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Mathematical Modeling of the Epidemiology ofTuberculosis in the Ashanti Region of Ghana

机译:加纳阿散蒂地区结核病流行病学的数学模型

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Tuberculosis is an infectious disease which can be fatal. Hence, availability of models predicting its potential outbreak can be very useful in its preventative strategies. This paper finds the best mathematical model which fits onto the tuberculosis occurrence data of Ashanti Region of Ghana, and uses the model to predict the future epidemiology and incidence of the disease in the region to enhance anti-tuberculosis campaigns. The data used for the study was obtained from the Ashanti Health Services and spans January 2001 to March 2013. It is evident from the analysis that tuberculosis occurrence in the region studied can best be modeled with ARMA (1, 0) or AR(1), i.e. a stochastic time series linear model, and that tuberculosis epidemic in the Ashanti Region is expected to be stable between April 2013 and April 2015. The Mean Absolute Error (MAE) and the Mean Squared Error (MSE) are used to compare the in-sample forecasting performance of three selected competing models, and the result shows that it is not always true that the best selected model gives the best results so far as the mean square error (MSE) is concerned. The forecasting accuracies for the obtained model, i.e. AR (1), using MAE and MSE are respectively 16.3171 and 461.3148.
机译:结核病是一种致命的传染病。因此,预测其潜在爆发的模型的可用性可能在其预防策略中非常有用。本文找到了适合加纳阿散蒂地区结核发生数据的最佳数学模型,并使用该模型预测该地区未来的流行病学和发病率,以加强抗结核运动。该研究使用的数据来自Ashanti卫生服务部门,时间跨度为2001年1月至2013年3月。从分析中可以明显看出,研究区域的结核病发生最好用ARMA(1、0)或AR(1)进行建模。 ,即随机时间序列线性模型,预计阿散蒂地区的结核病流行在2013年4月至2015年4月之间保持稳定。我们使用平均绝对误差(MAE)和均方误差(MSE)来比较样本对三种选定竞争模型的预测性能,结果表明,就均方误差(MSE)而言,最佳选择模型并非总是能提供最佳结果。使用MAE和MSE对获得的模型即AR(1)的预测精度分别为16.3171和461.3148。

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