具有扩散和时滞的捕食系统的持续生存

崔景安

数学学报 ›› 2005, Vol. 48 ›› Issue (3) : 479-488.

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PDF(394 KB)
数学学报 ›› 2005, Vol. 48 ›› Issue (3) : 479-488. DOI: 10.12386/A2005sxxb0057
论文

具有扩散和时滞的捕食系统的持续生存

    崔景安
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Permanence of Predator-Prey System with Dispersal and Time Delay

    Jing An CUI
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摘要

本文研究具有一般功能性反应和时滞的周期捕食系统的持续生存和周期解,得到了系统永久持续生存的充要条件.在此条件下系统存在正的ω周期解,改进了一些已知结果.

Abstract

This paper considers the permanence and periodic solution of a periodic predator-prey system with predator functional response and time delay; a sufficient and necessary condition is obtained for the permanence of this system. The system has a positive ω periodic solution under this condition; we improve some known results.

关键词

持久性 / 时滞 / 功能反应

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崔景安. 具有扩散和时滞的捕食系统的持续生存. 数学学报, 2005, 48(3): 479-488 https://doi.org/10.12386/A2005sxxb0057
Jing An CUI. Permanence of Predator-Prey System with Dispersal and Time Delay. Acta Mathematica Sinica, Chinese Series, 2005, 48(3): 479-488 https://doi.org/10.12386/A2005sxxb0057
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