Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments

Xu R; Chaplain MAJ; Davidson FA

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Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments

机译：两补丁环境下食饵扩散的时滞捕食模型的周期解

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摘要

A delayed periodic Lotka-Volterra type predator-prey model with prey dispersal in two-patch environments is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by means of a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are obtained to guarantee the existence, uniqueness and global stability of positive periodic solutions of the system. Numerical simulations are given to illustrate the feasibility of our main results. (C) 2003 Elsevier Ltd. All rights reserved.

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《Nonlinear analysis. Real world applications》 |2004年第1期|共24页
作者
Xu R; Chaplain MAJ; Davidson FA;
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正文语种 eng
中图分类数学分析;
关键词
dispersion; time delay; periodic solution; persistence; global stability; GLOBAL STABILITY; TIME-DELAY; POPULATION INTERACTIONS; ASYMPTOTIC-BEHAVIOR; MATHEMATICAL-MODELS; DIFFUSION-SYSTEMS; TROPHIC LEVELS; PATCH-SYSTEM; 2 HABITATS; PERSISTENCE;

机译：色散;时间延迟;周期解;持久性;全局稳定性;全局稳定性;时间延迟;人口相互作用;渐近行为;数学模型;扩散系统;营养级;配色系统;2种稳定性;持久性;

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1. Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments [J] . Xu R, Chaplain MAJ, Davidson FA Nonlinear analysis. Real world applications . 2004,第1期

机译：两补丁环境下食饵扩散的时滞捕食模型的周期解
2. Stability and bifurcation analysis of a delayed predator-prey model of prey dispersal in two-patch environments [J] . Xu C., Tang X., Liao M. Applied mathematics and computation . 2010,第10期

机译：两种群环境下食饵扩散的时滞捕食模型的稳定性和分支分析
3. Permanence for a delayed predator-prey model of prey dispersal in two-patch environments [J] . Chen L. Journal of Applied Mathematics and Computing . 2010,第1a2期

机译：两种种群环境下食饵扩散的时滞捕食模型的持久性
4. Permanence of a Delayed Ratio-dependent Predator-prey Model with Prey Dispersal [C] . ZUJUE CHEN, XING LUO, ZHIXIONG ZHANG Conference of Biomathematics . 2008

机译：具食饵扩散的比率型时滞捕食模型的持久性。
5. Predator-prey models with delays and prey harvesting [D] . Martin, Annik. 1999

机译：具有延迟和猎物收获的捕食者—食饵模型
6. Multiple periodic solutions of a delayed predator–prey model with non-monotonic functional response and stage structure [O] . Yingyuan Liu, Xiaolan Zhang, Tiejun Zhou -1

机译：具有非单调功能响应和阶段结构的时滞捕食模型的多个周期解
7. PERIODIC SOLUTIONS OF A TWO-SPECIES RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME DELAY IN A TWO-PATCH ENVIRONMENT [O] . Zhengqiu Zhang, Zhicheng Wang 2002

机译：两个物种环境中具有时滞的两种比率相关捕食者 - 食饵系统的周期解

Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments

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