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

U. Sílvia Cuadrado

doi:10.3934/mbe.2009.6.701

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

U. Sílvia Cuadrado^*

^*Autor corresponent d’aquest treball

Departament de Matemàtiques

Producció científica: Contribució a revista › Article › Recerca › Avaluat per experts

3 Cites (Scopus)

Resum

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.

Idioma original	Anglès
Pàgines (de-a)	701-718
Nombre de pàgines	18
Revista	Mathematical Biosciences and Engineering
Volum	6
Número	4
DOIs	https://doi.org/10.3934/mbe.2009.6.701
Estat de la publicació	Publicada - d’oct. 2009

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10.3934/mbe.2009.6.701

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@article{da80712f9edd4299a84579f17eb3ffae,

title = "Stability of equilibria of a predator-prey model of phenotype evolution",

abstract = "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.",

keywords = "Asymptotic stability, Evolutionarily stable strategy, Weinstein aronszajn determinant",

author = "\{S{\'i}lvia Cuadrado\}, U.",

year = "2009",

month = oct,

doi = "10.3934/mbe.2009.6.701",

language = "English",

volume = "6",

pages = "701--718",

journal = "Mathematical Biosciences and Engineering",

issn = "1547-1063",

publisher = "American Institute of Mathematical Sciences",

number = "4",

}

TY - JOUR

T1 - Stability of equilibria of a predator-prey model of phenotype evolution

AU - Sílvia Cuadrado, U.

PY - 2009/10

Y1 - 2009/10

N2 - 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.

AB - 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.

KW - Asymptotic stability

KW - Evolutionarily stable strategy

KW - Weinstein aronszajn determinant

UR - https://www.scopus.com/pages/publications/76549127405

U2 - 10.3934/mbe.2009.6.701

DO - 10.3934/mbe.2009.6.701

M3 - Article

C2 - 19835425

AN - SCOPUS:76549127405

SN - 1547-1063

VL - 6

SP - 701

EP - 718

JO - Mathematical Biosciences and Engineering

JF - Mathematical Biosciences and Engineering

IS - 4

ER -

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

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