Computational study of multi-species fractional reaction-diffusion system with ABC operator

Kolade M. Owolabi and Abdon Atangana

Chaos, Solitons & Fractals, 2019, vol. 128, issue C, 280-289

Abstract: In this paper, a competition model which describes the spatial interaction among three species in nonlinear fashion is considered. In the model, the standard time derivative is replaced with the Atangana-Baleanu fractional operator in the sense of Caputo. Linear stability analysis which serves as a guide in the choice of parameters when numerically simulating the full system is also examined. The existence and uniqueness of solutions are studied via a fixed point theorem. Different numerical approximation techniques are introduced. Numerical results presented in one and two dimensions revealed some spatiotemporal Turing patterns such as stripes and spots.

Keywords: Fourier spectral method; Fractional reaction-diffusion; Spatiotemporal oscillations; Predator-prey dynamics; Stability analysis (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:128:y:2019:i:c:p:280-289

DOI: 10.1016/j.chaos.2019.07.050

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