Modelling the Study of Hand, Foot and Mouth Disease Using SVEIQAR Derived Model

Abstract

This study introduces a mathematical model aimed at investigating the intricate dynamics of infectious diseases, incorporating vaccination and quarantine interventions. The model comprises a system of ordinary differential equations that delineate interactions among susceptible, infected, and recovered individuals, alongside the impacts of vaccination and quarantine measures. The disease transmission rate is contingent on the count of infected, asymptomatic, and quarantined individuals. The model undergoes a comprehensive analysis to ascertain pivotal equilibrium points—disease-free and endemic. Additionally, the stability of these equilibria is rigorously examined to discern their resilience in the presence of interventions. Furthermore, the model serves as a strategic tool for crafting effective disease control strategies. The study underscores the potential potency of synergistic vaccination and quarantine interventions by minimising infection rates. Employing sophisticated numerical optimization techniques, the study tackles the equations' complexity. The findings underscore the substantive impact of coordinated vaccination and quarantine strategies in curtailing disease spread. These insights furnish policymakers and health authorities with empirically grounded methodologies to formulate robust responses to infections such as hand, foot, and mouth diseases. Ultimately, this research contributes to the armamentarium of tools that empower the formulation of effective strategies to safeguard public health.