On a Mathematical Model with a Free Boundary of the Dynamics of Diffuse Infection with an Immune Response

A model of viral infection with self-proliferation of cytotoxic lymphocytes (CTLs) with a nonlinear infection rate and free boundaries is proposed, and its global dynamics are studied. The existence, uniqueness and uniform estimates of the global solution are proved, as well as the behavior of the c...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2024-08, Vol.45 (8), p.3986-3996
Main Authors: Takhirov, J. O., Rasulov, M. S., Norov, A. Q.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Free boundaries
Geometry
Lymphocytes
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Nonlinear dynamics
Probability Theory and Stochastic Processes
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Summary:A model of viral infection with self-proliferation of cytotoxic lymphocytes (CTLs) with a nonlinear infection rate and free boundaries is proposed, and its global dynamics are studied. The existence, uniqueness and uniform estimates of the global solution are proved, as well as the behavior of the components of the solution and the unknown boundary over large time intervals. With the help of the basic reproductive number , sufficient conditions are created for the spread or disappearance of the virus.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224604478