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Role of constant prey refuge on stage structure predator–prey model with ratio dependent functional response

Author

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  • Khajanchi, Subhas
  • Banerjee, Sandip

Abstract

A constant prey refuge has been incorporated in a stage structured predator–prey model with ratio-dependent functional response. Sufficient conditions are obtained for the uniform persistence and global asymptotic stability, by constructing suitable Lyapunov function. Our model analysis demonstrates that the constant prey refuge plays an important role on the coexistence of stage structured predator-prey species.

Suggested Citation

  • Khajanchi, Subhas & Banerjee, Sandip, 2017. "Role of constant prey refuge on stage structure predator–prey model with ratio dependent functional response," Applied Mathematics and Computation, Elsevier, vol. 314(C), pages 193-198.
    • Handle: RePEc:eee:apmaco:v:314:y:2017:i:c:p:193-198
    DOI: 10.1016/j.amc.2017.07.017
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    Cited by:

    1. Sahoo, Banshidhar & Poria, Swarup, 2019. "Dynamics of predator–prey system with fading memory," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 319-333.
    2. Liang, Ziwei & Meng, Xinyou, 2023. "Stability and Hopf bifurcation of a multiple delayed predator–prey system with fear effect, prey refuge and Crowley–Martin function," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Liu, Yujuan & Lu, Qiong, 2020. "Hopf bifurcations in 3D competitive system with mixing exponential and rational growth rates," Applied Mathematics and Computation, Elsevier, vol. 378(C).

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