Bistability and Turing pattern induced by cross fraction diffusion in a predator–prey model

Shao-Wen Yao, Zhan-Ping Ma and Jia-Long Yue

Physica A: Statistical Mechanics and its Applications, 2018, vol. 509, issue C, 982-988

Abstract: In this work, we study a diffusive predator–prey model with mutual interference among the predators while searching for food. We prove that the model exhibits bistability, which indicates that there is no patterns for our model. When proper cross fractional diffusion terms are introduced in the model, the Turing pattern emerges when cross fractional diffusion coefficients fall into some domain.

Keywords: Predator–prey; Global asymptotic stability; Pattern formation; Fractional diffusion (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:509:y:2018:i:c:p:982-988

DOI: 10.1016/j.physa.2018.06.072

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