Abstract
AbstractIn this paper, we introduce a class of stochastic age-dependent population dynamic system. Applying the theory of stochastic functional differential equation, using Gronwall’s lemma and Barkholder-Davis-Gundy’s lemma, Existence and uniqueness of strong solution are proved for a class of stochastic age-dependent population dynamic system on Hilbert space. In particular, as a direct consequence our main results extend some of those from ordinary age-dependent population dynamic system.KeywordsStrong SolutionCovariance OperatorPopulation SystemTopological PressureGlobal Strong SolutionThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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