عنوان
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A numerical study of fractional order population dynamics model
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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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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چکیده
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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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پژوهشگران
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یوپی لو (نفر چهارم)، نولوازی شارون کومو (نفر سوم)، رقیه معلم گنجی (نفر دوم)، حسین جعفری (نفر اول)
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