Optimal control analysis of a malaria transmission model with applications to Democratic Republic of Congo

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Jinhui Li, M. Osman, Z. Teng
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引用次数: 0

Abstract

In this paper, a dynamical model of malaria transmission with vector-bias and timedependent controls is investigated. The controls include the RTS,S malaria vaccine, using insecticide-treated mosquito net, treatment of infectious human, and indoor spraying. For constant controls, the existence and stability of equilibrium, as well as the existence of backward bifurcation, are obtained. The sensitivity analysis quantifies the impact of parameters and controls on the basic reproduction number. For time-dependent controls, by using the Pontryagin’s maximum principle the existence and expression of optimal controls are established. As an application of the model and control strategies, the malaria transmission and controls in Democratic Republic of Congo are discussed. To be specific, we simulate the reported cases of Democratic Republic of Congo by World Health Organization and predict the trends. Cost-effectiveness analysis and numerical simulations show that combining all controls can minimize the number of infected humans to the full extent, using insecticide-treated mosquito net is the most cost-effectiveness strategy, combining RTS,S malaria vaccine with using insecticide-treated mosquito net and treatment of infectious human is also cost-effective among all the strategies with good effect.
疟疾传播模型的最优控制分析及其在刚果民主共和国的应用
本文研究了具有媒介偏差和时间依赖控制的疟疾传播动力学模型。控制措施包括接种RTS,S型疟疾疫苗,使用经杀虫剂处理的蚊帐,治疗有传染性的人,以及室内喷洒。对于常数控制,得到了平衡的存在性和稳定性,以及后向分岔的存在性。灵敏度分析量化了参数和控制对基本再现数的影响。对于时变控制,利用庞特里亚金极大值原理,建立了最优控制的存在性和表达式。作为模型和控制策略的应用,讨论了刚果民主共和国的疟疾传播和控制。具体而言,我们模拟了世界卫生组织报告的刚果民主共和国病例,并预测了趋势。成本-效果分析和数值模拟结果表明,综合多种防治措施可以最大限度地减少感染人数,使用驱虫蚊帐是最具成本-效果的策略,将RTS、S型疟疾疫苗与使用驱虫蚊帐和治疗感染人相结合也是性价比最高的策略,效果良好。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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