2020 DOI: 10.20944/preprints202008.0412.v1 View full text Preprint
Daniel Cassidi Bitang A Ziem, Carlos Lawrence Gninzanlong, Conrad Bertrand Tabi, Timoléon Crépin Kofane

Abstract: Motivated by the fact that the restrictive conditions for a Turing instability are relaxed in sub- diffusive regime, we investigate the effects of subdiffu- sion in the predator−prey model with toxins under the homogeneous Neumann boundary condition. First, the stability analysis of the corresponding ordinary differ- ential equation is carried out. From this analysis, it fol- lows that stability is closely related to the coefficient of toxicity. In addition, the temporal fractional derivative does no…

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