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Mathematical analysis of an HTLV-I infection model with the mitosis of CD4+ T cells and delayed CTL immune response.
- Source :
- Nonlinear Analysis: Modeling & Control; 2021, Vol. 26 Issue 1, p1-20, 20p
- Publication Year :
- 2021
-
Abstract
- In this paper, we consider an improved Human T-lymphotropic virus type I (HTLV-I) infection model with the mitosis of CD4<superscript>+</superscript> T cells and delayed cytotoxic T-lymphocyte (CTL) immune response by analyzing the distributions of roots of the corresponding characteristic equations, the local stability of the infection-free equilibrium, the immunity-inactivated equilibrium, and the immunity-activated equilibrium when the CTL immune delay is zero is established. And we discuss the existence of Hopf bifurcation at the immunity-activated equilibrium. We define the immune-inactivated reproduction ratio R<subscript>0</subscript> and the immune-activated reproduction ratio R<subscript>1</subscript>. By using Lyapunov functionals and LaSalle's invariance principle, it is shown that if R<subscript>0</subscript> < 1, the infection-free equilibrium is globally asymptotically stable; if R<subscript>1</subscript> < 1 < R<subscript>0</subscript>, the immunityinactivated equilibrium is globally asymptotically stable; if R<subscript>1</subscript> > 1, the immunity-activated equilibrium is globally asymptotically stable when the CTL immune delay is zero. Besides, uniform persistence is obtained when R<subscript>1</subscript> > 1. Numerical simulations are carried out to illustrate the theoretical results. [ABSTRACT FROM AUTHOR]
- Subjects :
- HTLV
MITOSIS
CD4 antigen
T cells
IMMUNITY
Subjects
Details
- Language :
- English
- ISSN :
- 13925113
- Volume :
- 26
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Nonlinear Analysis: Modeling & Control
- Publication Type :
- Academic Journal
- Accession number :
- 173135959
- Full Text :
- https://doi.org/10.15388/namc.2021.26.21050