Numerical Analysis of Bacterial Meningitis Stochastic Delayed Epidemic Model through Computational Methods

作     者：Umar Shafique Mohamed Mahyoub Al-Shamiri Ali Raza Emad Fadhal Muhammad Rafiq Nauman Ahmed 

作者机构：Department of MathematicsNational College of Business Administration and EconomicsLahore54660Pakistan Department of MathematicsApplied CollegeMahayl AssirKing Khalid UniversityAbha62529Saudi Arabia Department of Physical SciencesThe University of ChenabGujrat50700Pakistan Department of Mathematics&StatisticsCollege of ScienceKing Faisal UniversityP.O.Box 400Al-Ahsa31982Saudi Arabia Department of Computer Science and MathematicsLebanese American UniversityBeirut1102-2801Lebanon Department of MathematicsFaculty of Science and TechnologyUniversity of Central PunjabLahore54000Pakistan Department of Mathematics and StatisticsUniversity of LahoreLahore54000Pakistan 

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10期

页      面：311-329页

核心收录：

学科分类：0303[法学-社会学] 0711[理学-系统科学] 07[理学] 0811[工学-控制科学与工程] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Deanship of Research and Graduate Studies at King Khalid University for funding this work through large Research Project under Grant Number RGP2/302/45 supported by the Deanship of Scientific Research,Vice Presidency forGraduate Studies and Scientific Research,King Faisal University,Saudi Arabia(Grant Number A426) 

主　　题：Bacterial Meningitis disease stochastic delayed model stability analysis extinction and persistence computational methods 

摘      要：Based on theWorld Health Organization(WHO),Meningitis is a severe infection of the meninges,the membranes covering the brain and spinal *** is a devastating disease and remains a significant public health *** study investigates a bacterial meningitis model through deterministic and stochastic ***-compartment population dynamics explain the concept,particularly the susceptible population,carrier,infected,and *** model predicts the nonnegative equilibrium points and reproduction number,i.e.,the Meningitis-Free Equilibrium(MFE),and Meningitis-Existing Equilibrium(MEE).For the stochastic version of the existing deterministicmodel,the twomethodologies studied are transition probabilities and non-parametric ***,positivity,boundedness,extinction,and disease persistence are studiedrigorouslywiththe helpofwell-known *** and nonstandard techniques such as EulerMaruyama,stochastic Euler,stochastic Runge Kutta,and stochastic nonstandard finite difference in the sense of delay have been presented for computational analysis of the stochastic ***,standard methods fail to restore the biological properties of the model,so the stochastic nonstandard finite difference approximation is offered as an efficient,low-cost,and independent of time step *** addition,the convergence,local,and global stability around the equilibria of the nonstandard computational method is studied by assuming the perturbation effect is *** simulations and comparison of the methods are presented to support the theoretical results and for the best visualization of results.