A selection mutation equations model for the distribution of individuals with respect to the age at maturity is considered. In this model we assume that a mutation, perhaps very small, occurs in every reproduction where the noncompactness of the domain of the structuring variable and the two-dimensionality of the environment are the main features. Existence of stationary solutions is proved using the theory of positive semigroups and the infinite-dimensional version in Banach lattices of the Perron Frobenius theorem. The behavior of these stationary solutions when the mutation is small is studied. © World Scientific Publishing Company.
|Journal||Mathematical Models and Methods in Applied Sciences|
|Publication status||Published - 1 Jul 2005|
- Evolutionary stable strategy
- Selection mutation equations
- Stationary solutions