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Dynamical analysis of public health education on HIV/AIDS transmission
Author(s) -
Ostadzad M.H.,
Shahmorad S.,
Erjaee G.H.
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3300
Subject(s) - basic reproduction number , public health , human immunodeficiency virus (hiv) , transmission (telecommunications) , health education , asymptomatic , disease , reproduction , medicine , mathematics , environmental health , virology , population , biology , computer science , nursing , surgery , telecommunications , ecology
An Human Immunodeficiency Virus/Acquired Immuno‐Deficiency Syndrome (HIV/AIDS) epidemic model for sexual transmission with asymptomatic and symptomatic phase is proposed as a system of differential equations. The threshold and steady state for the model are determined and stabilities of disease free steady state is investigated. We use the model and study the effect of public health education on the spread of HIV/AIDS as a single‐strategy in HIV prevention. The education, including basic reproduction numberR Efor the model with public health education, is compared with the basic reproduction numberR 0for the HIV/AIDS in the absence of public health education. By comparing these two values, influence of public health education appears. According to property ofR E , threshold proportion of educated adolescents, education rate for susceptible individuals and education efficacy is obtained. Copyright © 2014 John Wiley & Sons, Ltd.