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Pattern dynamics in a vegetation model with time delay

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  • Xie, Bo-li

Abstract

A vegetation model with both cross diffusion and time delay is considered. Based upon a stability analysis, we demonstrate that the delay affects the stability and spatial patterns under some conditions. In addition, through numerical simulations, we obtain different spatial patterns, including spot patterns and stripe-like patterns. These results may help us better understand the dynamics of a vegetation model with time delay.

Suggested Citation

  • Xie, Bo-li, 2016. "Pattern dynamics in a vegetation model with time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 460-466.
    • Handle: RePEc:eee:phsmap:v:443:y:2016:i:c:p:460-466
    DOI: 10.1016/j.physa.2015.09.075
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