A Mathematical Model for the Dengue Fever Epidemic with Vaccination and Treatment

Authors

  • Fatima Alnoor Sudan University of Science and Technology, Khartoum, Sudan
  • Hajir Wahbi Northern Border University, Arar, Saudi Arabia
  • Fatma Saadi Northern Border University, Arar, Saudi Arabia
  • Rabeea M.A. Daoub Northern Border University, Arar, Saudi Arabia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5815

Keywords:

Dengue fever; Epidemic; Vaccination ; Treatment ; infectious mosquito

Abstract

The aim of this study is to construct and investigate a mathematical model to grasp the 
dynamics of dengue fever and assess the consequences of vaccine and treatment 
approaches in disease control.
We created a mathematical model, including human and mosquito populations, using 
impulsive differential equations to simulate vaccination and antiviral treatment 
interventions. We used the stability analysis of equilibrium points to find the behavior 
of the system under different situations. We used MATLAB to run numerical 
simulations evaluating several intervention possibilities.
Particularly when started early on, immunization programs dramatically lower dengue 
transmission rates. Moreover, combining vaccination with antiviral medications 
increases the efficacy of intervention campaigns, therefore accelerating the decrease in 
disease prevalence and enhancing long-term control of epidemics.
Effective control of dengue depends on integrated programs combining immunization 
and antiviral therapies. Reducing the public health load of dengue fever and stopping 
transmission depend on early intervention and constant efforts.

Downloads

Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Mathematical Modeling and Numerical Analysis

License

Copyright (c) 2025 Fatima Alnoor, Hajir Wahbi, Fatma Saadi, Rabeea M.A. Daoub

Creative Commons License

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

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

A Mathematical Model for the Dengue Fever Epidemic with Vaccination and Treatment. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5815. https://doi.org/10.29020/nybg.ejpam.v18i2.5815