Dynamical behavior mechanism in the network of interaction between group behavior and virus propagation

Abstract

This paper introduces a complex network of interaction between human behavior and virus transmission, in which group synchronous behavior influences cure rates. The study examines the influence of individual group behavior on virus transmission, the reciprocal influence of virus transmission on individual group behavior, and the effects of evolving network structures on cluster synchronization. It also analyzes the conditions necessary for virus extinction or the occurrence of a pandemic, as well as the conditions for achieving individual group synchronization. The paper provides discriminant conditions to distinguish between aggregation behavior and virus extinction. The proposed model effectively captures the phenomenon of resurgence observed in many viruses. The conclusions drawn are rigorously validated through simulations conducted under various conditions, confirming the validity and reliability of the findings.