柱头影响下外源性再感染结核模型的最优控制

Q2 Mathematics
Remilou F. Liguarda, Randy L. Caga-anan, Wolfgang Bock
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引用次数: 0

摘要

摘要结核病经常被描述为世界上最致命的传染病,在世界许多地区,特别是在发展中国家,它仍然是一个严重的健康威胁。阻碍结核病患者寻求和完成医疗护理的社会障碍之一是污名化。在这项研究中,我们结合了冯等人2000年发表的一个模型的污名化。我们获得了基本繁殖数,并显示了根据再感染阈值存在多重地方病平衡的条件。该模型预测,随着污名化程度的增加,基本繁殖数量将显著增加。我们使用最优控制理论来研究控制措施对抗污名化的效果,并将这些控制措施与通常的控制措施进行比较,如改善治疗和尽量减少再次感染。模拟显示,尽管污名化控制是有帮助的,但它们不足以成功控制疾病。所有控制措施的组合将是理想的,并且随着时间的推移,根据实施的感知成本,给出了一些最佳的执行率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Optimal Control for a Tuberculosis Model with Exogenous Reinfection under the Influence of Stigma
Abstract Often described as the world’s most deadly infectious disease, Tuberculosis remains a serious health threat in many parts of the world, especially in the developing countries. One of the social barriers hindering TB patients to seek and complete medical attention is stigmatization. In this study, we incorporated stigmatization on a model published by Feng et al. last 2000. We obtained the basic reproduction number and showed conditions where multiple endemic equilibrium will exist depending on a reinfection threshold. The model predicted a significant increase in the basic reproduction number as the level of stigmatization increases. We used optimal control theory to investigate the effect of controls to combat stigmatization and compare these controls with the usual controls such as improving treatment and minimizing reinfection. Simulations show that although stigmatization controls are helpful, they are not enough to successfully control the disease. A combination of all the controls will be ideal and some optimal rates of doing it over time are given, depending on the perceived cost of implementation.
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来源期刊
Computational and Mathematical Biophysics
Computational and Mathematical Biophysics Mathematics-Mathematical Physics
CiteScore
2.50
自引率
0.00%
发文量
8
审稿时长
30 weeks
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