TY - JOUR
T1 - MATHEMATICAL MODEL OF TESTOSTERONE REGULATION
T2 - STABILITY AND CAUCHY MATRIX
AU - Volinsky, Irina
AU - Cohen, R.
N1 - Publisher Copyright:
© 2020 Fractional Differential Calculus. All rights reserved.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85159262539&partnerID=8YFLogxK
U2 - 10.26351/FDE/26/3-4/6
DO - 10.26351/FDE/26/3-4/6
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85159262539
SN - 0793-1786
VL - 26
SP - 221
EP - 229
JO - Functional Differential Equations
JF - Functional Differential Equations
IS - 3-4
ER -