Systems of Delay Differential Equations: Analysis of a model with feedback

C. ALLIERA; P. AMSTER

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

ELSEVIER SCIENCE BV

Lugar: Amsterdam; Año: 2018 vol. 65 p. 299 - 308

1007-5704

Using topological degree theory, we prove the existence of positive periodic solutions of a system of delay differential equations for models with feedback arising on regulatory mechanisms in which self-regulation is relevant, e.g. in cell physiology.We study different models based on the cycle of testosterone and generalizations. {The method in the present work allows to analyze and extend known results from a different perspective, shortening proofs and giving an alternative approach for the study of complex models.