A Dynamical Study of Modeling the Transmission of Typhoid Fever throughDelayed Strategies
作者机构：Department of MathematicsSchool of ScienceUniversity of Management and TechnologyLahore54000Pakistan Department of Mathematics and SciencesPrince Sultan UniversityP.O.Box 66833Riyadh11586Saudi Arabia Department of Medical ResearchChina Medical UniversityTaichung40402TaiwanChina Department of Mathematics and Applied MathematicsSchool of Science and TechnologySefakoMakgatho Health Sciences UniversityGa-Rankuwa0208South Africa Center for Applied Mathematics and Bioinformatics(CAMB)Gulf University for Science and TechnologyHawally32093Kuwait
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：1419-1446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：supported by Prince Sultan University through TAS research lab
主 题：Typhoid virus delay epidemic model stability consistency global stability
摘 要：This study analyzes the transmission of typhoid fever caused by Salmonella typhi using a mathematical model thathighlights the significance of delay in its *** delays can affect the nature of patterns and slow downthe emergence of patterns in infected population *** analyzed model is expanded with the equilibriumanalysis,reproduction number,and stability *** study aims to establish and explore the non-standardfinite difference(NSFD)scheme for the typhoid fever virus transmission model with a time *** addition,the forward Euler method and Runge-Kutta method of order 4(RK-4)are also applied in the present *** significant properties,such as convergence,positivity,boundedness,and consistency,are explored,and theproposed scheme preserves all the mentioned *** theoretical validation is conducted on how NSFDoutperforms other methods in emulating key aspects of the continuous model,such as positive solution,stability,and equilibrium about ***,the above analysis also shows some of the limitations of the conventional finitedifference methods,such as forward Euler and RK-4 in simulating such critical *** becomes moreapparent when using larger *** indicated that NSFD is beneficial in identifying the essential characteristicsof the continuous model with higher accuracy than the traditional approaches.
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