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Periodic solutions of delayed predator–prey model with the Beddington–DeAngelis functional response

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  • Huo, Hai-Feng
  • Li, Wan-Tong
  • Nieto, Juan J.

Abstract

By using the continuation theorem based on Gaines and Mawhin’s coincidence degree, sufficient and realistic conditions are obtained for the global existence of positive periodic solutions for a delayed predator–prey model with the Beddington–DeAngelis functional response. Our results are applicable to state dependent and distributed delays.

Suggested Citation

  • Huo, Hai-Feng & Li, Wan-Tong & Nieto, Juan J., 2007. "Periodic solutions of delayed predator–prey model with the Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 33(2), pages 505-512.
    • Handle: RePEc:eee:chsofr:v:33:y:2007:i:2:p:505-512
    DOI: 10.1016/j.chaos.2005.12.045
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    Cited by:

    1. Hu, Guang-Ping & Li, Wan-Tong & Yan, Xiang-Ping, 2009. "Hopf bifurcations in a predator–prey system with multiple delays," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1273-1285.
    2. Arenas, Abraham J. & González-Parra, Gilberto & Jódar, Lucas, 2009. "Periodic solutions of nonautonomous differential systems modeling obesity population," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1234-1244.
    3. Zhang, Jia-Fang & Chen, Heshan, 2014. "Global asymptotic behavior in a Lotka–Volterra competition system with spatio-temporal delays," Chaos, Solitons & Fractals, Elsevier, vol. 61(C), pages 69-75.
    4. Cai, Liming & Li, Xuezhi & Yu, Jingyuan & Zhu, Guangtian, 2009. "Dynamics of a nonautonomous predator–prey dispersion–delay system with Beddington–DeAngelis functional response," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 2064-2075.

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