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

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  • 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.
    Mathematics Subject Classification: Primary: 47A10, 92D15; Secondary: 35B35.


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