• S. O. Ogbuagada
  • A. Okolo
  • Emmanuel Torsen Modibbo Adama University, Yola
  • O. T. John
Keywords: Malaria, Multivariate, Time Series, VAR


Sub-Sahara Africa harbours most of the Malaria burden including Nigeria. There are scanty studies that aim at modelling these cases particularly in the study area. This study therefore, focused on a multivariate time series model for malaria cases among the residents in Jimeta metropolis of Adamawa State. A secondary data on reported malaria cases for adults, pregnant women and children was collected from January 2011 to December 2020 on monthly basis from medical records at the specialist Hospital, Jimeta, Yola, Adamawa State. The vector autoregressive (VAR) model was employed for modelling. A descriptive analysis was performed on the data. The lag order selection for stationary VAR model suggest lag three as the optimal lag for VAR model with malaria cases among children, adult and pregnant women. To assess how well the model fit the data set, AIC of 26.9458 for model with lag (3) was best. The Breusch-Godfrey LM test for residual serial correlation of VAR model suggest no autocorrelation at each lag, there is no problem of autocorrelation, since the associated p-value is greater than the conventional 0.05 level of significance. Jarque-Bera test shows that the residuals are not normally distributed and the forecast made showed that, rates of malaria cases are higher among adult followed by children and then pregnant women.


Abah, A.E. and Temple, B. (2017). Prevalence of Malaria Parasite among Asymptomatic
Primary School Children in Angiama Community, Bayelsa State, Nigeria, Trop Med Surg 4:203 doi:10.4172/2329-9088.1000203

Abeku, T. A., De-Vlas, S. J., Borsboom, G., Teklehaimanot, A., Kebede, A., Olana, D., Van OortmarssenG. J. & Habbema, J. D. F. (2002). Forcasting malaria incidence from historical morbidity patterns in epidemic-prone areas of Ethiopia: a simple seasonal adjustment method perfoms best. Tropical medicine and international Health
10(7): 851-857

Adebajo A.C., Famuyiwa, F.G., and Aliyu, F.A.(2014). Properties for Sourcing Nigerian Larvicidal Plants, Molecules, 19: 8363-8372

Adebayo, A.A. and Tukur A.L (eds.) (1999) Climate “I and II” in Adamawa State in Maps, Paraclete Publisher, Yola Pp20-26.

Adegboye A., Al-Saghir M. O. And Leung D. H. Y. (2016). Joint spatial time-series epidemiological analysis of malaria and cutaneous leishmaniasis infection, Cambridge University Press Epidemiol. Infect. 145, 685–700. doi:10.1017/S0950268816002764

Adenomon, M. O. and Evans, O. P. (2014) Modeling the prevalence of malaria in Niger State: An application of Poisson regression and negative binomial regression models International Journal of Physical Sciences 2(4):061-068

Anwar M.Y., Lewnard J. A., Parikh S. and Pitzer V. E., (2016). Time series analysis of malaria in Afghanistan: using ARIMA models to predict future trends in incidence, Malar J., 15:566 DOI 10.1186/s12936-016-1602-1

Bassey, S.E., and Nwakaku, I.L. (2017). Prevalence of Malaria Parasitemia among Children between 1-10 Years Old Attending Federal Medical Centre, Yenagoa, Bayelsa State, Nigeria, EC Pharmacology and Toxicology, 3(2): 43-48

Cairns, A.J.G., Blake, D., Dowd, K., Coughlan, G.D., Epstein, D., and Khalaf-Allah, M. (2011). Mortality density forecasts: an analysis of six stochastic mortality models. Insurance: Mathematics and Economics, 48, 355-367.

Dougnon, T.V., Bankole, H.S., Hounmanou, Y.M.G., Echebiri, S., Atchade, P. and Mohammed, J. (2017). Comparative Study of Malaria Prevalence among Travellers in Nigeria (West Africa) Using Slide Microscopy and a Rapid Diagnosis Test, Journal of Parasitology Research

Dowd, K., Cairns, A.J.G., Blake, D., Coughlan, G.D., Epsten, D., and Khalaf-Allah, M. (2011). A Gravity Model of Mortality Rates for Two Related Populations. North American Actuarial Journal, 15, 334-356.

Hamza, A.M., Rayah, E.A.E. and Abukashawa, S.M.A. (2014). Molecular Characterization of Mosquitoes of Anopheles gambiae Species Complex (Diptera: Culicidae) from Sudan and Republic of Southern Sudan, Journal of Mosquito Research, 4(13): 1-10

Hussien E.H. and Yong B. (2018). Time Series Analysis and Forecasting Model for Monthly Malaria Infection by Box-Jenkins Techniques in Kass Zone, South Darfur State, Sudan, Journal of Scientific and Engineering Research, 5(9):35-42

Iribhogbe O.I. and Odoya E.M. (2020). Self‐medication practice with antimalarials & the determinants of malaria treatment‐seeking behavior among postpartum mothers in a rural community in Nigeria. Pharmacoepidemiology and Drug Safety, 30(4): 435-444 doi: 10.1002/pds.5178
Jarner, S.F., and Kryger, E.M. (2011). Modelling Adult Mortality in Small Populations: The SAINT Model. ASTIN Bulletin, 41, 377-418.

Johansen, S. (1988). Statistical analysis of cointegration vectors, Journal of Economic Dynamics and Control 12(1):231-254

Johansen, S. and Juselius, K. (1990). Maximum Likelihood Estimation and Inference on Cointegration with Applications to demand for Money. Oxford Bulletin of Economics and Statistics 52:169-210

Kuhe D.A., Egemba R.C. & Torruam T.J. (2015). Modeling the transmission dynamics of malaria incidence in Nigeria. Journal of Mathematics and Computer Applications Research, 2(2): 1-16

Laari P. B., (2011): "spatial analysis of malaria epidemiology in the amanse west District Ghana". Kwame Nkrumah University of Science and Technology, Department of geomatic Engineering, Unpublished Thesis.

Li, J.S.H., and Hardy, M.R. (2011). Measuring Basis Risk in Longevity Hedges. North American Actuarial Journal, 15, 177-200.

NPC, (2006). Population and housing census: Enumerators manual. National Population Commission (NPC), Federal Republic of Nigeria, pp: 1-16.

Owoeye, J.A., Akawa, O.B., Akinneye, J.O., Oladipupo, S.O., Akomolede, O.E. (2016).
Toxicity of Three Tropical Plants to Mosquito Larvae, Pupae and Adults, Journal of Mosquito Research, 6(16): 1-7

Sarki, A., Pukuma, M. S., Yoriyo, K. P., Kunihya, I. Z., Hafizu, M. S., Kolawole, A. A., Haruna, M. Y., & Ali, R. (2019). Study on malaria infection in pregnant women attending primary health care centres in Gombe metropolis, Gombe State, Northeast, Nigeria, FUDMA Journal of Sciences 3(4): 90 –97.

Sims, C. A. (1980). Macroeconomics and Reality. Econometrica 48(1):1-48

Zhou, R., Li, J.S.-H., and Tan, K.S. (2013). Pricing mortality risk: A two-population model with transitory jump effects. Journal of Risk and Insurance, 80, 733-774.
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