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

Zerong He; Haitao Wang

doi:10.11948/2013025

2013 Volume 3 Issue 4

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Zerong He, Haitao Wang. WELL-POSEDNESS ANALYSIS FOR A SIZE-STRUCTURED MODEL OF SPECIES IN A SPACE-LIMITED HABITAT[J]. Journal of Applied Analysis & Computation, 2013, 3(4): 335-342. doi: 10.11948/2013025

Citation:

Zerong He, Haitao Wang. WELL-POSEDNESS ANALYSIS FOR A SIZE-STRUCTURED MODEL OF SPECIES IN A SPACE-LIMITED HABITAT[J]. Journal of Applied Analysis & Computation, 2013, 3(4): 335-342. doi: 10.11948/2013025

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

Institute of Operational Research and Cybernetics, Hangzhou Dianzi University, Hangzhou 310018, China

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Abstract

Abstract

We present a size-structured population model to describe marine invertebrates whose life stage is composed of sessile adults and pelagic larvae. The model is a nonlinear coupled system of size distribution of adults and the abundance of larvae. The existence and uniqueness of non-negative solutions to the model are proved by 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.
- Space-limitation /
- size-structure /
- non-densely defined operator /
- basic reproduction number
MSC: 92D05;47D06;35B35

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References

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