中国采用预防性治疗和疫苗接种策略的结核病传播动态建模与分析

IF 4.4 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Applied Mathematical Modelling Pub Date : 2024-10-29 DOI:10.1016/j.apm.2024.115779
Kailong Zhao , Zhijun Liu , Caihong Guo , Huili Xiang , Lili Liu , Lianwen Wang
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引用次数: 0

摘要

在中国,约 3.5 亿潜伏肺结核感染者(LTBI)是结核病新发病例的主要来源,同时,由于疫苗失效的机制,为新生儿和五岁以下儿童接种卡介苗并不能完全遏制结核病的流行。广泛的结核病预防性治疗(TPT)和新的疫苗接种策略有望成为终结结核病的解决方案。本研究在一个非线性年龄结构的 SVEIR 模型中,采用非指数停留时间的 TPT 和疫苗接种策略,利用干预措施来终结中国的结核病。全局稳定性分析表明,目标模型在基本繁殖数方面保留了阈值动态,从而扩展了一些现有结果,此外,该模型还被用于拟合中国的结核病例数据。此外,对地方性稳态的敏感性分析表明,四种可能可行的干预措施(即通过限制感染者的活动范围、缩短患者的治疗时间、卡介苗再接种和提高 TPT 的接种率来扩大对感染者的抑制作用)可以降低地方性稳态下感染者的稳定水平,并推迟其到达时间。最后,我们通过模拟实验比较了由这些干预措施组成的几种多元策略。我们得出的结论是,如果卡介苗再接种、TPT 持续时间为 2 个月且完成率为 40%,那么仅靠中等强度的多方面策略就能实现中国 2035 年终结结核病战略的目标。这项调查揭示了新型 TPT 和疫苗接种策略的潜在应用前景。
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Modeling and analysis of transmission dynamics of tuberculosis with preventive treatment and vaccination strategies in China
In China, approximately 350 million people with latent tuberculosis infection (LTBI) are the major source of new TB cases, meanwhile, BCG vaccination for newborns and children under five fails to fully arrest the TB epidemic due to the mechanisms of vaccine failure. It is expected that widespread TB preventive treatment (TPT) and new vaccination strategies may be solutions to end TB. This work allows for TPT and vaccination strategies in a nonlinear age-structured SVEIR model with nonexponential residence times to exploit the interventions for ending TB in China. Global stability analysis reveals that the target model preserves the threshold-value dynamics in terms of the basic reproduction number so that some existing results are extended, moreover, the model is applied to fit the data of TB cases in China. Furthermore, sensitivity analysis for endemic steady state suggests that four potentially feasible interventions (i.e., amplifying the inhibition effect of infectious individuals by limiting range of their mobility, shortening the treatment duration for patients, adopting BCG revaccination and enhancing the rate of TPT) can lower the steady level of infectious individuals at endemic steady state and delay its arrival time. Finally, several multifaceted strategies composed of these interventions are compared via emulational experiments. We conclude that the target of End TB Strategy by 2035 in China would be reached just by the multifaceted strategy with moderate intensity if BCG revaccination, the duration of TPT for 2 months and a 40% completion rate are realized. This investigation sheds light on the fantastic potential applications of new TPT and vaccination strategies.
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来源期刊
Applied Mathematical Modelling
Applied Mathematical Modelling 数学-工程:综合
CiteScore
9.80
自引率
8.00%
发文量
508
审稿时长
43 days
期刊介绍: Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.
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