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

Document Type : Research Article

Authors

• Mehdi Bouziane ¹
• Maroua Amel Boubekeur ²
• Meriem El-Batoul Keddar ²
• Omar Belhamiti ²

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

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

10.22067/ijnao.2024.85987.1365

Abstract

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.

Keywords

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

Main Subjects

• Modeling and Simulation

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