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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).