A Study on the Nonlinear Caputo-Type Snakebite Envenoming Model with Memory  

作　　者：Pushpendra Kumar Vedat Suat Erturk V.Govindaraj Dumitru Baleanu 

机构地区：[1]Department of Mathematics,National Institute of Technology Puducherry,Karaikal,609609,India [2]Department of Mathematics,Faculty of Arts and Sciences,Ondokuz Mayis University,Atakum,Samsun,55200,Turkey [3]Department of Mathematics,Cankaya University,Ankara,06530,Turkey [4]Institute of Space Sciences,Magurele,Bucharest,R76900,Romania [5]Department of Computer Science and Mathematics,Lebanese American University,Beirut,11022801,Lebanon

出　　处：《Computer Modeling in Engineering & Sciences》2023年第9期2487-2506,共20页工程与科学中的计算机建模（英文）

摘　　要：In this article,we introduce a nonlinear Caputo-type snakebite envenoming model with memory.The well-known Caputo fractional derivative is used to generalize the previously presented integer-order model into a fractionalorder sense.The numerical solution of the model is derived from a novel implementation of a finite-difference predictor-corrector(L1-PC)scheme with error estimation and stability analysis.The proof of the existence and positivity of the solution is given by using the fixed point theory.From the necessary simulations,we justify that the first-time implementation of the proposedmethod on an epidemicmodel shows that the scheme is fully suitable and time-efficient for solving epidemic models.This work aims to show the novel application of the given scheme as well as to check how the proposed snakebite envenoming model behaves in the presence of the Caputo fractional derivative,including memory effects.

关 键 词：Mathematical model Caputo fractional derivative L1-predictor-corrector method error estimation stability graphical simulations 

分 类 号：O17[理学—数学]