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Title
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A numerical study of fractional order population dynamics model
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Type
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JournalPaper
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Keywords
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Caputo-Fabrizio derivative, Fractional predator-prey model, Fractional logistic model, Three-step Adams-Bashforth scheme, Numerical simulations
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Abstract
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In this paper, the population dynamics model including the predator-prey problem and the logistic equation are generalized by using fractional operator in term of Caputo-Fabrizio derivative (CF-derivative). The models under study include of fractional Lotka-Volterra model (FLVM), fractional predator-prey model (FPPM) and fractional logistic model of population growth (FLM-PG) with variable coefficients. After that a numerical scheme is presented to obtain numerical solutions of these fractional models. These solutions are made using three-step Adams-Bashforth scheme. To show the efficiency and the accuracy of the present scheme, a few examples are evaluated. The numerical simulations of the results are depicted the accuracy of the present scheme.
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Researchers
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Yu-Pei Lv (Fourth Researcher), N.S. Nkomo (Third Researcher), Roghayeh Moallem Ganji (Second Researcher), Hossein Jafari (First Researcher)
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