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Stability in a predator–prey model with Crowley–Martin function and stage structure for prey

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  • Meng, Xin-You
  • Huo, Hai-Feng
  • Xiang, Hong
  • Yin, Qi-yu

Abstract

This paper is concerned with a stage-structured predator–prey system with Crowley–Martin functional response. By analyzing the characteristic equation, the local stability of the equilibria is investigated. The persistence of system and global asymptotic stability of the positive equilibrium are carried out. Finally, several numerical simulations to illustrate the theoretical analysis are also given.

Suggested Citation

  • Meng, Xin-You & Huo, Hai-Feng & Xiang, Hong & Yin, Qi-yu, 2014. "Stability in a predator–prey model with Crowley–Martin function and stage structure for prey," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 810-819.
    • Handle: RePEc:eee:apmaco:v:232:y:2014:i:c:p:810-819
    DOI: 10.1016/j.amc.2014.01.139
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    References listed on IDEAS

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    1. Upadhyay, Ranjit Kumar & Naji, Raid Kamel, 2009. "Dynamics of a three species food chain model with Crowley–Martin type functional response," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1337-1346.
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    Cited by:

    1. Jaouad Danane & Delfim F. M. Torres, 2023. "Three-Species Predator–Prey Stochastic Delayed Model Driven by Lévy Jumps and with Cooperation among Prey Species," Mathematics, MDPI, vol. 11(7), pages 1-22, March.
    2. Narayan Mondal & Dipesh Barman & Shariful Alam, 2021. "Impact of adult predator incited fear in a stage-structured prey–predator model," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(6), pages 9280-9307, June.
    3. Qi, Haokun & Liu, Bing & Li, Shi, 2024. "Stability, bifurcation, and chaos of a stage-structured predator-prey model under fear-induced and delay," Applied Mathematics and Computation, Elsevier, vol. 476(C).
    4. Zhang, Shengqiang & Yuan, Sanling & Zhang, Tonghua, 2022. "A predator-prey model with different response functions to juvenile and adult prey in deterministic and stochastic environments," Applied Mathematics and Computation, Elsevier, vol. 413(C).

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