Analysis of the periodically fragmented environment model : I – Species persistence View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2005-07

AUTHORS

Henri Berestycki, François Hamel, Lionel Roques

ABSTRACT

This paper is concerned with the study of the stationary solutions of the equation [Equation: see text] where the diffusion matrix A and the reaction term f are periodic in x. We prove existence and uniqueness results for the stationary equation and we then analyze the behaviour of the solutions of the evolution equation for large times. These results are expressed by a condition on the sign of the first eigenvalue of the associated linearized problem with periodicity condition. We explain the biological motivation and we also interpret the results in terms of species persistence in periodic environment. The effects of various aspects of heterogeneities, such as environmental fragmentation are also discussed. More... »

PAGES

75-113

References to SciGraph publications

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  • 1979-10. Spatial patterning of the spruce budworm in JOURNAL OF MATHEMATICAL BIOLOGY
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  • 1992-09. Existence of planar flame fronts in convective-diffusive periodic media in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1983-11. Minimum domains for spatial patterns in a class of reaction diffusion equations in JOURNAL OF MATHEMATICAL BIOLOGY
  • 1986-09. On the isoperimetric nature of a rearrangement inequality and its consequences for some variational problems in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 2001-12. The evolution of dispersal rates in a heterogeneous time-periodic environment in JOURNAL OF MATHEMATICAL BIOLOGY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00285-004-0313-3

    DOI

    http://dx.doi.org/10.1007/s00285-004-0313-3

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1043375645

    PUBMED

    https://www.ncbi.nlm.nih.gov/pubmed/15868203


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