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

作　　者：Saima Rashid Fahd Jarad 

机构地区：[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,Çnkaya University,Ankara,06790,Turkey [4]Department of Medical Research,China Medical University,Taichung,40402,Taiwan,China

出　　处：《Computer Modeling in Engineering & Sciences》2024年第6期2289-2327,共39页工程与科学中的计算机建模（英文）

摘　　要：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.

关 键 词：Measles epidemic model Atangana-Baleanu Caputo-Fabrizio differential operators existence and uniqueness qualitative analysis Newton interpolating polynomial 

分 类 号：TP39[自动化与计算机技术—计算机应用技术] R75[自动化与计算机技术—计算机科学与技术]