๐ค AI Summary
This study addresses the challenge of jointly modeling viral evolution and dynamic individual vaccination behavior in epidemic dynamics. The authors propose an extended SIRS model that incorporates both ancestral and variant strains, introduces a vaccinated compartment, and integrates evolutionary game theory to capture individualsโ vaccination decisions. By employing Microscopic Markov Chain Approximation (MMCA), the framework couples disease transmission with behavioral adaptation at the population level. This approach represents the first attempt to co-model viral mutation and game-theoretic vaccination behavior, thereby revealing their co-evolutionary dynamics. Numerical simulations and sensitivity analyses demonstrate that the proposed method effectively mitigates diverse epidemic outbreaks, with vaccine cost, efficacy, and perceived risk of side effects identified as key determinants of vaccination coverage.