STABILITY ANALYSIS OF A VIRAL IMMUNE RESPONSE MODEL INVOLVING TWO TIME DELAYS

We study the qualitative behaviour of the homogeneous in space solution of a two delays differential equation arising from an immune response mathematical model. We use the monotone dynamical systems framework. First, existence and smoothness of solutions are investigated. Then, sufficient conditions of the free-infection and the endemic equilibriums asymptotic stability are derived for different types of the function representing the efficiency of immune response-mediated virus elimination. Then, we use clinical data to calibrate the differential equation and illustrate the analytical results by numerical simulation with the obtained parameters values. © 2023 Academic Publications. All Rights Reserved.

Authors
Boudchich F. , Karkri J.E. , Aboulaich R. , Volpert V.
Journal
International Journal of Applied Mathematics
Publisher
Academic Publications Ltd.
Number of issue
5
Language
English
Pages
715-733
Status
Published
Link
External link
DOI
10.12732/IJAM.V36I5.10
Volume
36
Year
2023
Organizations
  • 1 Laboratory LERMA, Mohammadia School of Engineers Mohammed V University in Rabat, Avenue Ibn Sina B.P 765, Agdal Rabat, 10090, Morocco
  • 2 Institut Camille Jordan, UMR 5208 CNRS University Lyon 1, Villeurbanne, 69622, France
  • 3 Peoples Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya, St. Moscow, 117198, Russian Federation
Keywords
asymptotic stability; delay differential equations; exponential ordering; global stability; immune response mathematical modeling; monotone dynamical systems
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