The predator-dependent replicator dynamics

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dc.creatorIan Magalhães Braga
dc.creatorLucas Lages Wardil
dc.date.accessioned2025-02-24T19:08:36Z
dc.date.accessioned2025-09-08T23:49:49Z
dc.date.available2025-02-24T19:08:36Z
dc.date.issued2021
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipFAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas Gerais
dc.description.sponsorshipCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
dc.identifier.doihttps://doi.org/10.1088/1751-8121/ac40e4
dc.identifier.issn1751-8121
dc.identifier.urihttps://hdl.handle.net/1843/80377
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofJournal of Physics A: Mathematical and Theoretical
dc.rightsAcesso Restrito
dc.subjectTeoria dos jogos
dc.subjectEvolução (Biologia)
dc.subjectEcologia
dc.subjectDinâmica populacional
dc.subject.otherEco evolutionary dynamics
dc.subject.otherEvolutionary game theory
dc.subject.otherReplicator equation
dc.subject.otherTwo-prey one-predator model
dc.titleThe predator-dependent replicator dynamics
dc.typeArtigo de periódico
local.citation.epage16
local.citation.issue2
local.citation.spage1
local.citation.volume55
local.description.resumoEcological interactions are central to understanding evolution. For example, Darwin noticed that the beautiful colours of the male peacock increase the chance of successful mating. However, the colours can be a threat because of the increased probability of being caught by predators. Eco-evolutionary dynamics takes into account environmental interactions to model the process of evolu- tion. The selection of prey types in the presence of predators may be subjected to pressure on both reproduction and survival. Here, we analyze the evolution- ary game dynamics of two types of prey in the presence of predators. We call this model the predator-dependent replicator dynamics. If the evolutionary time scales are different, the number of predators can be assumed constant, and the traditional replicator dynamics is recovered. However, if the time scales are the same, we end up with sixteen possible dynamics: the combinations of four reproduction’s games with four predation’s games. We analyze the dynamics and calculate conditions for the coexistence of prey and predator. The main result is that predators can change the equilibrium of the traditional replicator dynamics. For example, the presence of predators can induce polymorphism in prey if one type of prey is more attractive than the other, with the prey ending with a lower capture rate in this new equilibrium. Lastly, we provide two illus- trations of the dynamics, which can be seen as rapid feedback responses in a predator–prey evolutionary arm’s race.
local.identifier.orcidhttps://orcid.org/0000-0003-1760-7557
local.identifier.orcidhttps://orcid.org/0000-0003-2964-948X
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://iopscience.iop.org/article/10.1088/1751-8121/ac40e4

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