Numerical Investigation of a Fractional-Order Measles Model via the Generalized Adams–Bashforth–Moulton Technique
DOI:
https://doi.org/10.33003/fjs-2026-1010-5488Keywords:
Measles, Fractional, Adam-Bashforth-Moulton, Transmission, Control, strategiesAbstract
In this research, the transmission dynamics of Measles are investigated by adopting a fractional-order mathematical model to investigate the impact of vaccination, treatment and contacts on the transmission of the disease. The model is well-posed, containing solutions and uniqueness, in fractional order sense. Stability analysis of the model is carried out to investigate the disease dynamics, including the determination of the basic reproduction number. The results show that treating infected individuals more often plays an important role in keeping the basic reproduction number below one and thus actually supports the control of the disease, while the higher the contact rate, the more the disease can be transmitted and persistent in the population. In addition, simulation analyses show that transmission related parameters are favorable for disease transmission, while treatment and vaccination related parameters are unfavorable for spread and contribute to a decrease of the disease burden. The fractional Adams–Bashforth–Moulton numerical scheme is used to study the dynamics of the population compartments under the different rates of treatment and contact. The results highlight that treatment and large scale vaccination of susceptible people is key to reducing the burden of Measles. Finally, the study shows that the use of integrated control measures, such as treatment expansion, vaccination coverage and reducing transmission pathways can be used effectively to control and potentially eradicate Measles in the population.
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Copyright (c) 2026 Jeremiah Amos, David Omale, William Atokolo, Enejoh Jalija, Emmanuel Abah, Danladi Egbunu, Simon Adukwu Iyaji
This work is licensed under a Creative Commons Attribution 4.0 International License.
