@article {10.3844/ajassp.2012.961.967,
article_type = {journal},
title = {On Stability and Bifurcation of Solutions of  Nonlinear System of Differential Equations for AIDS Disease},
author = {El-Marouf, S. A.A.},
volume = {9},
year = {2012},
month = {Apr},
pages = {961-967},
doi = {10.3844/ajassp.2012.961.967},
url = {https://thescipub.com/abstract/ajassp.2012.961.967},
abstract = {Problem statement: This study aims to discuss the stability and bifurcation of a system of ordinary differential equations expressing a general nonlinear model of HIV/AIDS which has great interests from scientists and researchers on mathematics, biology, medicine and education. The existance of equilibrium points and their local stability are studied for HIV/AIDS model with two forms of the incidence rates. Conclusion/Recommendations: A comparison with recent published results is given. Hopf bifurcation of solutions of an epidemic model with a general nonlinear incidence rate is established. It is also proved that the system undergoes a series of Bogdanov-Takens bifurcation, i.e., saddle-node bifurcation, Hopf bifurcation and homoclinic bifurcation for suitable values of the parameters.},
journal = {American Journal of Applied Sciences},
publisher = {Science Publications}
}