Boundedness and Positivity Preserving Numerical Analysis of a Fuzzy-Parameterized Delayed Model for Foot and Mouth Disease Dynamics
作者机构：Department of MathematicsSchool of ScienceUniversity of Management and TechnologyLahore54000Pakistan Department of Mathematics and SciencesPrince Sultan UniversityRiyadh11586Saudi Arabia Department of Medical ResearchChina Medical UniversityTaichung40402Taiwan 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12期
页 面：2527-2554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：Prince Sultan University, PSU Texas Academy of Science, TAS
主 题：FMD Virus delay epidemic model fuzzy parameters stability consistency
摘 要：Foot-and-mouth disease(FMD)is a viral disease that affects cloven-hoofed animals including cattle,pigs,and sheep,hence causing export bans among others,causing high economic losses due to reduced *** global effect of FMD is most felt where livestock rearing forms an important source of *** is therefore important to understand the modes of transmission of FMD to control its spread and prevent its *** work intends to address these dynamics by including the efficacy of active migrant animals transporting the disease from one area to another in a fuzzy mathematical modeling *** models of epidemics are determinable with a set of deterministic parameters and this does not reflect on real-life scenarios as observed in *** theory is used in this model as it permits the inclusion of uncertainties in the model;this makes the model more of a reality regarding disease transmission.A time lag,in this case,denotes the incubation period and other time-related factors affecting the spread of FMD and,therefore,is added to the current model for *** that purpose,the analysis of steady states and the basic reproduction number are performed and,in addition,the stability checks are conveyed in the fuzzy *** the numerical solution of the model,we derive the Forward Euler Method and the fuzzy delayed non-standard finite difference(FDNSFD)*** studies of the FDNSFD scheme are performed for convergence,non-negativity,boundedness,and consistency analysis of the numerical projection to guarantee that the numerical model is an accurate discretization of the continuous dynamics of FMD transmission over *** the following simulation study,we show that the FDNSFD method preserves the characteristics of the constant model and still works if relatively large time steps are employed;this is a bonus over the normal finite difference *** study shows how valuable it is to adopt fuzzy theory and time delays whe
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