Flexible parametric modeling of malaria survival:Application to Burkina Faso
DOI:
https://doi.org/10.5281/zenodo.22668966Keywords:
Malaria; survival analysis; parametric models; Weibull model; prognostic factors; Burkina FasoAbstract
Objectives: Severe malaria remains a major cause of childhood mortality in sub-Saharan Africa.
Identifying prognostic factors associated with death among hospitalized children is therefore an
important public health priority. This study aimed to identify the parametric model that best describes
hospital survival among children with severe malaria and to determine the clinical factors associated
with death.
Methods: We analyzed a cohort of 444 children aged 1–59 months who were hospitalized for confirmed
malaria at Dori Regional Hospital, Burkina Faso. Five parametric survival models were fitted and
compared: Exponential, Weibull, three-parameter Weibull, Beta-Weibull, and modified Beta-Weibull
models. Model performance was assessed using the Akaike information criterion (AIC) and Bayesian
information criterion (BIC). A simulation study was conducted to assess estimator stability. Clinical
factors associated with death were investigated using the selected model under an accelerated failure
time (AFT) formulation.
Results: The three-parameter Weibull model provided the best fit (AIC = 595.11; BIC = 607.40). Its
shape parameter was k = 0.912, indicating a decreasing hazard. The estimated threshold parameter was
approximately one day. The Beta-Weibull and modified Beta-Weibull models showed identifiability
problems. In the multivariable analysis, respiratory distress (TR = 0.209; p < 0.001) and shock (TR =
0.147; p < 0.001) were the factors most strongly associated with shorter survival times. These findings
correspond to reductions of 79% and 85% in survival time, respectively.
Conclusions: Flexible parametric modeling, particularly the three-parameter Weibull model, provided a suitable framework for characterizing hospital mortality among children with severe malaria.Respiratory distress and shock were major warning signs and may warrant early intensive management.
References
[1] World Health Organization. World Malaria Report 2025. Geneva: World Health Organization; 2025.
[2] Severe Malaria Observatory. Malaria in Burkina Faso: Statistics & Facts [Internet]. 2026 [cited 2026 Aug 17]. Available from: https://www.severemalaria.org/countries/burkina-faso
[3] Dango JR, Traore IT, Meda ZC, Ouattara CA, Kpadonou DM, Ouedraogo LAR, Savadogo LGB. Prognostic factors for death in patients hospitalised with malaria in pediatric units at the regional hospital centre in Dori, Burkina Faso. BMC Infect Dis. 2025;25:498.
[4] Dango JR, Traore IT, Ouattara CA, et al. Determinants of mortality in children aged 1–59 months hospitalised with malaria in Burkina Faso’s Sahel region: evidence from the Dori regional hospital centre [preprint]. Research Square; 2025. doi:10.21203/rs.3.rs-7294808/v1.
[5] Fenta HM, Chen DG, Zewotir TT, Rad NN, Belay DB, Yilema SA. Comparisons of Cox semi-parametric and parametric shared frailty models: application for under-five children survival in sub-Saharan Africa. BMC Public Health. 2025;25:2884.
[6] Okonek T, Wilson K, Wakefield J. A parametric survival model for child mortality using complex survey data. Demogr Res. 2025;53:821–896.
[7] Jumi LGL, Mohmmed AOA. A Cox proportional hazards model approach to identifying malaria risk factors in children in South Sudan. Cureus. 2025;17(12):e99083.
[8] Klein JP, Moeschberger ML. Survival Analysis: Techniques for Censored and Truncated Data. 2nd ed. New York: Springer; 2003.
[9] Kalbfleisch JD, Prentice RL. The Statistical Analysis of Failure Time Data. 2nd ed. Hoboken: Wiley; 2002.
[10] Famoye F, Lee C, Olumolade O. The beta-Weibull distribution. J Stat Theory Appl. 2005;4(2):121–136.
[11] Cordeiro GM, Simas AB, Stošić BD. Closed form expressions for moments of the beta Weibull distribution. An Acad Bras Cienc. 2011;83(2):357–373.
[12] Khan MN. The modified beta Weibull distribution. Hacettepe J Math Stat. 2015;44(6):1553–1568.
[13] Akaike H. A new look at the statistical model identification. IEEE Trans Automat Contr. 1974;19(6):716–723.
[14] Schwarz G. Estimating the dimension of a model. Ann Stat. 1978;6(2):461–464.
Downloads
Published
Issue
Section
License
Copyright (c) 2026 Spectrum of Engineering and Management Sciences

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Author(s) and co-author(s) jointly and severally represent and warrant that the Article is original with the author(s) and does not infringe any copyright or violate any other right of any third parties and that the Article has not been published elsewhere. Author(s) agree to the terms that the SEMS Journal will have the full right to remove the published article on any misconduct found in the published article.

