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    Deterministic and Stochastic Fractional-Order Hastings-Powell Food Chain Model

    Moustafa El-Shahed1,*, Asmaa M. Al-Dububan2

    CMC-Computers, Materials & Continua, Vol.70, No.2, pp. 2277-2296, 2022, DOI:10.32604/cmc.2022.019314

    Abstract In this paper, a deterministic and stochastic fractional-order model of the tri-trophic food chain model incorporating harvesting is proposed and analysed. The interaction between prey, middle predator and top predator population is investigated. In order to clarify the characteristics of the proposed model, the analysis of existence, uniqueness, non-negativity and boundedness of the solutions of the proposed model are examined. Some sufficient conditions that ensure the local and global stability of equilibrium points are obtained. By using stability analysis of the fractional-order system, it is proved that if the basic reproduction number , the predator free equilibrium point is globally… More >

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