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Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms

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  • Yongzhi Liao
  • Yongkun Li
  • Xiaoyan Dou

Abstract

By applying Mawhin’s continuation theorem of coincidence degree theory, we study the existence of multiple positive periodic solutions for a Gilpin-Ayala competition predator-prey system with harvesting terms and obtain some sufficient conditions for the existence of multiple positive periodic solutions for the system under consideration. The result of this paper is completely new. An example is employed to illustrate our result.

Suggested Citation

  • Yongzhi Liao & Yongkun Li & Xiaoyan Dou, 2012. "Multiple Positive Periodic Solutions for a Gilpin-Ayala Competition Predator-Prey System with Harvesting Terms," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, June.
    • Handle: RePEc:hin:jnlaaa:427264
    DOI: 10.1155/2012/427264
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    Cited by:

    1. Manel Amdouni & Jehad Alzabut & Mohammad Esmael Samei & Weerawat Sudsutad & Chatthai Thaiprayoon, 2022. "A Generalized Approach of the Gilpin–Ayala Model with Fractional Derivatives under Numerical Simulation," Mathematics, MDPI, vol. 10(19), pages 1-18, October.

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