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Novel Investigation of Stochastic Fractional Differential Equations Measles Model via the White Noise and Global Derivative Operator Depending on Mittag-Leffler Kernel

Saima Rashid1,2,*, Fahd Jarad3,4

1 Department of Mathematics, Government College University, Faisalabad, 38000, Pakistan
2 Department of Natural Sciences, School of Arts and Sciences, Lebanese American University, Beirut, 11022801, Lebanon
3 Department of Mathematics, Faculty of Arts and Science, Çankaya University, Ankara, 06790, Turkey
4 Department of Medical Research, China Medical University, Taichung, 40402, Taiwan

* Corresponding Author: Saima Rashid. Email: email

(This article belongs to the Special Issue: Recent Developments on Computational Biology-I)

Computer Modeling in Engineering & Sciences 2024, 139(3), 2289-2327. https://doi.org/10.32604/cmes.2023.028773

Abstract

Because of the features involved with their varied kernels, differential operators relying on convolution formulations have been acknowledged as effective mathematical resources for modeling real-world issues. In this paper, we constructed a stochastic fractional framework of measles spreading mechanisms with dual medication immunization considering the exponential decay and Mittag-Leffler kernels. In this approach, the overall population was separated into five cohorts. Furthermore, the descriptive behavior of the system was investigated, including prerequisites for the positivity of solutions, invariant domain of the solution, presence and stability of equilibrium points, and sensitivity analysis. We included a stochastic element in every cohort and employed linear growth and Lipschitz criteria to show the existence and uniqueness of solutions. Several numerical simulations for various fractional orders and randomization intensities are illustrated.

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APA Style
Rashid, S., Jarad, F. (2024). Novel investigation of stochastic fractional differential equations measles model via the white noise and global derivative operator depending on mittag-leffler kernel. Computer Modeling in Engineering & Sciences, 139(3), 2289-2327. https://doi.org/10.32604/cmes.2023.028773
Vancouver Style
Rashid S, Jarad F. Novel investigation of stochastic fractional differential equations measles model via the white noise and global derivative operator depending on mittag-leffler kernel. Comput Model Eng Sci. 2024;139(3):2289-2327 https://doi.org/10.32604/cmes.2023.028773
IEEE Style
S. Rashid and F. Jarad, "Novel Investigation of Stochastic Fractional Differential Equations Measles Model via the White Noise and Global Derivative Operator Depending on Mittag-Leffler Kernel," Comput. Model. Eng. Sci., vol. 139, no. 3, pp. 2289-2327. 2024. https://doi.org/10.32604/cmes.2023.028773



cc Copyright © 2024 The Author(s). Published by Tech Science Press.
This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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