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.
Citation: Sílvia Cuadrado. Stability of equilibria of a predator-prey model of phenotype evolution[J]. Mathematical Biosciences and Engineering, 2009, 6(4): 701-718. doi: 10.3934/mbe.2009.6.701
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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.