Analysis of a Mathematical Model for Malaria Transmission with Vaccination Parameter

Crossmark

Article Sidebar

Vol 3 No 2 (2025): Mikailalsys Journal of Mathematics and Statistics
Page Numbers: 322-342
Download PDF
Published: Apr 7, 2025
Digital Object Identifier:
Save this to:
Save to Mendeley Download RIS

Article Metrics:
Viewed: 228 times
Downloaded: 193 times
Article can trace at:

Author Fee:
Free Publication Fees for Foreign Researchers (USD 0.00)
Check for article on SINTA:

LYAS Publisher cordially invites qualified professionals to serve as Editors or Reviewers. Your expertise will make an important contribution to maintaining and strengthening the academic quality of our publications. Interested applicants are kindly requested to complete the application form at the following link: Editors & Reviewers

Connected Papers:
Connected Papers


Please feel free to contact us if you need any further information about the submission process or if you have any additional questions.


Authors:
Adamu A. K.1*, Barde W.2, Bulus S. M.3, Yavalah D.4
Copyright :

Authors retain copyright and grant the journal right of first publication.

Explore Our Journals

Find the journal that best fits your research. If this journal does not match your manuscript’s scope, explore our portfolio below to select a more suitable publication venue.

HOME Yasin AlSys Anwarul Masaliq Arzusin Tsaqofah Ahkam AlDyas Mikailalsys Edumalsys Alsystech AJSTEA AJECEE AJISD IJHESS IJEMT IJECS MJMS MJAEI AMJSAI AJBMBR AJSTM AJCMPR AJMSPHR KIJST KIJEIT KIJAHRS

Main Article Content

Adamu A. K.
Federal University Wukari, Taraba State, Nigeria
Barde W.
Federal University Wukari, Taraba State, Nigeria
Bulus S. M.
Federal University Wukari, Taraba State, Nigeria
Yavalah D.
Federal University Wukari, Taraba State, Nigeria

Abstract

Malaria remains a significant global health challenge, particularly in tropical regions. In this study, we extended the existing compartmental model of S. O. Adewale et al, (2017) by incorporating a vaccination parameter. We established the positivity of solutions, existence and uniqueness of solutions, and analyze the disease-free equilibrium (DFE). The basic reproduction number is derived using the next-generation matrix method, and local/global stability conditions were established. Numerical simulations were carried out to determine the impact of vaccination on the transmission dynamics of the disease. Our findings provide insights into effective malaria control strategies. Also, the result shows that effective vaccination can drastically eradicate the scourge of malaria within the shortest period of time.

Keywords:
Download Full-Text PDF Direct PDF file • 5316.pdf
Share Article:

Citation Metrics:

Scopus

Downloads

Download data is not yet available.

Citation Metrics & Similar Scopus Articles

Data source Crossref
0
citations
Citation counts are source-specific and may differ because database coverage, reference matching, and update schedules are different. Counts are not added together. Crossref values represent citation links registered and matched by Crossref.
Check Secondary Documents in Scopus
Open this article in Scopus, then check the Secondary documents tab. Use Manual Citation Fallback only for counts you have verified manually.
Open in Scopus
Similar Scopus Articles
Scopus
  1. Kenzhegulov A.K. (2028)
    Investigation of the Structure and Composition of TiN and CrN Coatings as a Function of Deposition Parameters
    Kompleksnoe Ispolzovanie Mineralnogo Syra, 344(1), 55-64
  2. Azizova K.M.K. (2028)
    Purification of metallic ions from technological solutions before sorption recovery of rhenium under JSC Almalyk MMC
    Kompleksnoe Ispolzovanie Mineralnogo Syra, 344(1), 18-27
  3. Kazhikenova S.S. (2028)
    Modelling and Solving Problems of Sustainable Efficiency of Technological Processes in Metallurgy
    Kompleksnoe Ispolzovanie Mineralnogo Syra, 344(1), 65-78

Article Details

How to Cite
K., A. A., W., B., M., B. S., & D., Y. (2025). Analysis of a Mathematical Model for Malaria Transmission with Vaccination Parameter. Mikailalsys Journal of Mathematics and Statistics, 3(2), 322-342. https://doi.org/10.58578/mjms.v3i2.5316
Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Creative Commons License
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

References

Adewale S. O, Omoloye M. A, Olopade I. A, & Adeniran G. A. (2017). Mathematical analysis for dynamical spread of malaria in the population with controlling measures. International Journal of Innovation and Scientific Research,ISSN 2351-8014 Vol. 31 No. 2, pp. 225.233

Anderson R. M, May R. M, & Gupta S. (1989). Nonlinear phenomena in host-parasite interactions. Parasitology 99,S59-S79.

