A numerical study of fractional order population dynamics model

• Published in: Results in physics Vol. 27; p. 104456
• Main Authors: Jafari, H., Ganji, R.M., Nkomo, N.S., Lv, Y.P.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.08.2021; Elsevier
• Subjects: Caputo-Fabrizio derivative; Fractional logistic model; Fractional predator-prey model; Numerical simulations; Three-step Adams-Bashforth scheme; Caputo-Fabrizio derivative; Fractional predator-prey model; Numerical simulations; Three-step Adams-Bashforth scheme; Fractional logistic model
• ISSN: 2211-3797; 2211-3797
• DOI: 10.1016/j.rinp.2021.104456

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.