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Optimal Control and Sensitivity Analysis of HIV Model with Public Health Education Campaign and Antiretroviral Therapy

机译：公共卫生教育运动和抗逆转录病毒治疗HIV模型的最佳控制与敏感性分析

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A deterministic mathematical model with public health education campaigns and antiretroviral therapy as control variables are formulated and analyzed using sensitivity analysis and optimal control theory (Pontryagin's Maximum Principle). The sensitivity analysis shows that by increasing the public health education campaign for susceptible individuals and providing antiretroviral therapy to infected individuals in the symptomatic stage has an effect in reducing the spread of the HIV infection. The most sensitive parameter is the efficacy rate of the public health education campaign, followed by the contact rate of susceptibles with an infective in the asymptomatic stage, followed by the progression rate from the infected class into the pre-AIDS class. The least sensitive parameter is the natural death rate. The numerical simulation of both systems, i.e. with control and without control shows that the combination of the two strategies helps to make a significant reduction in the number of infectives in the asymptomatic stage, the number of individuals in the pre-AIDS stage, and the number of individuals with full-blown AIDS.
机译：使用敏感性分析和最优控制理论（Pontryagin最大原则）制定和分析了具有公共卫生教育活动和抗逆转录血针治疗的确定性数学模型和抗逆转录病毒治疗。敏感性分析表明，通过增加对易感症体的公共卫生教育运动，并为感染者提供抗逆转录病毒治疗，对症状期的感染性具有效果，对降低艾滋病毒感染的传播。最敏感的参数是公共卫生教育运动的功效率，其次是在无症状阶段感染的感染率接触率，其次是来自受感染的课程进入助剂课程的进展率。最不敏感的参数是自然死亡率。两个系统的数值模拟，即控制和没有控制表明，两种策略的组合有助于减少无症状阶段的感染率，助剂阶段中的个体数量，以及拥有全吹艾滋病的个人数量。

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