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Spatiotemporal dynamics of a predator–prey model

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Abstract

Spatial component of ecological interactions has been identified as an important factor in how ecological communities are shaped. In this paper, we consider a Holling–Tanner model with spatial diffusion. Choosing appropriate parameter values in parameter spaces, we obtain rich patterns, including spotted, black-eye, and labyrinthine patterns. The numerical results show that predator–prey system can exhibit complicated behavior.

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Authors and Affiliations

  1. Department of Mathematics, North University of China, Taiyuan, 030051, Shanxi, China

    Pan-Ping Liu

  2. School of Material Science and Engineering, North University of China, 030051, Taiyuan, China

    Yong Xue

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  1. Pan-Ping Liu
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  2. Yong Xue
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Correspondence to Yong Xue.

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Liu, PP., Xue, Y. Spatiotemporal dynamics of a predator–prey model. Nonlinear Dyn 69, 71–77 (2012). https://doi.org/10.1007/s11071-011-0246-5

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  • DOI: https://doi.org/10.1007/s11071-011-0246-5

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