首页> 外文期刊>International Journal of Mathematical Modelling and Numerical Optimisation >Exploring the linkages between HIV/AIDS and poverty: insights through a mathematical model
【24h】

Exploring the linkages between HIV/AIDS and poverty: insights through a mathematical model

机译:探索艾滋病毒/艾滋病与贫困之间的联系:通过数学模型见解

获取原文
获取原文并翻译 | 示例
获取外文期刊封面目录资料

摘要

Poverty continues to impact people living with HIV/AIDS negatively and it drives HIV/AIDS epidemics mostly in poor resource countries such as Malawi. In this paper, a mathematical model for HIV/AIDS that provides linkages between HIV/AIDS and poverty is formulated and analysed using nonlinear ordinary differential equations. The theoretical evaluations identified four equilibria namely; an equilibrium in which there is no disease and per capita income is zero, disease-free, an equilibrium in which per capita income is zero and endemic. An epidemic threshold value, R_(M) , called the reproduction number is determined using the next-generation matrix method. The analysis of the model shows that the disease-free and endemic equilibria are globally stable for R_(M) < 1 and R_(M) > 1 respectively. Sensitivity analysis of R_(M) is performed in order to determine how the parameters affect the dynamics of HIV/AIDS epidemics. Numerical simulations are done to show the role of some key model parameters on HIV/AIDS as well as to verify some analytical results. The results of the model suggest that income has the propensity to control the spread of HIV/AIDS because it has the capacity of decreasing unemployed people's vulnerability to sexually transmitted diseases such as HIV/AIDS.
机译:None

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号