Modelling the Impact of Vaccination on Malaria Transmission

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Abstract

Vaccination offers a potential contribution to malaria control, particularly for vulnerable populations such as children under five. Mathematical modeling provides a structured approach to examining how vaccination may influence transmission and disease burden over time. This study aimed to investigate the impact of vaccination on malaria transmission dynamics by incorporating vaccination as a control measure into a modified mathematical model. Analytical and numerical approaches were employed to examine the model’s behavior and assess the implications of vaccination for disease transmission. Linearization and the next-generation matrix approach were used to investigate stability and transmission dynamics, while numerical simulations illustrated changes in susceptibility and disease incidence over time. The model results indicated that vaccination reduced the number of susceptible individuals, contributing to lower transmission and a subsequent decline in modeled incidence. These findings suggest that vaccination can influence the progression of malaria within the conditions represented by the model. The analysis provides a theoretical basis for examining vaccination as part of malaria control planning and highlights its potential relevance to protecting populations at elevated risk. However, the results represent model-based predictions, and their practical interpretation depends on the underlying assumptions and parameter values. Further research should calibrate the model using setting-specific epidemiological data, evaluate parameter uncertainty, and compare alternative vaccination strategies. Additional investigation could also examine how vaccination interacts with other malaria control measures and whether predicted reductions correspond to observed outcomes. The study concludes that incorporating vaccination into transmission models can support the assessment of potential control benefits and inform questions for subsequent empirical evaluation. Its contribution lies in linking vaccination-related changes in susceptibility with the modeled trajectory of malaria transmission and incidence.

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Article Details

How to Cite
Wunuji, A. S., Kurutsi, S., & Garba, B. A. (2026). Modelling the Impact of Vaccination on Malaria Transmission. Mikailalsys Journal of Mathematics and Statistics, 4(3), 777-802. https://doi.org/10.58578/mjms.v4i3.10385

References

Abioye, A. I., Ibrahim, M. O., Peter, O. J., & Ogunseye, H. A. (2020). Optimal control on a mathematical model of malaria. U.P.B. Scientific Bulletin, Series A: Applied Mathematics and Physics, 82(3), 177–190.

Alonso, P. L., & Tanner, M. (2013). Public health challenges and prospects for malaria control and elimination. Nature Medicine, 19(2), 150–155. https://doi.org/10.1038/nm.3077

Anjorin, S., Okolie, E., & Yaya, S. (2023). Malaria profile and socioeconomic predictors among under-five children: An analysis of 11 sub-Saharan African countries. Malaria Journal, 22, Article 55. https://doi.org/10.1186/s12936-023-04484-8

Bhatt, S., Weiss, D. J., Cameron, E., Bisanzio, D., Mappin, B., Dalrymple, U., Battle, K. E., Moyes, C. L., Henry, A., Eckhoff, P. A., Wenger, E. A., Briët, O., Penny, M. A., Smith, T. A., Bennett, A., Yukich, J., Eisele, T. P., Griffin, J. T., Fergus, C. A., … Gething, P. W. (2015). The effect of malaria control on Plasmodium falciparum in Africa between 2000 and 2015. Nature, 526(7572), 207–211. https://doi.org/10.1038/nature15535

Blackwood, J. C., & Childs, L. M. (2018). An introduction to compartmental modeling for the budding infectious disease modeler. Letters in Biomathematics, 5(1), 195–221. https://doi.org/10.1080/23737867.2018.1509026

Collins, O. C., & Duffy, K. J. (2022). A mathematical model for the dynamics and control of malaria in Nigeria. Infectious Disease Modelling, 7(4), 728–741. https://doi.org/10.1016/j.idm.2022.10.005

Dondorp, A. M., & White, N. J. (2019). The interplay between Plasmodium biology and antimalarial drug resistance [Publication record unverified]. Journal of Microbiology, Immunology and Infection, 52(6), 905–912.

Eikenberry, S. E., & Gumel, A. B. (2018). Mathematical modeling of climate change and malaria transmission dynamics: A historical review. Journal of Mathematical Biology, 77(4), 857–933. https://doi.org/10.1007/s00285-018-1229-7

Elliott, R. C., Smith, D. L., & Echodu, D. (2018). Medical and entomological malarial interventions, a comparison and synergy of two control measures using a Ross/Macdonald model variant and openmalaria simulation. Mathematical Biosciences, 300, 187–200. https://doi.org/10.1016/j.mbs.2018.04.005

Gomes, M. F., Faiz, M. A., Gyapong, J. O., Warsame, M., Agbenyega, T., Babiker, A., Baiden, F., Yunus, E. B., Binka, F., Clerk, C., Folb, P., Hassan, R., Hossain, M. A., Kimbute, O., Kitua, A., Krishna, S., Makasi, C., Mensah, N., Mrango, Z., … White, N. J. (2009). Pre-referral rectal artesunate to prevent death and disability in severe malaria: A placebo-controlled trial. The Lancet, 373(9663), 557–566. https://doi.org/10.1016/S0140-6736(08)61734-1

Guerra, C. A., Hay, S. I., Lucioparedes, L. S., Gikandi, P. W., Tatem, A. J., Noor, A. M., & Snow, R. W. (2007). Assembling a global database of malaria parasite prevalence for the Malaria Atlas Project. Malaria Journal, 6, Article 17. https://doi.org/10.1186/1475-2875-6-17

Killeen, G. F., & Tatarsky, A. (2018). Diagnostics for control and elimination of malaria: Current tools and future strategies [Publication record unverified]. Advances in Parasitology, 99, 345–382.

