A fractional calculus approach to Rosenzweig-MacArthur predator-prey\n model and its solution

2019/06/04 by Shuvojit Mondal, Mondal, Shuvojit, Nandadulal Bairagi +3
Mathematics · Medicine · #26A33 #34A08 #Differential Equations and Numerical Methods #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1906.01192

openalex publication_date 2019/06/04 · openalex created_date 2022/09/11 · openalex updated_date 2026/07/28

Abstract

In this paper we present analytical solution of a fractional order\npredator-prey model, where prey grows logistically and predation occurs\nfollowing type II response function, by homotopy perturbation method. Numerical\nsolutions are presented to illustrate different particular cases. Our\ncomputational results show that accurate solution may be obtained with few\niterations.\n

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