Stability analysis of an HIV/AIDS epidemic model with screening
type: Item
instance of: scholarly article
zbMATH Open document ID: 1256.34031
author: Sarah Al-Sheikh
author: Farida Musali
author: Muna Alsolami
publication date: 2012-09-12T00:00:00Z
full work available at URL: index.html
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D23
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 34C05
zbMATH DE Number: 6081607
zbMATH Keywords: basic reproduction number
zbMATH Keywords: global stability
MaRDI profile type: Publication
title: Stability analysis of an HIV/AIDS epidemic model with screening
published in: International Mathematical Forum
review text: The authors study a mathematical model that describes HIV/AIDS dynamics. Both a local and global stability analysis is carried out. The local stability of the endemic equilibrium is proved by using a new criterion that utilizes the second additive compound matrices, and the global stability of it is shown by excluding the existence of periodic solutions, homoclinic loops, and oriented phase polygons inside the invariant region. By dividing the infected into unaware and aware ones, the model analysis also indicates how the screening of the unaware infected can prevent the disease from spreading.
reviewed by: Liancheng Wang
description: scientific article; zbMATH DE number 6081607