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Global Positive Periodic Solutions for Periodic Two‐Species Competitive Systems with Multiple Delays and Impulses

Author

Listed:
  • Zhenguo Luo
  • Liping Luo
  • Liu Yang
  • Yunhui Zeng

Abstract

A set of easily verifiable sufficient conditions are derived to guarantee the existence and the global stability of positive periodic solutions for two‐species competitive systems with multiple delays and impulses, by applying some new analysis techniques. This improves and extends a series of the well‐known sufficiency theorems in the literature about the problems mentioned previously.

Suggested Citation

  • Zhenguo Luo & Liping Luo & Liu Yang & Yunhui Zeng, 2014. "Global Positive Periodic Solutions for Periodic Two‐Species Competitive Systems with Multiple Delays and Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
  • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:785653
    DOI: 10.1155/2014/785653
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    References listed on IDEAS

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    1. Zhenguo Luo & Liping Luo & Yunhui Zeng, 2014. "Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-17, January.
    2. Zhenguo Luo & Liping Luo & Yunhui Zeng, 2014. "Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
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    1. Zhenguo Luo, 2014. "Multiple Positive Periodic Solutions for Functional Differential Equations with Impulses and a Parameter," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Zhenguo Luo, 2014. "Multiple Positive Periodic Solutions for Two Kinds of Higher-Dimension Impulsive Differential Equations with Multiple Delays and Two Parameters," Journal of Mathematics, Hindawi, vol. 2014, pages 1-13, April.

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