modeling individual mobility’s impact on covid-19 transmission: insights from a two-patch seir-v approach

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 com-putationally efficient two-patch configuration that emphasizes regional interactions, our study aims to guide optimal disease control strategies. the introduced seir-v model with a two-patch setup estimates the vaccination reproduction number, rv, while equilibrium points and system stability are identified. visualizations from numerical simulations and sensitivity analyses illustrate key parameters affecting the vaccination reproduction number and covid-19 control measures. our findings underscore system responsiveness, emphasizing the intricate relationship between rv , migration rates, and disease prevalence.