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Effect of spatial patterns on population size


  • Li, Dong
  • Cross, M.C.
  • Zheng, Zhigang


We investigate the role of the spatial pattern and temporal dynamics on the population properties of a diffusive Gause–Lotka–Volterra system. The average total population size is insensitive to the temporal dynamics, whereas a significant decrease of the population size can be found as the spatial diffusion effect is increased, implying that the spatial pattern plays an important role. At large diffusion coefficients, a saturation of the spatial pattern variation is observed, which can be understood by a spatial scaling analysis of the system. The existence of multiple attractors can also indicate that spatial patterns play a more important role than temporal dynamics in dominating the population size.

Suggested Citation

  • Li, Dong & Cross, M.C. & Zheng, Zhigang, 2012. "Effect of spatial patterns on population size," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6016-6023.
  • Handle: RePEc:eee:phsmap:v:391:y:2012:i:23:p:6016-6023
    DOI: 10.1016/j.physa.2012.07.038

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    Cited by:

    1. Shafiei, Ehsan & Davidsdottir, Brynhildur & Leaver, Jonathan & Stefansson, Hlynur & Asgeirsson, Eyjolfur Ingi, 2014. "Potential impact of transition to a low-carbon transport system in Iceland," Energy Policy, Elsevier, vol. 69(C), pages 127-142.


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