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Stability of a CD4+ T cell viral infection model with diffusion.
- Source :
- International Journal of Biomathematics; Jul2018, Vol. 11 Issue 5, pN.PAG-N.PAG, 16p
- Publication Year :
- 2018
-
Abstract
- This paper is devoted to the study of the stability of a CD 4 + T cell viral infection model with diffusion. First, we discuss the well-posedness of the model and the existence of endemic equilibrium. Second, by analyzing the roots of the characteristic equation, we establish the local stability of the virus-free equilibrium. Furthermore, by constructing suitable Lyapunov functions, we show that the virus-free equilibrium is globally asymptotically stable if the threshold value ℛ 0 ≤ 1 ; the endemic equilibrium is globally asymptotically stable if ℛ 0 > 1 and d u ∗ − δ w ∗ ≥ 0. Finally, we give an application and numerical simulations to illustrate the main results. [ABSTRACT FROM AUTHOR]
- Subjects :
- T cells
CD4 antigen
VIRUS diseases
LYAPUNOV functions
COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 17935245
- Volume :
- 11
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- International Journal of Biomathematics
- Publication Type :
- Academic Journal
- Accession number :
- 131027333
- Full Text :
- https://doi.org/10.1142/S1793524518500717