The modification of the model of P.Bak and K.Sneppen of the self-organizedbiological evolution is proposed on the basis of a formalization of the schemeof the biosphere evolution suggested by O.V.Kovalev. This scheme is regarded asone approximating the realistic model of the ecosystem evolution. Thefundamental difference between "coenophilous" species and "coenophobous" onesin respect to their reaction on the external environment is represented. Thedynamics of the modified model as well as that of the model of P.Bak and K.Sneppen possesses the most important features of selforganized criticality: theavalanche-like processes and the punctuated equilibrium. The results obtainedby using the numerical experiment for the study of these phenomena arepresented.
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