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Global dynamics of a general diffusive HBV infection model with capsids and adaptive immune response.
- Source :
- Advances in Difference Equations; 12/12/2019, Vol. 2019 Issue 1, p1-31, 31p
- Publication Year :
- 2019
-
Abstract
- This paper studies the global dynamics of a general diffusive hepatitis B virus (HBV) infection model. The model includes both enveloped viruses and DNA containing capsids. Two immune responses are recruited to attack the virus and infected hepatocytes. These are the cytotoxic T-lymphocytes (CTL) which kill the infected liver cells, and B cells which send antibodies to attack the virus. The non-negativity and boundedness of the solutions are discussed. The existence of spatially homogeneous equilibrium points is examined. The global stability of all possible equilibrium points is proved by choosing suitable Lyapunov functionals. Some numerical simulations are performed to enhance the theoretical results and present the behavior of solutions in space and time. [ABSTRACT FROM AUTHOR]
- Subjects :
- IMMUNE response
CYTOTOXIC T cells
LIVER cells
HEPATITIS B virus
DNA viruses
Subjects
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2019
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 140313067
- Full Text :
- https://doi.org/10.1186/s13662-019-2448-y