Muller, G. C., Peper, S., & Xue, R.-D. (2023). Practical control methods and new techniques for mosquito control [Author order and pagination require verification because publication records conflict]. In P. Ghaffari (Ed.), Bio-mathematics, statistics, and nano-technologies: Mosquito control strategies. CRC Press. https://doi.org/10.1201/9781003035992-1

Ndamuzi, E., & Gahungu, P. (2021). Mathematical modeling of malaria transmission dynamics: Case of Burundi. Journal of Applied Mathematics and Physics, 9(10), 2447–2460. https://doi.org/10.4236/jamp.2021.910156

Oke, S. I., Ojo, M. M., Adeniyi, M. O., & Matadi, M. B. (2020). Mathematical modeling of malaria disease with control strategy. Communications in Mathematical Biology and Neuroscience, 2020, Article 43. https://doi.org/10.28919/cmbn/4513

Olaniyi, S., Okosun, K. O., Adesanya, S. O., & Areo, E. A. (2018). Global stability and optimal control analysis of malaria dynamics in the presence of human travelers. The Open Infectious Diseases Journal, 10(1), 166–186. https://doi.org/10.2174/1874279301810010166

Pimenta, P. F. P., Orfano, A. S., Bahia, A. C., Duarte, A. P. M., Ríos-Velásquez, C. M., Melo, F. F., Pessoa, F. A. C., Oliveira, G. A., Campos, K. M. M., Villegas, L. M., Rodrigues, N. B., Nacif-Pimenta, R., Simões, R. C., Monteiro, W. M., Amino, R., Traub-Cseko, Y. M., Lima, J. B. P., Barbosa, M. G. V., Lacerda, M. V. G., … Secundino, N. F. C. (2015). An overview of malaria transmission from the perspective of Amazon Anopheles vectors. Memórias do Instituto Oswaldo Cruz, 110(1), 23–47. https://doi.org/10.1590/0074-02760140266

Sow, D., Johnson, F. B., Samba, A., Diop, B. M., Badiane, S., Pradines, B., … Gaye, O. (2021). Use of high-dose intravenous artesunate in severe malaria patients in intensive care unit in Dakar, Senegal: An observational cohort study [Publication record and complete author list unverified]. Malaria Journal, 20(1), 1–11.

Stuckey, E. M., Miller, J. M., Littrell, M., Chitnis, N., & Steketee, R. (2016). Operational strategies of anti-malarial drug campaigns for malaria elimination in Zambia’s southern province: A simulation study. Malaria Journal, 15, Article 148. https://doi.org/10.1186/s12936-016-1202-0

Sturrock, H. J. W., Hsiang, M. S., Cohen, J. M., Smith, D. L., Greenhouse, B., Bousema, T., & Gosling, R. D. (2013). Targeting asymptomatic malaria infections: Active surveillance in control and elimination. PLOS Medicine, 10(6), Article e1001467. https://doi.org/10.1371/journal.pmed.1001467

Tadesse, F. G., Slater, H. C., Chali, W., Teelen, K., Lanke, K., Belachew, M., Menberu, T., Shumie, G., Shitaye, G., Okell, L. C., Graumans, W., van Gemert, G.-J., Kedir, S., Tesfaye, A., Belachew, F., Abebe, W., Mamo, H., Sauerwein, R., Balcha, T., … Bousema, T. (2018). The relative contribution of symptomatic and asymptomatic Plasmodium vivax and Plasmodium falciparum infections to the infectious reservoir in a low-endemic setting in Ethiopia. Clinical Infectious Diseases, 66(12), 1883–1891. https://doi.org/10.1093/cid/cix1123

Tchoumi, S. Y., Chukwu, C. W., Diagne, M. L., Rwezaura, H., Juga, M. L., & Tchuenche, J. M. (2023). Optimal control of a two-group malaria transmission model with vaccination. Network Modeling Analysis in Health Informatics and Bioinformatics, 12(1), Article 7. https://doi.org/10.1007/s13721-022-00403-0

World Health Organization. (2022). WHO guidelines for malaria, 18 February 2022 (WHO/UCN/GMP/2022.01). https://iris.who.int/handle/10665/351995

Zhao, Z., Li, S., & Lu, Y. (2022). Mathematical models for the transmission of malaria with seasonality and ivermectin. Electronic Journal of Differential Equations, 2022, Article 28. https://doi.org/10.58997/ejde.2022.28