Dynamical analysis of public health education on HIV/AIDS transmission. (English) Zbl 1337.37070
Summary: 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 number \(\mathcal R_E\) for the model with public health education, is compared with the basic reproduction number \(\mathcal R_0\) for the HIV/AIDS in the absence of public health education. By comparing these two values, influence of public health education appears. According to property of \(\mathcal R_E\), threshold proportion of educated adolescents, education rate for susceptible individuals and education efficacy is obtained.
MSC:
| 37N25 | Dynamical systems in biology |
| 92B05 | General biology and biomathematics |
| 34A34 | Nonlinear ordinary differential equations and systems |
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