Global Stability for a HIV/AIDS Model
Populations and Evolution
2017-07-05 v1 Classical Analysis and ODEs
Dynamical Systems
Abstract
We investigate global stability properties of a HIV/AIDS population model with constant recruitment rate, mass action incidence, and variable population size. Existence and uniqueness results for disease-free and endemic equilibrium points are proved. Global stability of the equilibria is obtained through Lyapunov's direct method and LaSalle's invariance principle.
Cite
@article{arxiv.1704.05806,
title = {Global Stability for a HIV/AIDS Model},
author = {Cristiana J. Silva and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1704.05806},
year = {2017}
}
Comments
This is a preprint of a paper whose final and definite form is with 'Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.', ISSN: 1303-5991. Submitted 08 Sept 2016; Article revised 15 Apr 2017; Article accepted for publication 19 Apr 2017. arXiv admin note: text overlap with arXiv:1703.06446