环境;时滞;离散;动态;模型;

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专利

1. Existence and global stability of positive periodic solutions for predator-prey system with infinite delay and diffusion [J] . Zhu HG, Wang K, Li XJ Nonlinear analysis. Real world applications . 2007,第3期

机译：具有无限时滞和扩散的捕食者-食饵系统正周期解的存在性和全局稳定性。
2. Existence and global stability of positive periodic solutions of a predator-prey system with delays [J] . Wang LL., Li WT. Applied mathematics and computation . 2003,第1期

机译：时滞捕食者-食饵系统正周期解的存在性和全局稳定性。
3. Existence and global stability of positive periodic solutions of a predator-prey system with delays [J] . Wang LL., Li WT. Applied mathematics and computation . 2003,第1期

机译：时滞捕食者-食饵系统正周期解的存在性和全局稳定性。
4. Existence of Positive Periodic Solution of a Ratio-Dependent Predator-Prey System with Time Delays [C] . Xinyi Chen International Conference on Electronics, Network and Computer Engineering . 2016

机译：与时间延迟的比例依赖捕食者 - 猎物系统正周期解的存在
5. On the existence of infinite bump solutions of nonlinear Schroedinger equations with periodic potentials [D] . Thandi, Neeza. 1995

机译：具有周期性潜力的非线性施格格方程无限凸块解的存在
6. Existence Uniqueness and Asymptotic Stability of Time Periodic Traveling Waves for a Periodic Lotka-Volterra Competition System with Diffusion [O] . Guangyu Zhao, Shigui Ruan -1

机译：随着时间的连续的Lotka-Volterra竞争系统存在唯一性和渐近稳定性的存在唯一性和渐近稳定性
7. Existence and global stability of positive periodic solutions of a predator-prey system with delays [O] . Lin-lin Wang, Wan-tong Li, Pei-hao Zhao 2015

机译：具有时滞的捕食者 - 食饵系统正周期解的存在性和全局稳定性

Existence and global stability of positive periodic solutions for predator-prey system with infinite delay and diffusion

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