Modeling the Dynamics of Tuberculosis with Vaccination,Treatment,and Environmental Impact:Fractional Order Modeling
作者机构：Faculty of Natural and Agricultural SciencesUniversity of the Free StateBleomfontein9300South Africa Department of Basic SciencesPrincess Sumaya University for TechnologyAmman11941Jordan Department of Clinical Laboratory SciencesCollege of Applied Medical ScienceKing Khalid UniversityAbha62529Saudi Arabia Mathematical Sciences DepartmentCollege of Applied SciencesUmm Al-Qura UniversityMakkah24381Saudi Arabia Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityP.O.Box 80203Jeddah21589Saudi Arabia
出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)
年 卷 期：2024年第141卷第11期
页 面：1365-1394页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：supporting this work through the Large Research Group Project under Grant No.R.G.P.2/507/45
主 题：Tuberculosis real data stability analysis parameter estimations discussion
摘 要：A mathematical model is designed to investigate Tuberculosis(TB)disease under the vaccination,treatment,andenvironmental impact with real ***,we introduce the model formulation in non-integer order derivativeand then,extend the model into fractional order *** fractional system’s existence,uniqueness,andother relevant properties are ***,we study the stability analysis of the equilibrium *** disease-free equilibrium(DFE)D_(0)is locally asymptotically stable(LAS)when R_(v)1 and D_(0)for R_(v)≤*** existenceof bifurcation analysis in the model is investigated,and it is shown the system possesses the forward *** analysis has been performed to determine the sensitive parameters that impact R_(v).Weconsider the real TB statistics from Khyber Pakhtunkhwa in Pakistan and parameterized the *** computedbasic reproduction number obtained using the real cases is R0≈*** numerical results regardingdisease elimination of the sensitive parameters are shown graphically.
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