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Bifurcations of a mathematical model for HIV dynamics.
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2016, Vol. 434 Issue 1, p837-857. 21p. - Publication Year :
- 2016
-
Abstract
- This paper investigates bifurcations and stability of an HIV model that incorporates the immune responses. The conditions for the global stability of infection-free equilibrium and infection equilibrium are respectively established by the Lyapunov method and the geometric approach. The backward bifurcation from the infection-free equilibrium is examined by analytical analysis. More interestingly, with the aid of mathematical analysis, we find a new type of bifurcations from an infection equilibrium, where a backward bifurcation curve emerges and can be continued to the place where the basic reproduction number is less than unity. By numerical simulations, we find a variety of dynamical behaviors of the model, which reveal the importance and complexity of immune responses in fighting HIV replication. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 434
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 110187778
- Full Text :
- https://doi.org/10.1016/j.jmaa.2015.09.048