Optimal Control Strategies of a HIV/AIDS Epidemic Model

摘要：

We formulate a HIV/AIDS epidemic model with interventions so as to address the impacts of three control strategies such as strengthening precaution, diagnosis and education, and then we re-formulate the model as an optimal control problem. We primarily focus on controlling the disease using an objective function based on a combination of minimizing the number of HIV infections and minimizing the systemic cost of control strategies. By using Pontryagin’s maximum principle we derive the optimal levels of the three controls. Then, the optimal system is solved using an iterative method. Numerical simulations of the optimal system indicate that the precaution strategy is more effective in reducing disease transmission than the other two control strategies. So the precaution measure should be emphasized.

关键词： HIV/AIDS optimal control precaution diagnosis education optimality system

作者: Weiwei Shi Yanni Xiao

作者单位: Department of Applied Mathematics, Xian Jiaotong University, Xian 710049,P. R. China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 582-587

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）