Asymptotic stability of equilibria of selection-mutation equations.

Abstract excerpt

We study local stability of equilibria of selection-mutation equations when mutations are either very small in size or occur with very low probability. The main mathematical tools are the linearized stability principle and the fact that, when the environment (the nonlinearity) is finite dimensional, the linearized operator at the steady state turns out to be a degenerate perturbation of a known operator with...

Topics

• Animals
• Biological Evolution
• Genetics, Population
• Linear Models
• Mathematics
• Models, Genetic
• Mutation
• Nonlinear Dynamics
• Phenotype
• Selection, Genetic