An age-structured two-sex model in the space of radon measures: Well posedness | Zendy

Agnieszka Ulikowska | Zendy

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An age-structured two-sex model in the space of radon measures: Well posedness

Author(s) -

Agnieszka Ulikowska

Publication year - 2012

Publication title -

kinetic and related models

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.987

H-Index - 28

eISSN - 1937-5093

pISSN - 1937-5077

DOI - 10.3934/krm.2012.5.873

Subject(s) - uniqueness , radon measure , lipschitz continuity , mathematics , regularization (linguistics) , nonlinear system , measure (data warehouse) , population , radon , metric space , function (biology) , stability (learning theory) , space (punctuation) , metric (unit) , function space , mathematical analysis , computer science , pure mathematics , locally compact space , physics , demography , operations management , quantum mechanics , database , artificial intelligence , evolutionary biology , sociology , machine learning , economics , biology , operating system

In the following paper a well-posedness of an age-structured two-sex population model in a space of Radon measures equipped with a flat metric is presented. Existence and uniqueness of measure valued solutions is proved by a regularization technique. This approach allows to obtain Lipschitz continuity of solutions with respect to time and stability estimates. Moreover, a brief discussion on a marriage function, which is the main source of a nonlinearity, is carried out and an example of the marriage function fitting into this framework is given.

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