A numerical study of fractional order population dynamics model

By H. Jafari, Roghayeh Moallem Ganji, N. Nkomo, Y. Lv. Results in Physics, 2021

64 citations recorded by the source corpus.

Abstract In this research, 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.

Subfields: Control and Systems Engineering, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/edbfbbeff81fb88e2410bc8f2f6c5442654c0cb5