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建立模型以评估输入性疟疾对南非夸祖鲁-纳塔尔省消除规划的影响。

Modeling the effect of imported malaria on the elimination programme in KwaZulu-Natal province of South Africa.

机构信息

Department of Mathematics and Applied Mathematics, University of the Western Cape, Private Bag X17, Bellville 7535, South Africa.

Department of Mathematics, Southern Methodist University, Dallas, TX 75275, USA.

出版信息

Pan Afr Med J. 2024 Feb 21;47:80. doi: 10.11604/pamj.2024.47.80.35882. eCollection 2024.

Abstract

INTRODUCTION

with imported malaria cases in a given population, the question arises as to what extent the local cases are a consequence of the imports or not. We perform a modeling analysis for a specific area, in a region aspiring for malaria-free status.

METHODS

data on malaria cases over ten years is subjected to a compartmental model which is assumed to be operating close to the equilibrium state. Two of the parameters of the model are fitted to the decadal data. The other parameters in the model are sourced from the literature. The model is utilized to simulate the malaria prevalence with or without imported cases.

RESULTS

in any given year the annual average of 460 imported cases, resulted in an end-of-year season malaria prevalence of 257 local active infectious cases, whereas without the imports the malaria prevalence at the end of the season would have been fewer than 10 active infectious cases. We calculate the numerical value of the basic reproduction number for the model, which reveals the extent to which the disease is being eliminated from the population or not.

CONCLUSION

without the imported cases, over the ten seasons of malaria, 2008-2018, the KwaZulu-Natal province would have been malaria-free over at least the last 7 years of the decade indicated. This simple methodology works well even in situations where data is limited.

摘要

引言

在特定人群中出现输入性疟疾病例时,会产生一个问题,即当地病例在多大程度上是由输入病例引起的。我们对一个特定地区进行了建模分析,该地区正努力实现无疟疾状态。

方法

将十年间的疟疾病例数据进行了分组模型分析,该模型假设接近平衡状态。模型中的两个参数拟合十年数据。模型中的其他参数来自文献。该模型用于模拟有或没有输入病例的疟疾流行情况。

结果

在任何给定的年份,每年平均 460 例输入性疟疾病例导致年底季节性疟疾流行期间本地活动性传染性病例数为 257 例,而没有输入性病例的情况下,季节性疟疾流行期间的活动性传染性病例数将少于 10 例。我们计算了模型的基本繁殖数的数值,该数值揭示了疾病在多大程度上从人群中消除或未消除。

结论

在没有输入性病例的情况下,在 2008 年至 2018 年的十个疟疾季节中,夸祖鲁-纳塔尔省在过去十年的最后 7 年中至少已经无疟疾。即使在数据有限的情况下,这种简单的方法也能很好地工作。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/ea53/11068472/24c69fc049fc/PAMJ-47-80-g001.jpg

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