Open AccessAnalysis of global stability of HIV/AIDS epidemic model in homogeneous community
Author(s) -
Sutimin Sutimin,
Siti Khabibah,
Dita Anies Munawwaroh,
R. H. Soelistyo,
A. Henindya
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1567/2/022081
Subject(s) - stability (learning theory) , homogeneous , equilibrium point , stability theory , human immunodeficiency virus (hiv) , basic reproduction number , mathematics , population , mathematical economics , exponential stability , econometrics , demography , computer science , mathematical analysis , physics , biology , combinatorics , virology , sociology , nonlinear system , machine learning , quantum mechanics , differential equation
A model of HIV/AIDS epidemic in homogenous community is proposed and analyzed the global dynamic. The model is studied to investigate the existence of equilibria and analyze the global stability. The global dynamic is determined by the basic reproduction ratio that is obtained from the next generation matrix of the model. The endemic equilibrium point is globally asymptotically stable when this ratio exceeds unity, while the disease free equilibrium achieves the global stability when the ratio is less than unity. The simulation results are presented to simulate the evolution of population in the long term