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Global analysis of a humoral and cellular immunity virus dynamics model with the Beddington-DeAngelis incidence rate.
- Source :
- Mathematical Methods in the Applied Sciences; Sep2015, Vol. 38 Issue 14, p2984-2993, 10p
- Publication Year :
- 2015
-
Abstract
- In this paper, a humoral and cellular immunity virus dynamics model with the Beddington-DeAngelis incidence rate is set up. We derive the basic reproductive number R<subscript>0</subscript>, the cytotoxic T lymphocytes immune response reproductive number R<subscript>1</subscript>, the humoral immune response reproductive number R<subscript>2</subscript>, humoral immune response competitive reproductive number R<subscript>3</subscript>, and cytotoxic T lymphocytes immune response competitive reproductive number R<subscript>4</subscript>, and a full description of the relation between the existence of the equilibria and reproductive numbers is given. The global properties of the five equilibria are obtained by constructing Lyapunov functions. Copyright © 2014 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 38
- Issue :
- 14
- Database :
- Complementary Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 108610979
- Full Text :
- https://doi.org/10.1002/mma.3274