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Spatial segregation in competitive interaction-diffusion equations

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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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Mimura, M., Kawasaki, K. Spatial segregation in competitive interaction-diffusion equations. J. Math. Biology 9, 49–64 (1980).

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