Mixed strategies and natural selection in resource allocation
An appropriate choice of strategy for resource allocation may frequently determine whether a population will be able to survive under the conditions of severe resource limitations. Here we focus on two classes of strategies allocation of resources towards rapid proliferation, or towards slower proli...
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1561 |
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| author | Irina Kareva Faina Berezovkaya Georgy Karev |
| author_facet | Irina Kareva Faina Berezovkaya Georgy Karev |
| author_sort | Irina Kareva |
| collection | DOAJ |
| description | An appropriate choice of strategy for resource allocation may frequently determine whether a population will be able to survive under the conditions of severe resource limitations. Here we focus on two classes of strategies allocation of resources towards rapid proliferation, or towards slower proliferation but increased physiological and environmental maintenance. We propose a generalized framework, where individuals within a population can use either strategy in different proportion for utilization of a common dynamical resource in order to maximize their fitness. We use the model to address two major questions, namely, whether either strategy is more likely to be selected for as a result of natural selection, and, if one allows for the possibility of resource over-consumption, whether either strategy is preferable for avoiding population collapse due to resource exhaustion. Analytical and numerical results suggest that the ultimate choice of strategy is determined primarily by the initial distribution of individuals in the population, and that while investment in physiological and environmental maintenance is a preferable strategy in a homogeneous population, no generalized prediction can be made about heterogeneous populations. |
| format | Article |
| id | doaj-art-eddc7dcae30246219780a57d2a88fb96 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-eddc7dcae30246219780a57d2a88fb962025-01-24T02:26:34ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-07-01105&61561158610.3934/mbe.2013.10.1561Mixed strategies and natural selection in resource allocationIrina Kareva0Faina Berezovkaya1Georgy Karev2School of Human Evolution and Social Change, Arizona State University, 900 S Cady Mall, Tempe, AZ, 85287Department of Mathematics, 2441 Sixth Street NW, Washington, DC, 20059National Institute for Biotechnology Information (NCBI), National Institutes of Health, 8600 Rockville Pike MSC 3830, Bethesda, MD 20894An appropriate choice of strategy for resource allocation may frequently determine whether a population will be able to survive under the conditions of severe resource limitations. Here we focus on two classes of strategies allocation of resources towards rapid proliferation, or towards slower proliferation but increased physiological and environmental maintenance. We propose a generalized framework, where individuals within a population can use either strategy in different proportion for utilization of a common dynamical resource in order to maximize their fitness. We use the model to address two major questions, namely, whether either strategy is more likely to be selected for as a result of natural selection, and, if one allows for the possibility of resource over-consumption, whether either strategy is preferable for avoiding population collapse due to resource exhaustion. Analytical and numerical results suggest that the ultimate choice of strategy is determined primarily by the initial distribution of individuals in the population, and that while investment in physiological and environmental maintenance is a preferable strategy in a homogeneous population, no generalized prediction can be made about heterogeneous populations.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1561population heterogeneityresource allocationstrategies.mathematical modelnatural selection |
| spellingShingle | Irina Kareva Faina Berezovkaya Georgy Karev Mixed strategies and natural selection in resource allocation Mathematical Biosciences and Engineering population heterogeneity resource allocation strategies. mathematical model natural selection |
| title | Mixed strategies and natural selection in resource allocation |
| title_full | Mixed strategies and natural selection in resource allocation |
| title_fullStr | Mixed strategies and natural selection in resource allocation |
| title_full_unstemmed | Mixed strategies and natural selection in resource allocation |
| title_short | Mixed strategies and natural selection in resource allocation |
| title_sort | mixed strategies and natural selection in resource allocation |
| topic | population heterogeneity resource allocation strategies. mathematical model natural selection |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.1561 |
| work_keys_str_mv | AT irinakareva mixedstrategiesandnaturalselectioninresourceallocation AT fainaberezovkaya mixedstrategiesandnaturalselectioninresourceallocation AT georgykarev mixedstrategiesandnaturalselectioninresourceallocation |