Basic stage structure measure valued evolutionary game model | Zendy

John D. Cleveland | Zendy

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Basic stage structure measure valued evolutionary game model

Author(s) -

John D. Cleveland

Publication year - 2015

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2015.12.291

Subject(s) - measure (data warehouse) , stage (stratigraphy) , mathematics , state space , computer science , mathematical economics , biology , statistics , paleontology , database

The ideas and techniques developed in [12,3] are extended to a basic stage structured model. Each strategy consists of two stages: a Juvenile (L for larvae), and Adult (A). A general model of this basic stage structure is formulated as a dynamical system on the state space of finite signed measures. Nonnegativity, well-posedness and uniform eventual boundedness are established under biologically natural conditions on the rates. Similar to [12] we also have the unifying of discrete and continuous systems and the containment of the classic nonlinearities.

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