Abstract:
The theory of the relation between evolutionary optimality and the stability of equilibrium states is described. The main result of the theory is stated in the case of quasilinear dynamical systems in normed spaces. Applications of the theory to models of structured biological communities are discussed. Functionals for communities with an age and spatial structure are computed on the basis of available information on steady-state stationary distributions. The functionals are optimized with respect to the parameters of evolutionary selection.
Key words:models of biological systems, stability, evolutionary optimality, age structure, spatial structure.
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