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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.

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