Spatial dynamics of a fractional predator-prey system with time delay and Allee effect

Zhimin Bi, Shutang Liu and Miao Ouyang

Chaos, Solitons & Fractals, 2022, vol. 162, issue C

Abstract: In this paper, we investigate the spatial dynamics of a class of spatial fractional predator-prey systems with time delay and Allee effect. Firstly, Hopf bifurcation and Turing bifurcation conditions are obtained by using stability theory and bifurcation theory. Then, the abundant dynamic behaviors of the system are demonstrated by numerical simulation. Finally, numerical results show that time delay, Allee effect, and fractional diffusion can affect the formation 3D Turing patterns such as spherical, tube, spherical and tube coexisting and the constitution of 3D spiral wave patterns.

Keywords: Delay; Allee effect; Fractional diffusion; Turing bifurcation; 3D; Predator-prey system (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006440

DOI: 10.1016/j.chaos.2022.112434

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