A CONTINUOUS SPATIAL AND TEMPORAL MATHEMATICAL MODEL FOR ASSESSING THE DISTRIBUTION OF DENGUE IN BRAZIL WITH CONTROL

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-05-26 DOI:10.1142/s0218339023300026

Fernando Luiz Pio DOS SANTOS, M. Bendahmane, Elmahdi Erraji, Fahd Karami

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Abstract

In this paper, we developed an optimal control of a reaction–diffusion mathematical model, describing the spatial spread of dengue infection. Compartments for human and vector populations are considered in the model, including a compartment for the aquatic phase of mosquitoes. This enabled us to discuss the vertical transmission effects on the spread of the disease in a two-dimensional domain, using demographic data for different scenarios. The model was analyzed, establishing the existence and convergence of the weak solution for the model. The convergence of the numerical scheme to the weak solution was proved. For numerical approximation, we adopted the finite element scheme to solve direct and adjoint state systems. We also used the nonlinear gradient descent method to solve the optimal control problem, where the optimal management of government investment was proposed and leads to more effective dengue fever infection control. These results may help us understand the complex dynamics driven by dengue and assess the public health policies in the control of the disease.

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用于评估登革热在巴西分布的连续时空数学模型

在本文中，我们开发了一个反应-扩散数学模型的最优控制，描述了登革热感染的空间传播。模型中考虑了人类和媒介种群的隔间，包括蚊子水生阶段的隔间。这使我们能够使用不同场景的人口统计数据，在二维领域讨论垂直传播对疾病传播的影响。对模型进行了分析，建立了模型弱解的存在性和收敛性。证明了数值格式对弱解的收敛性。对于数值逼近，我们采用有限元格式来求解直接和伴随状态系统。我们还使用非线性梯度下降方法来解决最优控制问题，其中提出了政府投资的最优管理，并导致更有效的登革热感染控制。这些结果可能有助于我们了解登革热驱动的复杂动态，并评估控制该疾病的公共卫生政策。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.