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Asymptotic and Stability Dynamics of an HIV-1-Cytotoxic T Lymphocytes (CTL) Chemotaxis Model.
- Source :
- Journal of Nonlinear Science; Jun2020, Vol. 30 Issue 3, p1055-1080, 26p
- Publication Year :
- 2020
-
Abstract
- In this paper, we study the asymptotic and stability dynamics of a chemotaxis model in volume filling constraints on HIV-1-incorporating cytotoxic T lymphocytes (CTLs) cells in defense mechanism against the virus infection. The system of uninfected CD 4 + T -cells, infected and CTL defense cells is globally well-defined in Ω × (0 , ∞) , with uninfected CD 4 + T and CTL cells remaining bounded, while the HIV-1-activated cells decay to the null state at time t = ∞ . Routh–Hurwitz criteria yields asymptotical stability of the system, if the CTL threshold value is sufficiently large with CTL decay small, and instability otherwise. In control theory, it is implied that a bounded control yields the system not completely controllable, but bounded input-bounded output stable (b.i.b.o.-stable) with stabilizability and detectability not guaranteed. If guaranteed, the system is asymptotically stable if and only if it is b.i.b.o.-stable. In addition, numerical simulation results of the model are provided. [ABSTRACT FROM AUTHOR]
- Subjects :
- CYTOTOXIC T cells
T cells
CHEMOTAXIS
CONTROL theory (Engineering)
VIRUS diseases
Subjects
Details
- Language :
- English
- ISSN :
- 09388974
- Volume :
- 30
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Journal of Nonlinear Science
- Publication Type :
- Academic Journal
- Accession number :
- 143152925
- Full Text :
- https://doi.org/10.1007/s00332-019-09601-z