EFFECTS OF VACCINATION ON THE TRANSMISSION DYNAMICS OF COVID-19 IN DOUGHERTY COUNTY OF GEORGIA, USA

IF 1.3 4区 数学 Q3 BIOLOGY Journal of Biological Systems Pub Date : 2022-08-13 DOI:10.1142/s021833902250019x
Buddhi Pantha, Jemal Mohammed-Awel, N. Vaidya
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引用次数: 1

Abstract

Despite the significant progress in the development of vaccines, the COVID-19 pandemic still poses difficulty for its control because of many obstacles such as the proper implementation of vaccination, public hesitancy towards vaccines, dropping out from the second dose, and varying level of protection after the first and the second doses. In this study, we develop a novel mathematical model of COVID-19 transmission, including two separate vaccinated compartments (first dose and both doses). We parametrize and validate our model using data from Dougherty county of Georgia, USA, one of the most affected counties, where the transmission trend clearly is associated with various policies and public events. We analyze our model for stability of equilibria and persistence of the disease, and formulate expression for reproduction numbers. We estimate that the basic reproduction number in Dougherty county is 1.69, and the effective reproduction number during the study period ranges from 0.26 to 6.36. The number of daily undiagnosed cases peaked at 310 per day, resulting in the maximum number of active infectious individuals to be 2471. Our model predicts that in a high transmission scenario, the vaccination strategies should be combined with other non-pharmaceutical prevention strategies to ensure transmission control. Moreover, our results emphasize that completing both doses of vaccines on time is critical to achieve maximum benefits from the vaccination programs.
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疫苗接种对美国乔治亚州多尔蒂县COVID-19传播动态的影响
尽管疫苗开发取得了重大进展,但由于疫苗接种的正确实施、公众对疫苗的犹豫、退出第二剂接种以及第一剂和第二剂接种后保护水平不一等诸多障碍,COVID-19大流行仍给控制带来困难。在这项研究中,我们建立了一种新的COVID-19传播数学模型,包括两个单独的疫苗接种隔间(第一剂和两剂)。我们使用来自美国乔治亚州Dougherty县的数据对模型进行参数化和验证,该县是受影响最严重的县之一,其传播趋势显然与各种政策和公共事件有关。我们分析了该模型的平衡稳定性和疾病的持久性,并给出了繁殖数的表达式。我们估计道格蒂县的基本繁殖数为1.69,研究期间的有效繁殖数为0.26 ~ 6.36。每日未确诊病例数达到310例的高峰,导致活跃感染个体的最大人数为2471人。我们的模型预测,在高传播情况下,疫苗接种策略应与其他非药物预防策略相结合,以确保传播控制。此外,我们的研究结果强调,按时完成两剂疫苗接种对于实现疫苗接种计划的最大效益至关重要。
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来源期刊
CiteScore
2.80
自引率
12.50%
发文量
31
审稿时长
1 months
期刊介绍: The Journal of Biological Systems is published quarterly. The goal of the Journal is to promote interdisciplinary approaches in Biology and in Medicine, and the study of biological situations with a variety of tools, including mathematical and general systems methods. The Journal solicits original research papers and survey articles in areas that include (but are not limited to): Complex systems studies; isomorphies; nonlinear dynamics; entropy; mathematical tools and systems theories with applications in Biology and Medicine. Interdisciplinary approaches in Biology and Medicine; transfer of methods from one discipline to another; integration of biological levels, from atomic to molecular, macromolecular, cellular, and organic levels; animal biology; plant biology. Environmental studies; relationships between individuals, populations, communities and ecosystems; bioeconomics, management of renewable resources; hierarchy theory; integration of spatial and time scales. Evolutionary biology; co-evolutions; genetics and evolution; branching processes and phyllotaxis. Medical systems; physiology; cardiac modeling; computer models in Medicine; cancer research; epidemiology. Numerical simulations and computations; numerical study and analysis of biological data. Epistemology; history of science. The journal will also publish book reviews.
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