Computation of periodic solutions to models of infectious disease dynamics and immune response-Reference-Cited by-同舟云学术

Computation of periodic solutions to models of infectious disease dynamics and immune response

Published:2021-04-01 Issue:2 Volume:36 Page:87-99
ISSN:1569-3988
Container-title:Russian Journal of Numerical Analysis and Mathematical Modelling
language:en
Short-container-title:

Author:

Khristichenko M. Yu.¹²,Nechepurenko Yu. M.²³

Affiliation:

1. Moscow Center for Fundamental and Applied Mathematics at Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences , Moscow , 119333 , Russia

2. Keldysh Institute of Applied Mathematics Russian Academy of Sciences , Moscow , 125047 , Russia

3. Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences , Moscow , 119333 , Russia

Abstract

Abstract The paper is focused on computation of stable periodic solutions to systems of delay differential equations modelling the dynamics of infectious diseases and immune response. The method proposed here is described by an example of the well-known model of dynamics of experimental infection caused by lymphocytic choriomeningitis viruses. It includes the relaxation method for forming an approximate periodic solution, a method for estimating the approximate period of this solution based on the Fourier series expansion, and a Newton-type method for refining the approximate period and periodic solution. The results of numerical experiments are presented and discussed. The proposed method is compared to known ones.

Publisher

Walter de Gruyter GmbH

Subject

Modeling and Simulation,Numerical Analysis

Link

https://www.degruyter.com/document/doi/10.1515/rnam-2021-0008/pdf

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