Nonseasonal ARIMA Modeling and Forecasting of Malaria Cases in Children under Five in Edum Banso Sub-district of Ghana
Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 4, Issue 3
Abstract
Approximately sixty-nine percent of deaths globally resulting from malaria infection occur in children under five years of age [1]. National control and prevention strategies will be greatly enhanced through better ability to forecast future trends in the disease incidence. This study sought to develop a five year forecasting model for malaria incidence among children under the age of five in the Edum Banso sub- district of Ghana. A secondary monthly malaria incidence record data spanning the period of 2008-2013 was used to develop the model formulated. The Box and Jenkins ARIMA methodology was employed to obtain the best fitting model by comparing the normalized BIC, MAE and Stationary-R Square values, and Q -plots of residuals of the suggested models. Comparative analysis showed that ARIMA (1, 1, 2) has best performance. The five year forecast showed a linear trend angled diagonally up. This means malaria cases in children under five in the Edum Banso sub-district of Ghana will increase steadily over the next five years (2013-2018). The high value of the Stationary-R Square 0.792 or 79.2% is an indication that 79.2% of the variation in the malaria cases can be explained by the data. The study suggests that the department of disease control and prevention in Ghana uses ARIMA (1, 1, 2) model to optimize malaria prevention by providing estimates on malaria morbidity among children under the age of five in the Edum Banso sub-district.
Authors and Affiliations
Senyefia Bosson-Amedenu Bosson-Amedenu
A Simple SEIR Mathematical Model of Malaria Transmission
We have studied an SEIR mathematical model, and applied it to malaria transmission. We discussed the existence and stability of the Disease-Free (DFE) and Endemic Equilibria (EE) of both models. The (DFE) was locally asy...
Levels, Differentials and Key Determinants of Under-five Mortality in Ghana
Aims: The disparity in under-five mortality between rural and urban areas in Ghana and other sub-Saharan African countries is a critical national concern. The main purpose of this study is to identify and analyze the lev...
Dynamic Response of Non-prismatic Bernoulli Euler Beam with Exponentially Varying Thickness Resting on Variable Elastic Foundation
In this paper, the motion of a non-prismatic Bernoulli-Euler beam with exponentially varying thickness resting on variable elastic foundation and under the loads moving with constant velocity is analyzed. The governing e...
A Markov Chain Model Approach to Study Academic Promotions in Ghanaian Universities
Promotions of academic staff in universities and analogous institutions remain crucial to the attainment of economic, environmental and societal objectives nationally and globally. Notwithstanding the benefits to institu...
Computational Method for the Determination of Forced Motions in Mass-spring Systems
In this paper, we propose a computational method for the determination of forced motions in mass-spring systems. The method of interpolation and collocation of Hermite polynomial (as basis function) was adopted to genera...