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Analysis of a spatial predator-prey model with delay

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Abstract

In this paper, we present a Holling–Tanner model combined with diffusion and time delay. We found that, when time delay is small, there is no the synchronization of prey and the predator. However, when it is larger, there is antiphase synchronization. Furthermore, a transition from anti-phase synchronization to in-phase synchronization emerges as time delay further increases. Since synchronization of populations could lead them to be extinct, the results obtained may indicate that time delay plays an important role on the persistence of the populations.

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Authors and Affiliations

  1. Key Laboratory for AMT Shanxi, North University of China, Taiyuan, 030051, China

    Biao Wang, Ai-Ling Wang, Yong-Jiang Liu & Zhao-Hua Liu

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  1. Biao Wang
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  2. Ai-Ling Wang
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  4. Zhao-Hua Liu
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Correspondence to Yong-Jiang Liu.

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Wang, B., Wang, AL., Liu, YJ. et al. Analysis of a spatial predator-prey model with delay. Nonlinear Dyn 62, 601–608 (2010). https://doi.org/10.1007/s11071-010-9747-x

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  • DOI: https://doi.org/10.1007/s11071-010-9747-x

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