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The Dynamical Analysis of a Prey-Predator Model with a Refuge-Stage Structure Prey Population

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  • Raid Kamel Naji
  • Salam Jasim Majeed

Abstract

We proposed and analyzed a mathematical model dealing with two species of prey-predator system. It is assumed that the prey is a stage structure population consisting of two compartments known as immature prey and mature prey. It has a refuge capability as a defensive property against the predation. The existence, uniqueness, and boundedness of the solution of the proposed model are discussed. All the feasible equilibrium points are determined. The local and global stability analysis of them are investigated. The occurrence of local bifurcation (such as saddle node, transcritical, and pitchfork) near each of the equilibrium points is studied. Finally, numerical simulations are given to support the analytic results.

Suggested Citation

  • Raid Kamel Naji & Salam Jasim Majeed, 2016. "The Dynamical Analysis of a Prey-Predator Model with a Refuge-Stage Structure Prey Population," International Journal of Differential Equations, Hindawi, vol. 2016, pages 1-10, November.
    • Handle: RePEc:hin:jnijde:2010464
    DOI: 10.1155/2016/2010464
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    Cited by:

    1. Shoaib, Muhammad & Abbasi, Aqsa Zafar & Raja, Muhammad Asif Zahoor & Nisar, Kottakkaran Sooppy, 2022. "A design of predictive computational network for the analysis of fractional epidemical predictor-prey model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P1).
    2. Roy, Jyotirmoy & Alam, Shariful, 2020. "Fear factor in a prey–predator system in deterministic and stochastic environment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 541(C).

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