Effect of spatial patterns on population size

Dong Li, M.C. Cross and Zhigang Zheng

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 23, 6016-6023

Abstract: 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.

Keywords: Population size; Spatial pattern; Temporal dynamics (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:23:p:6016-6023

DOI: 10.1016/j.physa.2012.07.038

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