Pattern Dynamics in a Predator-Prey Model with Diffusion Network

Wenjie Yang, Qianqian Zheng, Jianwei Shen, Qing Hu and Eberhard O. Voit

Complexity, 2022, vol. 2022, 1-8

Abstract: Diffusion plays an essential role in the distribution of predator and prey. We mainly research the diffusion network’s effect on the predator-prey model through bifurcation. First, it is found that the link probability and diffusion parameter can cause Turing instability in the network-organized predator-prey model. Then, the Turing stability region is obtained according to the sufficient condition of Turing instability and the eigenvalues’ distribution. Finally, the biological mechanism is explained through our theoretical results, which are also illustrated by numerical simulation.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:9055480

DOI: 10.1155/2022/9055480

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