THE SIR EPIDEMIC MATHEMATICAL MODEL FOR THE TRANSMISSION, PREVENTION AND TREATMENT OF DIPTERID DISEASE

  • Unique Paper ID: 198223
  • Volume: 12
  • Issue: 11
  • PageNo: 15948-15953
  • Abstract:
  • Dipterid disease is a vaccine- preventable illness, where an outbreak will not happen if a significant portion of the population is immune. Current research indicates that vaccinated people with insufficient immunity coverage might face the possibility of subclinical diphtheria infection. In this study, we create an SIR mathematical model for diphtheria transmission employing simplifying assumptions, to identify parameters contributing to both endemic and non- endemic conditions. The model operates under the assumption that infected individuals can naturally recover without medical intervention. We aim to assess and analyze the dynamics of diphtheria transmission, despite its lack of realism and inability to eradicate the disease in practice. We utilize the basic Reproduction Number to examine the endemic equilibrium. We then explore the possibility of enhancing the model by incorporating additional complex variables and parameters.

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{198223,
        author = {Nwakaego Samuel Inyenoma and Nwakaego Samuel l and DR.EKPU},
        title = {THE SIR EPIDEMIC MATHEMATICAL MODEL FOR THE TRANSMISSION, PREVENTION AND TREATMENT OF DIPTERID DISEASE},
        journal = {International Journal of Innovative Research in Technology},
        year = {2026},
        volume = {12},
        number = {11},
        pages = {15948-15953},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=198223},
        abstract = {Dipterid disease is a vaccine- preventable illness, where an outbreak will not happen if a significant portion of the population is immune. Current research indicates that vaccinated people with insufficient immunity coverage might face the possibility of subclinical diphtheria infection. In this study, we create an SIR mathematical model for diphtheria transmission employing simplifying assumptions, to identify parameters contributing to both endemic and non- endemic conditions. 
The model operates under the assumption that infected individuals can naturally recover without medical intervention. We aim to assess and analyze the dynamics of diphtheria transmission, despite its lack of realism and inability to eradicate the disease in practice. We utilize the basic Reproduction Number to examine the endemic equilibrium. We then explore the possibility of enhancing the model by incorporating additional complex variables and parameters.},
        keywords = {Diphtheria Infection, Explore, Subclinical.},
        month = {April},
        }

Cite This Article

Inyenoma, N. S., & l, N. S., & DR.EKPU, (2026). THE SIR EPIDEMIC MATHEMATICAL MODEL FOR THE TRANSMISSION, PREVENTION AND TREATMENT OF DIPTERID DISEASE. International Journal of Innovative Research in Technology (IJIRT), 12(11), 15948–15953.

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