Mathematical Biosciences and Engineering, 2015, 12(2): 291-310. doi: 10.3934/mbe.2015.12.291.

Primary: 91A22, 34G20, 37C25, 92D25.

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Basic stage structure measure valued evolutionary game model

1. University of Wisconsin-Richland, 1200 Hwy 14 West, Richland Center, WI 53581-1399

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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Keywords continuous dependence; well-posedness; Evolutionary game models; stage structure.; selection-mutation; juvenile adult; space of finite signed measure

Citation: John Cleveland. Basic stage structure measure valued evolutionary game model. Mathematical Biosciences and Engineering, 2015, 12(2): 291-310. doi: 10.3934/mbe.2015.12.291

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