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Degenerate parabolic Problems in population dynamics

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Abstract

We investigate the coexistence of prey-predator or competing species, subject to density dependent diffusion in an inhomogeneous habitat. It is proven that coexistence arises in suitable domains, where favourable conditions are satisfied. Support properties and attractivity of the resulting stationary solutions are investigated.

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Authors and Affiliations

  1. Dipartimento di Matematica, II Università di Roma, V. Orazio Raimondo, 1-00173, Roma, Italy

    Maria Assunta Pozio & Alberto Tesei

Authors
  1. Maria Assunta Pozio
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  2. Alberto Tesei
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Partly supported by CNR-JSPS joint research program, CNR grant no. 8300032.01.

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Pozio, M.A., Tesei, A. Degenerate parabolic Problems in population dynamics. Japan J. Appl. Math. 2, 351–380 (1985). https://doi.org/10.1007/BF03167082

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  • DOI: https://doi.org/10.1007/BF03167082

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