Effect of spatial patterns on population size |
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Authors: | Dong Li M.C. Cross Zhigang Zheng |
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Affiliation: | 1. Department of Physics and the Beijing–Hong Kong–Singapore Joint Center for Nonlinear and Complex Systems (Beijing), Beijing Normal University, Beijing 100875, China;2. Department of Physics, California Institute of Technology, Pasadena, CA 91125, USA |
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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. |
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Keywords: | Population size Spatial pattern Temporal dynamics |
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