Computation of periodic solutions to models of infectious disease dynamics and immune response
| Autor: | Yu. M. Nechepurenko, M. Yu. Khristichenko |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Numerical Analysis
010504 meteorology & atmospheric sciences Computation Dynamics (mechanics) Delay differential equation 01 natural sciences 010101 applied mathematics Immune system Infectious disease (medical specialty) Modeling and Simulation Applied mathematics 0101 mathematics Fourier series 0105 earth and related environmental sciences Mathematics |
| Zdroj: | Russian Journal of Numerical Analysis and Mathematical Modelling. 36:87-99 |
| ISSN: | 1569-3988 0927-6467 |
| DOI: | 10.1515/rnam-2021-0008 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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