WELL-POSEDNESS ANALYSIS FOR A SIZE-STRUCTURED MODEL OF SPECIES IN A SPACE-LIMITED HABITAT | Zendy

Ze-Rong He | Zendy; Haitao Wang | Zendy

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WELL-POSEDNESS ANALYSIS FOR A SIZE-STRUCTURED MODEL OF SPECIES IN A SPACE-LIMITED HABITAT

Author(s) -

Ze-Rong He,

Haitao Wang

Publication year - 2013

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2013025

Subject(s) - pelagic zone , uniqueness , marine invertebrates , abundance (ecology) , mathematics , nonlinear system , population model , ecology , habitat , population , mathematical analysis , biology , physics , demography , quantum mechanics , sociology

We present a size-structured population model to describe marineinvertebrates whose life stage is composed of sessile adults andpelagic larvae. The model is a nonlinear coupled system of sizedistribution of adults and the abundance of larvae. The existenceand uniqueness of non-negative solutions to the model are provedby means of the theory of non-densely defined operators, which lays a solid foundation for the investigation of other problems such as stability and control.

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