A Dynamical Study of Modeling the Transmission of Typhoid Fever throughDelayed Strategies  

作　　者：Muhammad Tashfeen Fazal Dayan Muhammad Aziz Ur Rehman Thabet Abdeljawad Aiman Mukheimer 

机构地区：[1]Department of Mathematics,School of Science,University of Management and Technology,Lahore,54000,Pakistan [2]Department of Mathematics and Sciences,Prince Sultan University,P.O.Box 66833,Riyadh,11586,Saudi Arabia [3]Department of Medical Research,China Medical University,Taichung,40402,Taiwan,China [4]Department of Mathematics and Applied Mathematics,School of Science and Technology,Sefako,Makgatho Health Sciences University,Ga-Rankuwa,0208,South Africa [5]Center for Applied Mathematics and Bioinformatics(CAMB),Gulf University for Science and Technology,Hawally,32093,Kuwait

出　　处：《Computer Modeling in Engineering & Sciences》2024年第11期1419-1446,共28页工程与科学中的计算机建模（英文）

基　　金：supported by Prince Sultan University through TAS research lab。

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 effectiveness.Time delays can affect the nature of patterns and slow downthe emergence of patterns in infected population density.The analyzed model is expanded with the equilibriumanalysis,reproduction number,and stability analysis.This study aims to establish and explore the non-standardfinite difference(NSFD)scheme for the typhoid fever virus transmission model with a time delay.In addition,the forward Euler method and Runge-Kutta method of order 4(RK-4)are also applied in the present research.Some significant properties,such as convergence,positivity,boundedness,and consistency,are explored,and theproposed scheme preserves all the mentioned properties.The 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 delay.Hence,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 behaviors.This becomes moreapparent when using larger steps.This indicated that NSFD is beneficial in identifying the essential characteristicsof the continuous model with higher accuracy than the traditional approaches.

关 键 词：Typhoid virus delay epidemic model stability CONSISTENCY global stability 

分 类 号：O17[理学—数学]