Global stability of a Leslie-Gower-type fractional order tritrophic food\n chain model

2019/05/27 by Shuvojit Mondal, Mondal, Shuvojit, Nandadulal Bairagi +3
Mathematics · Medicine · #26A33 #34A08 #34K37 #44AXX #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1905.11035

openalex publication_date 2019/05/27 · openalex created_date 2022/07/23 · openalex updated_date 2026/07/28

Abstract

Recently, the dynamical behaviors of a fractional order three species food\nchain model was studied by Alidousti and Ghahfarokhi ( it Nonlinear Dynamics,\ndoi: org/10.1007/s11071-018-4663-6, 2018). They proved both the local and\nglobal asymptotic stability of all equilibrium points except the interior one.\nThis work extends their work and gives proof of both the local and global\nstability analysis of the interior equilibrium point. Numerical examples are\nalso provided to substantiate the analytical findings.\n

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