Numerical solution of fractional order model of measles disease with double dose vaccination

Measles remains a significant public health concern globally, despite the availability of effective vaccines. In this study, we develop a mathematical model of measles disease that integrates the impact of double dose vaccination and utilize the Laplace Adomian Decomposition Method (LADM) as a numerical approach to obtain solutions for the fractional order differential equations governing the model. The model accounts for the dynamics of susceptible, infected, and vaccinated individuals, considering the transmission dynamics of measles in a population with varying vaccination coverage. LADM, combining the Laplace transform and Adomian decomposition, provides a systematic method to solve the nonlinear fractional differential equations derived from the model, offering insights into the effectiveness of double dose vaccination strategies in controlling measles outbreaks.

Authors

Publication Details

Journal
Dutse Journal of Pure and Applied Sciences
Published
2024-11-01
DOI
https://doi.org/10.4314/dujopas.v10i3b.19
Citations
14
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
5.53
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article

Numerical solution of fractional order model of measles disease with double dose vaccination

Benedict Celestine Agbata, M.M. Shior, Simon Abraham, William Obeng–Denteh et al.
14 citations
Dutse Journal of Pure and Applied Sciences
Fractional Differential Equations Solutions
5.53
article

Numerical solution of fractional order model of measles disease with double dose vaccination

Benedict Celestine Agbata, M.M. Shior, Simon Abraham, William Obeng–Denteh, F. Asante Mensa, P. A. Kwabi, J. Amoah-Mensah
article en
14 citations

Abstract

Measles remains a significant public health concern globally, despite the availability of effective vaccines. In this study, we develop a mathematical model of measles disease that integrates the impact of double dose vaccination and utilize the Laplace Adomian Decomposition Method (LADM) as a numerical approach to obtain solutions for the fractional order differential equations governing the model. The model accounts for the dynamics of susceptible, infected, and vaccinated individuals, considering the transmission dynamics of measles in a population with varying vaccination coverage. LADM, combining the Laplace transform and Adomian decomposition, provides a systematic method to solve the nonlinear fractional differential equations derived from the model, offering insights into the effectiveness of double dose vaccination strategies in controlling measles outbreaks.

Dutse Journal of Pure and Applied SciencesVol. 10(3b)
Good health and well-being
Openalex Percentile: Top 3%
Fractional Differential Equations Solutions
5.53
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Numerical solution of fractional order model of measles disease with double dose vaccination — Benedict Celestine Agbata, M.M. Shior, et al. · Dutse Journal of Pure and Applied Sciences (2024) | TGRS Research Map | TGRS