Approaches to use the theory of evolutionary optimality in the study of structured models of biological communities are proposed. Relations of this theory to the stability of equilibrium states are indicated and the formulation of its main result for the case of a quasilinear dynamical systems in normed spaces is presented. For models of communities with age, spatial, and age-spatial structure, functionals optimized over parameters of evolutionary selection are constructed. The functionals are calculated on the basis of the available information concerning steady stationary distributions. The sets of parameters obtained as the result of this optimization can serve for identification of models.
© 2014 by Walter de Gruyter Berlin/Boston