descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2018Embargo end date: 01 Jan 2017 Turkish Publisher:Communications Faculty of Sciences University of Ankara Series A1 Mathematics and StatisticsJournal:Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, volume 67, pages 93-101 (issn: 1303-5991,

Authors: SILVA CRİSTİANA, J.; TORRES DELFIM F., M.;

doi: 10.1501/commua1_0000000833 , 10.48550/arxiv.1704.05806

arXiv: http://arxiv.org/abs/1704.05806

handle: 10773/24503

Global stability for a HIV/AIDS model

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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.

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

Related Organizations

Ankara University
Turkey
University of Aveiro
Portugal

Keywords

34D23, 34C60, 92D30, HIV/AIDS mathematical model, Populations and Evolution (q-bio.PE), Global stability, Dynamical Systems (math.DS), Mathematics - Classical Analysis and ODEs, FOS: Biological sciences, Classical Analysis and ODEs (math.CA), FOS: Mathematics, HIV/AIDS mathematical model;global stability;Lyapunov functions, Mathematics - Dynamical Systems, Quantitative Biology - Populations and Evolution, Lyapunov functions

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