Modeling individual mobility's impact on COVID-19 transmission: Insights from a two-patch SEIR-V approach

Iranian Journal of Numerical Analysis and Optimization

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 اسفند 1402

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2024.85987.1365

نویسندگان

Mehdi Bouziane^{* 1}؛ Maroua Amel Boubekeur²؛ Meriem El-Batoul Keddar²؛ Omar Belhamiti²

¹Department of Mathematics, Higher Normal School of Mostaganem, \\ Mostaganem 27000, Algeria.

²Department of Mathematics and Computer Science, Abdelhamid Ben Badis University, Mostaganem 27000, Algeria.

چکیده

This research explores the influence of individual mobility on COVID-19 transmission, utilizing a temporal mathematical model to clarify disease spread and vaccination dynamics across diverse regions. Employing a computationally efficient two-patch configuration that emphasizes regional interactions, our study aims to guide optimal disease control strategies. The introduced SEIR-V model with a 2-patch setup estimates the vaccination reproduction number, $R_v$, while equilibrium points and system stability are identified. Visualizations from numerical simulations and sensitivity analysis illustrate key parameters affecting the vaccination reproduction number and COVID-19 control measures. Our findings underscore system responsiveness, emphasizing the intricate relationship between $R_v$, migration rates, and disease prevalence.

کلیدواژه‌ها

COVID-19؛ metapopulation؛ Global stability؛ Local stability؛ Vaccination reproduction number