Sustainable Coexistence with Infectious Diseases: A Behavioral Feedback Model Driven by Resource Accessibility under Static-Dynamic Optimal Control
by Yangyang Zhang, Huijun Liu, Sanyi Tang, Lili Liu
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This study investigates the behavior-disease feedback mechanism and explores optimal control strategies balancing infection burden and intervention costs under the long-term management goal of coexisting with the virus. Simulations based on influenza data from Shanxi Province show that spontaneous, risk-driven behavioral adaptation alone can generate multi-peak epidemic waves. Static optimization reveals the behavioral threshold and public risk attention determine optimal intervention intensity and convergence. Dynamic optimization targeting the transmission rate alone or jointly with the behavioral threshold shows that early intervention during the rapid growth phase prevents repeated policy oscillations and epidemic rebounds.

Image Description: Balance the infection burden and intervention costs when facing the long-term management goal of coexisting with the virus