Stability of equilibria of a predator-prey model of phenotype evolution | Zendy

Sı́lvia Cuadrado | Zendy

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Stability of equilibria of a predator-prey model of phenotype evolution

Author(s) -

Sı́lvia Cuadrado

Publication year - 2009

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2009.6.701

Subject(s) - stability (learning theory) , trait , predator , predation , population , selection (genetic algorithm) , mathematics , mutation , evolutionarily stable strategy , mathematical economics , evolutionary biology , biology , mathematical optimization , ecology , computer science , game theory , genetics , demography , gene , machine learning , artificial intelligence , sociology , programming language

We consider a selection mutation predator-prey model for the distribution of individuals with respect to an evolutionary trait. Local stability of the equilibria of this model is studied using the linearized stability principle and taking advantage of the (assumed) asymptotic stability of the equilibria of the resident population adopting an evolutionarily stable strategy.

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