Basic stage structure measure valued evolutionary game model
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....
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| Format: | Article |
| Language: | English |
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AIMS Press
2014-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.291 |
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| author | John Cleveland |
| author_facet | John Cleveland |
| author_sort | John Cleveland |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-55bbafc0afa74eb9a53ea14f46aa62e7 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2014-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-55bbafc0afa74eb9a53ea14f46aa62e72025-01-24T02:31:45ZengAIMS PressMathematical Biosciences and Engineering1551-00182014-11-0112229131010.3934/mbe.2015.12.291Basic stage structure measure valued evolutionary game modelJohn Cleveland0University of Wisconsin-Richland, 1200 Hwy 14 West, Richland Center, WI 53581-1399The 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.https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.291continuous dependencewell-posednessevolutionary game modelsstage structure.selection-mutationjuvenile adultspace of finite signed measure |
| spellingShingle | John Cleveland Basic stage structure measure valued evolutionary game model Mathematical Biosciences and Engineering continuous dependence well-posedness evolutionary game models stage structure. selection-mutation juvenile adult space of finite signed measure |
| title | Basic stage structure measure valued evolutionary game model |
| title_full | Basic stage structure measure valued evolutionary game model |
| title_fullStr | Basic stage structure measure valued evolutionary game model |
| title_full_unstemmed | Basic stage structure measure valued evolutionary game model |
| title_short | Basic stage structure measure valued evolutionary game model |
| title_sort | basic stage structure measure valued evolutionary game model |
| topic | continuous dependence well-posedness evolutionary game models stage structure. selection-mutation juvenile adult space of finite signed measure |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2015.12.291 |
| work_keys_str_mv | AT johncleveland basicstagestructuremeasurevaluedevolutionarygamemodel |