MATHEMATICAL MODEL OF TESTOSTERONE REGULATION: STABILITY AND CAUCHY MATRIX

In this paper we consider the model of testosterone regulation. This model was proposed first in the paper by A.Churilov and his coauthors. They use the impulse model. In our paper we use another approach based on analysis of integro-differential systems. We reduce analysis of this system to one of ordinary differential equations ant then analyze system of ordinary differential equations. The main results propose stability tests of the testosterone model. The technique of the construction of the Cauchy matrix is used. In development of the previous results, the case of complex roots is considered. Then we obtain stability tests for system with uncertain coefficients.