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Pattern dynamics of a spatial predator–prey model with noise

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Abstract

A spatial predator–prey model with colored noise is investigated in this paper. We find that the number of the spotted pattern is increased as the noise intensity is increased. When the noise intensity and temporal correlation are in appropriate levels, the model exhibits phase transition from spotted to stripe pattern. Moreover, we show the number of the spotted and stripe pattern, with respect to both noise intensity and temporal correlation. These studies raise important questions on the role of noise in the pattern formation of the populations, which may well explain some data obtained in the ecosystems.

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Authors and Affiliations

  1. Department of Mathematics, North University of China, Taiyuan, 030051, People’s Republic of China

    Li Li & Zhen Jin

  2. Department of Mathematics, Taiyuan Institute of Technology, Taiyuan, 030008, People’s Republic of China

    Li Li

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  1. Li Li
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  2. Zhen Jin
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Correspondence to Li Li.

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Li, L., Jin, Z. Pattern dynamics of a spatial predator–prey model with noise. Nonlinear Dyn 67, 1737–1744 (2012). https://doi.org/10.1007/s11071-011-0101-8

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  • DOI: https://doi.org/10.1007/s11071-011-0101-8

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