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Asymptomatic carriers in transmission dynamics of dengue with control interventions

机译：控制干预率登革热传输动态的无症状载体

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摘要

In this paper, we introduce a dengue disease transmission model with symptomatic and asymptomatic infectious classes. We obtain the threshold dynamics governed by the basic reproduction number of the system. We obtain sensitivity analysis of threshold dynamics to recognize the dominant factors that seriously affect the dengue infection. It has been shown that the biting rate and the rate of asymptomatic cases are more sensitive to the basic reproduction number, and predicts that control of mosquito size plays an essential role in reducing equilibrium level of dengue infection. Hence, the use of mosquito nets and control of population size of mosquitoes are highly suggested to the public. We use optimal control theory to help the public health personnel and biologists to adopt better understanding of the modeling strategies to control dengue fever. We apply preventive control, treatment, and insecticide spray to reach the desire objectives; moreover, the existence of the proposed optimal control problem is established analytically and achieves necessary conditions for optimal controls. The simulations obtained suggested that control measures such as mosquito eradication and preventive strategies effectively eradicate and control dengue infections during the epidemic.
机译：在本文中，我们介绍了一种具有症状和无症状传染性课程的登革热疾病传输模型。我们获得由系统的基本再现号码管理的阈值动态。我们获得阈值动态的敏感性分析，以识别严重影响登革热感染的主导因素。已经表明，咬合率和无症状病例的速率对基本的再现数更敏感，并且预测蚊子尺寸的控制在降低登革热感染的平衡水平方面起着重要作用。因此，对公众建议使用蚊帐和蚊子种群规模的控制。我们使用最优控制理论来帮助公共卫生人员和生物学家采取更好地了解控制登革热的建模策略。我们应用预防控制，治疗和杀虫剂喷雾以达到欲望目标;此外，在分析上建立了所提出的最佳控制问题的存在，并实现了最佳控制的必要条件。获得的模拟表明，蚊子根除和预防策略等控制措施有效地消除了流行病中的登革热感染。

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