Abstract

The success in reducing global HIV prevalence rates is attributed to control measures like information and education campaigns (IECs), antiretroviral therapy (ART), and national, multinational and multilateral support providing official developmental assistance (ODAs) to combat HIV. A class of stochastic nonlinear multi-population behavioral HIV/AIDS models is studied, where behavioral change is inspired by the IECs safe sex education. Exponential almost sure stability analysis of the model is conducted, and the results are employed to determine the impacts of the supply of ODAs, IECs, early treatment and poverty rates on the epidemic. The behavioral change and the noise induced basic reproduction numbers are obtained.

摘要

降低全球艾滋病毒流行率的成功归功于信息和教育运动 (IEC)、抗逆转录病毒疗法 (ART) 以及提供官方发展援助 (ODA) 以对抗艾滋病毒的国家、多国和多边支持等控制措施。研究了一类随机非线性多人口行为 HIV/AIDS 模型，其中行为改变受到 IEC 安全性教育的启发。对该模型进行指数几乎肯定稳定性分析，并利用分析结果确定ODA供给、IECs、早期治疗和贫困率对疫情的影响。获得行为变化和噪声引起的基本再现数。