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Traveling waves for some biological systems with density dependent diffusion

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Abstract

In this paper, we shall investigate the existence problem of traveling wave front solutions for some biological systems with density dependent diffusion by the classical and the geometric singular perturbation approaches. With the aid of traveling wave solutions, we discuss the effect of density dependent dispersal in the two competing species models and the prey-predator model.

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Authors and Affiliations

  1. Institute of Computer Sciences, Kyoto Sangyo University, 603, Kyoto, Japan

    Yuzo Hosono

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  1. Yuzo Hosono
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Hosono, Y. Traveling waves for some biological systems with density dependent diffusion. Japan J. Appl. Math. 4, 297 (1987). https://doi.org/10.1007/BF03167778

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  • DOI: https://doi.org/10.1007/BF03167778

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