Document Details

Document Type : Article In Journal 
Document Title :
Stability Analysis of an HIV/AIDS Epidemic Model with Screening
تحليل الإستقرار للنظام الوبائي نقص المناعة البشرية (الإيدز) مع التحليل الطبي
 
Subject : Differential Equations 
Document Language : English 
Abstract : We present a non-linear mathematical model which analyzes the spread and control of HIV (human immunode.ciency virus)/AIDS(acquired immun- ode.ciency syndrome). We divide the population into four subclasses one of them is the susceptible population and the others are HIV infectives (HIV positives that do not know they are infected) 1, HIV positives that know they are infected (by away of medical screening or other ways) 2 and that of AIDS patients . Both the disease free equilibrium and the infected equilibrium are found and their global stability is investigated. The model is analyzed by using the basic reproduction number 0. If 0 1, the disease free equilibrium point is globally asymptotically stable, whereas the unique positive infected equilibrium point is globally asymptotically stable when 0 1. Also we study the effect of screening of unaware infectives on the spread of HIV disease and study the situation when aware HIV infectives take preventive measures and change their behavior so that they do not spread the infection in the community. 
ISSN : 1312-7594 
Journal Name : International Mathematical Forum 
Volume : 6 
Issue Number : 66 
Publishing Year : 1432 AH
2011 AD 
Article Type : Article 
Added Date : Saturday, May 19, 2012 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
سارة عبدالرحمن آل الشيخAl-Sheikh, sara AbdulrahmanResearcherDoctoratesalsheikh@kau.edu.sa
فريدة محمود مصليMusali, Farida MahmoudResearcherDoctoratefmusali@kau.edu.sa
منى رزق الله السلميAlsolami, Muna RizzqallahResearcherMastermralsolami@kau.edu.sa

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