Stability of equilibria of a predator-prey model of phenotype evolution.
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.
Cuadrado
Silvia
S
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain. silvia@mat.uab.cat
D000818:Animals; D005075:Biological Evolution; D020387:Food Chain; D055641:Mathematical Concepts; D008954:Models, Biological; D009154:Mutation; D010641:Phenotype; D011235:Predatory Behavior