Global attractivity of a positive periodic solution for a nonautonomous stage structured population dynamics with time delay and diffusion

Zhang ZQ; Wang L

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Global attractivity of a positive periodic solution for a nonautonomous stage structured population dynamics with time delay and diffusion

机译：具有时滞和扩散的非自治阶段结构种群动力学正周期解的全局吸引性。

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摘要

By employing the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a nonautonomous stage structured population dynamics with time delay and diffusion is established. Further, by constructing a Lyapunov functional and using the result of the existence of positive periodic solution, the attractivity of a positive periodic solution for above system is obtained. (c) 2006 Elsevier Inc. All rights reserved.

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《Journal of Mathematical Analysis and Applications》 |2006年第1期|共17页
作者
Zhang ZQ; Wang L;
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正文语种 eng
中图分类数学;
关键词
time delay; stage-structures; diffusion; positive periodic solutions; Lyapunov functional; the continuation theorem of coincidence degree theory; PREDATOR-PREY SYSTEM; MODEL;

机译：时滞;阶段结构;扩散;正周期解;Lyapunov泛函;重合度理论的连续定理;PREDATOR-PREY系统;模型;

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专利

1. Global attractivity of a positive periodic solution for a nonautonomous stage structured population dynamics with time delay and diffusion [J] . Zhang ZQ, Wang L Journal of Mathematical Analysis and Applications . 2006,第1期

机译：具有时滞和扩散的非自治阶段结构种群动力学正周期解的全局吸引性。
2. PERMANENCE, PERIODIC AND ALMOST PERIODIC SOLUTIONS OF NONAUTONOMOUS STAGE STRUCTURED POPULATION DYNAMICS WITH TIME DELAY AND DIFFUSION [J] . Li Fengjie, Luo Guilie, Liu Bingchen Annals of Differential Equations . 2003,第4期

机译：具有时间延迟和扩散的非自治阶段结构种群动力学的持久性，周期和几乎周期解
3. PERMANENCE, PERIODIC AND ALMOST PERIODIC SOLUTIONS OF NONAUTONOMOUS STAGE STRUCTURED POPULATION DYNAMICS WITH TIME DELAY AND DIFFUSION [J] . 李锋杰, 罗桂烈, 刘丙辰微分方程年刊：英文版 . 2003,第004期

机译：具有时间延迟和扩散的非自治阶段结构群体动态的永久性，周期性和几乎定期的解决方案
4. Existence and Global Attractivity of Almost Periodic Solution of Hopfield Neural Networks with Time Delays [C] . Meng Yanshuang Computational Intelligence and Security (CIS), 2011 Seventh International Conference on . 2011

机译：时滞Hopfield神经网络概周期解的存在性和全局吸引性。
5. Competitive dynamics in size-structured populations with reproductive delays. [D] . Garcia-Alvarado, Martin Gildardo. 1998

机译：具有生殖延迟的规模结构人口的竞争动态。
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. Global attractivity of a positive periodic solution for a nonautonomous stage structured population dynamics with time delay and diffusion [O] . Zhang Zhengqiu, Wang Li 2006

机译：具有时滞和扩散的非自治阶段结构种群动力学正周期解的全局吸引性。

Global attractivity of a positive periodic solution for a nonautonomous stage structured population dynamics with time delay and diffusion

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