American Journal of Applied Mathematics and Statistics
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American Journal of Applied Mathematics and Statistics. 2018, 6(4), 170-175
DOI: 10.12691/ajams-6-4-7
Open AccessArticle

On Time Domain Analysis of Malaria Morbidity in Nigeria

Adeboye Nureni Olawale1, and Ezekiel Imekela Donaldson1

1Department of Mathematics & Statistics, Federal Polytechnic, Ilaro, Nigeria, P.M.B 50

Pub. Date: September 03, 2018

Cite this paper:
Adeboye Nureni Olawale and Ezekiel Imekela Donaldson. On Time Domain Analysis of Malaria Morbidity in Nigeria. American Journal of Applied Mathematics and Statistics. 2018; 6(4):170-175. doi: 10.12691/ajams-6-4-7


That malaria contributes substantially to the poor health situation in Africa is an understatement. To help government in the continuous provision of necessary measures needful to curb increasing spread of the parasites, there is a need to build an appropriate time domain model which can be used to forecast the future rate of spread. As a result of this, ARIMA model was built for analyzing the secondary data collected on the incidence of malaria. It was discovered that the data was not stationary and stationarity was achieved through 2nd order differencing. The ACF and PACF of the differenced data suggested possible models for selection. AIC and MSE were used to select the models that really provided a best fit for the time series. From various ARIMA models generated, ARIMA model was found to best fit the malaria data. Ljung-Box test and Shapiro-Wilk test met all necessary conditions for independence and normality. The model was used for forecast and it was observed that there is going to be a steady increase in malaria prevalence.

autocorrelation function partial autocorrelation function stationarity malaria morbidity ARIMA

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[1]  World Health Organization (1999). World Health Report, 1999; making a Difference. http:/
[2]  WHO/UNICEF, (2003). Africa Malaria Report. WHO/CDS/MAL/2003. 1093.2003. Geneva.
[3]  Reeder J.C. (2001). Towards a Malaria Vaccine for Papua New Guinea. PNG Med J, 44, 17-23.
[4]  Sudhakar, P., and Subramani, P., (2007). “Literature Review: Insights into Formulating a Protective Malaria Medicine, Journal of Young Investigators”, Volume 16, Issue 1.
[5]  Houeto, D., D‟Hoore, W., Ouendo, E. M., Charlie, D. and Deccache, A., (2007). “Malaria control among children under five in sub-Saharan Africa: the role of empowerment and parents‟ participation besides the clinical strategies”.
[6]  Durueke A.P. (2005). A Research on the incidence, management and bionomic of Malaria in Children under 5years of age, in parts of Isiala Mbano L.G.A., Imo State, Nigeria. Unpublished research work.
[7]  Gerristsen, A.; Kruger P; Van der Leo, M. and Grobusch, M. (2008). ‘Malaria incidence in Limpopo Province, South Africa, 1998-2007’, Malaria Journal. 7(1). http://www.malariajournal.
[8]  Ayeni, A. O. (2011). Malaria Morbidity in Akure, Southwest Nigeria: A Temporal observation in Climate Change scenario. Trends Applied Sci. (Res. 6): 488-494.
[9]  Korenromp, E and Kiniboro. B. (2007). Forecasting Malaria incidence estimates at Burundi Country Level for the year 1997 t0 2003 draft report. http://www. W.H.O. Int/malaria/publications/ atoz/ incidence estimation2.
[10]  Opara K.R, (2001) “The effects of malaria during pregnancy on infant mortality in Abia State Nigeria Between 1993 and 1999”. An unpublished B.Sc. Project submitted to the department of Statistics .Abia State University, Uturu, Abia State.
[11]  Adebola P. A. and Okereke R.W. (2007). Increasing Burden of childhood severe Malaria in Nigeria Tertiary Hospital from 2000 to 2005: An unpublished research work.
[12]  Coene, J. (1991). Prospects for Malaria Control in Urban and Rural Kinshasa. Ann. Soc. Belg. Med. Trop., 71 (1). 103-112.
[13]  Baird, J. K.; Owusu Agyei S; Utz G.C.; Koram, K; Barcus M.J.; Jones, T.R.; Fryauff, D.F. Binka, F.N.; Hoffman, S.L.; Nkruma, F.N. (2002). Seasonal Malaria attack rates in infants and young children in Northern Ghana. Naval Medical Research center, Silver Spring, Maryland, USA.
[14]  Wilson, M.L., (2001). “Ecology and Infectious Disease.” In Ecosystem Change and Public Health. The Johns Hopkins University Press: Baltimore, MD: 285-291.
[15]  Reed, S.D., Laxminarayan, R., Black, D.J., and Sullivan, S.D., (2002). “Economic issues and antibiotic resistance in the community.” The Annals of Pharmacotherapy, 36(1): 148-54.
[16]  Guerin, P. J., Olliaro, P., Nosten, F., Druilhe, P., Laxminarayan, R., Binka, F., Kilama, W.L., Ford, Guerrero, V. M., (2003). “Análisis estadístico de series de tiempo económicas”, Segunda edición, México.
[17]  Pattanayak, S.K., Mercer D.E., Sills, E. and Yang, J. C. (2003). “Taking Stock of the Agroforestry Adoption Studies”, Agroforestry Systems 57 (3): 173-186.
[18]  Lindsay W. S and Birley M., (2004). “Rural Development and Malaria Control in Sub- Sahara Africa”, EcoHealth, Springer New York, Volume 1 Number 2. pp 129-137.
[19]  Nchinda, T.C. (2005). “Malaria: A Reemerging Disease in Africa”, World Health Organization, Geneva.
[20]  Sulaiman, S., (2007). How is climate change shifting Africa’s malaria map? http// Accessed on Friday, 9 October 2009.
[21]  Wiwanitkit V. (2006). Hellenic Society of Haematology, “Correlation between Prevalence of Malaria and Altitude, a Case Study in a Rural Endemic area of Thailand”, HAEMA 2006; 9(1). pp 56-58.
[22]  Streeten P. (1981). First thing first; meeting basic human needs in developing countries. The World Bank. Washington.