Arino J, McCluskey C. C, & van P. (2003). den Driessche, Global results for an epidemic model with vaccination that exhibits backward bifurcation. SIAM J. Appl. Math. 64, 260-276.

Bailey N. T. J. (1982). The Biomathematics of malaria. Griffin, London.

Brown P. (1991). Trials & tribulations of a malaria vaccine. New Scientist, 18-19.

Clyde D, F, Most H, McCarthy V. C, & J. P. Vanderberg. (1973). Immunization of man against sporozoite-induced falciparum malaria. Am. J. Med. Sci. 266, 169-177.

de Zoysa A. P. K. (1990). in Document TDR/IMMAL/TB/ 90.3, WHO. 1990.

Dietz K, Molineaux L, & Thomas A. (1974). A malaria model tested in the African savannah. Bull. WHO. 50, 347-357.

Dunavan C. P. (2005). Tackling malaria. Scientific American 293(6), 57-63.

Gallup, & Sacks D. J. (2001). The economic burden of malaria. Am. J. Trop. Med. Hyg. 64(Suppl 1-2), 85-96.

Good M. F, Xu H, Wykes M, & Engwerda C. R. (2005). Development and regulation of cell-mediated immune responses to the blood stages of malaria: Implications for vaccine research. Annu. Rev. Immunol. 23, 69-99.

Greenwood B, & Mutabingwa T. (2002). Malaria in 2002. Nature 415, 670-672.

J. Hemingway, L. Field, and J. Vontas. (2002). An overview of insecticide resistance. Science 298, 96-97.

Greenwood B. M, Bojang K, Whitty C. J, & Targett G. A. (2005). Malaria. The Lancet 365, 1487-1498.

Halloran M. E, Struchiner C. J, & Spielman A. (1989). Modeling malaria vaccines II: Population effects of stage-specific malaria vaccines dependent on natural boosting. Math. Biosci. 94,115-149.

Holder A. A, Guevara Patino J. A, Uthaipibull C, Syed S. E, Ling I. T, Scott-Finnigan T, & Blackman M. J. (1999). Merozoite surface protein 1, immune evasion, and vaccines against asexual blood stage malaria. Parassitologia 41, 409-414.

Menach A. L, F. E. McKenzie, A. Flahault, & D. L. Smith. (2005). The unexpected importance of mosquito oviposition behaviour for malaria: non-productive larval habitats can be sources for malaria transmission. Malar. J. 4, 23.

Molineaux L, Diebner H. H, Eincher M, Collins W E, Jeffery G. M, and Dietz K. (2001). Plasmodium falciparum parasitaemia described by a new mathematical model. Parasitology 122, 379-391.

Moorthy V. S, Good M. F, & Hill V. S. (2004). Malaria vaccine developments. The Lancet 363, 150-156.

Olliaro P, Cattani J, & Wirth D. (1996). Malaria, the submerged disease. JAMA 275, 230-233.

Richie T. L, & Saul A. (2002). Progress and challenges for malaria vaccines. Nature 415, 694-701.

Samwel Oseko Nyachae, Johana K. Sigey Jeconiah A. Okello, James M. Okwoyo & D. Theuri. (2014). a study for the spread of malaria in nyamira town - kenya, the sij transactions on computer science engineering and its applications (csea), the standard international journals (the sij), vol. 2, no. 3 (1), pp. 53-60.

Struchiner C. J, Halloran M. E, & Spielman A. (1989). Modeling malaria vaccines I: New uses for old ideas. Math. Biosci. 94, 87-113.