The analysis of stationary solutions model M(n,k) of symmetric hypothetical genetic nets

M(n,k) models of hypothetical genetic nets are special systems of differential equations with two parameters (/spl alpha/,/spl gamma/) which describe symmetric graphs G(n,k). Graph G(n,k) is a graph of connection, representing exchange of components in human genes. x/sub 1/, x/sub 2/, ..., x/sub n/ are concentrations of components. The criterion for M(n,k) models has been formulated to determine quality and quantity of stable solution. The author makes analytical research of stationary solutions of M(n,k) differential equations. The most fully author researched model M(n,n) has been obtained for the number of all stationary solutions model M(n,n). All stationary solutions have been found explicit in parametric depending from additional parameter model.