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Spatial segregation in competitive interaction-diffusion equations

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Summary

The effect of cross-population pressure on the Volterra type dynamics for two competing species is investigated. On the basis of cross-diffusion induced instability, spatial segregation is studied. Spatially discrete models are also discussed. It is shown that this effect has a tendency to enhance the stability assuring coexistence of species. In continuous and discrete cases, time-dependent segregation processes are studied numerically.

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Authors and Affiliations

  1. Department of Applied Mathematics, Konan University, 658, Kobe, Japan

    Masayasu Mimura

  2. Department of Biophysics, Kyoto University, 606, Kyoto, Japan

    Kohkichi Kawasaki

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  1. Masayasu Mimura
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  2. Kohkichi Kawasaki
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Mimura, M., Kawasaki, K. Spatial segregation in competitive interaction-diffusion equations. J. Math. Biology 9, 49–64 (1980). https://doi.org/10.1007/BF00276035

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  • DOI: https://doi.org/10.1007/BF00276035

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