Back to Search
Start Over
Dynamic behaviors of a delayed HIV model with stage-structure
- Source :
-
Communications in Nonlinear Science & Numerical Simulation . Dec2012, Vol. 17 Issue 12, p4753-4766. 14p. - Publication Year :
- 2012
-
Abstract
- Abstract: Inspired by a simulation specific to a delayed HIV model with stage-structure, some dynamic behaviors are studied in this paper, including global stability of disease-free equilibrium and local Hopf bifurcation when taking the delay as a parameter. The corresponding characteristic equation is a transcendental equation, with the parameters delay-dependent, thus we use the conventional analysis introduced by Beretta and Kuang to obtain sufficient conditions to the existence of Hopf bifurcation. Then some properties of Hopf bifurcation such as direction, stability and period are determined, and several examples illustrate our results. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 10075704
- Volume :
- 17
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Communications in Nonlinear Science & Numerical Simulation
- Publication Type :
- Periodical
- Accession number :
- 78279753
- Full Text :
- https://doi.org/10.1016/j.cnsns.2012.04.004