Modelling the dynamics of online food delivery services on the spread of food‑borne diseases
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Date
2024-05
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Springer
Abstract
We propose and analyze a deterministic mathematical model for the transmission of food-borne diseases in a population
consisting of humans and flies. We employ the Caputo operator to examine the impact of governmental actions and online
food delivery services on the transmission of food-borne diseases. The proposed model investigates important aspects such
as positivity, boundedness, disease-free equilibrium, basic reproduction number and sensitivity analysis. The existence and
uniqueness of a solution for the initial value problem is established using Banach and Schauder type fixed point theorems.
Functional techniques are employed to demonstrate the stability of the proposed model under the Hyers–Ulam condition. For
an approximate solution, the iterative fractional order Predictor–Corrector scheme is utilized. The simulation of this scheme
is conducted using Matlab as the numeric computing environment, with various fractional order values ranging from 0.75
to 1. Over time, all compartments demonstrate convergence and stability. The numerical simulations highlight the necessity
for the government to implement the most effective food safety control interventions. These measures could involve food
safety awareness and training campaigns targeting restaurant managers, staff members involved in online food delivery, as
well as food delivery personnel.
Description
This article is published by Springer 2024 and is also available at https://doi.org/10.1007/s40808-024-02046-8
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Modeling Earth Systems and Environment