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DOI | 10.1073/pnas.2017463118 |
Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model | |
Grunert K.; Holden H.; Jakobsen E.R.; Chr. Stenseth N. | |
发表日期 | 2021 |
ISSN | 00278424 |
卷号 | 118期号:4 |
英文摘要 | An evolutionarily stable strategy (ESS) is an evolutionary strategy that, if adapted by a population, cannot be invaded by any deviating (mutant) strategy. The concept of ESS has been extensively studied and widely applied in ecology and evolutionary biology [M. Smith, On Evolution (1972)] but typically on the assumption that the system is ecologically stable. With reference to a Rosenzweig–MacArthur predator–prey model [M. Rosenzweig, R. MacArthur, Am. Nat. 97, 209–223 (1963)], we derive the mathematical conditions for the existence of an ESS when the ecological dynamics have asymptotically stable limit points as well as limit cycles. By extending the framework of Reed and Stenseth [J. Reed, N. C. Stenseth, J. Theoret. Biol. 108, 491–508 (1984)], we find that ESSs occur at values of the evolutionary strategies that are local optima of certain functions of the model parameters. These functions are identified and shown to have a similar form for both stable and fluctuating populations. We illustrate these results with a concrete example. © 2021 National Academy of Sciences. All rights reserved. |
英文关键词 | Dynamical systems; Ecology; Evolution; Limit cycles; Population dynamics |
语种 | 英语 |
scopus关键词 | article; ecology; population dynamics; predator |
来源期刊 | Proceedings of the National Academy of Sciences of the United States of America |
文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/180916 |
作者单位 | Department of Mathematical Sciences, NTNU Norwegian University of Science and Technology, Trondheim, NO-7491, Norway; Centre for Ecological and Evolutionary Synthesis, Department of Biosciences, University of Oslo, Oslo, NO-0316, Norway; Centre for Biodiversity Dynamics, NTNU Norwegian University of Science and Technology, Trondheim, NO-7491, Norway |
推荐引用方式 GB/T 7714 | Grunert K.,Holden H.,Jakobsen E.R.,等. Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model[J],2021,118(4). |
APA | Grunert K.,Holden H.,Jakobsen E.R.,&Chr. Stenseth N..(2021).Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model.Proceedings of the National Academy of Sciences of the United States of America,118(4). |
MLA | Grunert K.,et al."Evolutionarily stable strategies in stable and periodically fluctuating populations: The Rosenzweig–MacArthur predator–prey model".Proceedings of the National Academy of Sciences of the United States of America 118.4(2021). |
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