arXiv 2406.154382024-06math.DSq-bio.PE

在线食品配送服务对食源性疾病传播影响的动力学建模

Modelling the dynamics of online food delivery services on the spread of food-borne diseases

Emmanuel Addai, Delfim F. M. Torres, Zalia Abdul-Hamid, Mary Nwaife Mezue, Joshua Kiddy K. Asamoah

备注：: This preprint is published in 'Modeling Earth Systems and Environment' [https://doi.org/10.1007/s40808-024-02046-8]
发表信息：: Model. Earth Syst. Environ. 10 (2024), no. 4, 4993--5008
DOI：: 10.1007/s40808-024-02046-8

AI总结：

本文提出基于 Caputo 算子的确定性模型，分析在线食品配送服务对食源性疾病传播的影响，通过不动点定理证明解的存在唯一性，并利用迭代分数阶 Predictor-Corrector 格式模拟，证明各仓室收敛稳定，强调政府需实施食品安全干预措施。

摘要：

我们提出并分析了一个确定性数学模型，用于研究由人类和苍蝇组成的群体中食源性疾病的传播。我们采用 Caputo 算子来考察政府行动和在线食品配送服务对食源性疾病传播的影响。所提出的模型研究了重要方面，如正性、有界性、无病平衡点、基本再生数和敏感性分析。利用 Banach 和 Schauder 型不动点定理，建立了该初值问题解的存在性与唯一性。采用泛函技巧证明了所提模型在 Hyers-Ulam 条件下的稳定性。对于近似解，采用了迭代分数阶 Predictor-Corrector 格式。该格式的模拟使用 Matlab 作为数值计算环境进行，分数阶取值范围为 0.75 到 1。随着时间的推移，所有仓室均表现出收敛性和稳定性。数值模拟强调了政府实施最有效食品安全控制干预措施的必要性。这些措施可能包括针对餐厅经理、参与在线食品配送的员工以及食品配送人员的食品安全意识和培训活动。

英文摘要：

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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。