Herpes simplex virus type 2 (HSV-2) is the most prevalent sexually transmitted infection in the world, despite the availability of effective anti-viral treatments. A mathematical model to explore the association between gender and HSV-2 treatment adherence is developed. Threshold parameters are determined and stabilities analyzed. Sensitivity analysis of the reproduction number and the numerical simulations suggest that treatment adherence for both females and males are equally important in keeping the reproduction as low as possible. The basic model is then extended to incorporate time-dependent intervention strategies. The Pontryagin's Maximum Principle is used to characterize the optimal level of the controls, and the resulting optimality system is solved numerically.

中文翻译：

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性别与 HSV-2 治疗依从性之间关联的计算和理论分析

尽管有有效的抗病毒治疗方法，但 2 型单纯疱疹病毒 (HSV-2) 是世界上最普遍的性传播感染。开发了一个数学模型来探索性别与 HSV-2 治疗依从性之间的关联。确定阈值参数并分析稳定性。繁殖数量的敏感性分析和数值模拟表明，雌性和雄性的治疗依从性对于保持尽可能低的繁殖同样重要。然后扩展基本模型以纳入依赖于时间的干预策略。庞特里亚金最大原理用于表征控制的最优水平，并以数值方式求解得到的最优系统。