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Optimal disturbances for periodic solutions of time-delay differential equations

  • Michael Yu. Khristichenko EMAIL logo and Yuri M. Nechepurenko
Published/Copyright: August 17, 2022

Abstract

A concept of optimal disturbances of periodic solutions for a system of time-delay differential equations is defined. An algorithm for computing the optimal disturbances is proposed and justified. This algorithm is tested on the known system of four nonlinear time-delay differential equations modelling the dynamics of the experimental infection caused by the lymphocytic choriomeningitis virus. The results of numerical experiments are discussed.

MSC 2010: 92B05; 92C42; 93C23; 93B35; 93C73; 92-08

Funding statement: The research was supported by the Moscow Center of Fundamental and Applied Mathematics (Agreement 075-15-2019-1624 with the Ministry of Education and Science of the Russian Federation).

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Received: 2021-11-08
Revised: 2021-12-28
Accepted: 2022-02-11
Published Online: 2022-08-17
Published in Print: 2022-08-26

© 2022 Walter de Gruyter GmbH, Berlin/Boston

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