The model we study deals with a population of marine invertebrates structured by size whose life stage is composed of adults and pelagic larvae such as barnacles contained in a local habitat. We prove existence and uniqueness of a continuous positive global mild solution and we give an estimate of it. We prove also that this solution is the strong solution of the problem.

中文翻译：

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按大小构建的人口非线性模型分析

我们研究的模型处理由大小构成的海洋无脊椎动物种群，其生命阶段由成虫和远洋幼虫（如本地栖息地中的藤壶）组成。我们证明了连续正全局温和解的存在性和唯一性，并对其进行了估计。我们也证明了这个解是问题的强解。