Geodesic
Selection functionals in autonomous models of biological systems with continuous age and spatial structure
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 338-346

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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. 
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     author = {V. N. Razzhevaǐkin},
     title = {Selection functionals in autonomous models of biological systems with continuous age and spatial structure},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {338--346},
     publisher = {mathdoc},
     volume = {50},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a12/}
}
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V. N. Razzhevaǐkin. Selection functionals in autonomous models of biological systems with continuous age and spatial structure. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 338-346. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a12/