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Mathematical Biosciences and Engineering

2015, Volume 12, Issue 2: 291-310. doi: 10.3934/mbe.2015.12.291
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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
  • Published: 01 December 2014

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

  • 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.

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

    Related Papers:

  • 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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  • © 2015 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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