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Modeling and Analyzing the Effect of Vaccination and Media Coverage on Measles Disease

Author

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  • May Mohammed Helal
  • Firas Hussean Maghool
  • Roaa Hatem Talib
  • Mustafa Jumaah Marroof

Abstract

This paper offers a mathematical model to analyze how media coverage in addition to vaccinated effect measles transmission. Vulnerable individuals, vaccinated, exposed, infected, and recovered make up the five compartments of the population. The model allows for the possibility of the impact of vaccinated efforts and media-driven public awareness, both of which are essential for limiting the spread of illness. We study the boundedness of the system and determine equilibrium points (EQ) for both disease-free and endemic settings to verify biological viability. Both locally and globally, stability assessments are conducted to ascertain the conditions under which the disease either disappears or persists. Numerical analyses are performed to demonstrate the model's behavior under various parameter values. The results show the performance of expanded vaccination rates and media influence in defining the spread of measles.

Suggested Citation

  • May Mohammed Helal & Firas Hussean Maghool & Roaa Hatem Talib & Mustafa Jumaah Marroof, 2026. "Modeling and Analyzing the Effect of Vaccination and Media Coverage on Measles Disease," Journal of Applied Mathematics, Hindawi, vol. 2026, pages 1-10, June.
    • Handle: RePEc:hin:jnljam:9911750
    DOI: 10.1155/jama/9911750
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