含驱蚊剂登革热传播模型的稳定性及最优控制分析

IF 0.5 Q4 COMPUTER SCIENCE, INFORMATION SYSTEMS

Communications in Mathematical Biology and Neuroscience Pub Date : 2023-01-01 DOI:10.28919/cmbn/8134

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引用次数: 0

摘要

登革热是一种重要的全球性疾病，由雌性蚊子，特别是埃及伊蚊和白纹伊蚊传播。作为控制这种疾病传播努力的一部分，使用驱蚊剂已成为一种替代方法。本研究提出了稳定性分析和最优控制登革热传播模型纳入驱蚊剂的使用。进行动力学分析，观察控制再现数对平衡点稳定性的影响。我们发现，由于治疗资源有限，控制繁殖数小于1的条件不足以保证登革热从种群中消失。通过最优控制仿真，观察在特定场景下驱蚊干预对有效减少登革热的影响。

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A stability and optimal control analysis on a dengue transmission model with mosquito repellent

Dengue fever is a significant global disease that is transmitted by female mosquitoes, specifically the Aedes aegypti and Aedes albopictus species. As part of efforts to control the spread of this disease, the use of mosquito repellent has emerged as an alternative. This research presents an analysis of the stability and optimal control of a dengue transmission model incorporating the use of mosquito repellent. Dynamical analysis conducted to see the impact of the control reproduction number on the stability of the equilibrium points. We find that due to the limited treatment resources, the condition of control reproduction number less than one is not enough to guarantee the disappearance of dengue from the population. Optimal control simulation conducted to see the impact of mosquito repellent intervention to reduce dengue effectively under some specific scenario.

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来源期刊

Communications in Mathematical Biology and Neuroscience COMPUTER SCIENCE, INFORMATION SYSTEMS-

CiteScore

2.10

自引率

15.40%

发文量

期刊介绍： Communications in Mathematical Biology and Neuroscience (CMBN) is a peer-reviewed open access international journal, which is aimed to provide a publication forum for important research in all aspects of mathematical biology and neuroscience. This journal will accept high quality articles containing original research results and survey articles of exceptional merit.