Cascading failure of complex networks based on load redistribution and epidemic process

Abstract

Diseases spreading over humans and animals is a ubiquitous process that has attracted much attention recently. To deeply explore the dynamics of the disease spread process on physical-contact networks, considering immunity exists in the population and dynamical behavior of viral transmission that have similar characteristics to cascading failure model based on complex network, the cascading failure model with load distribution parameters and epidemiological SIR model is proposed based on the local characteristic of nodes. Using this model, we investigate the virus outbreak conditions of Erdős–Rény (ER) and Albert–László Barabási (BA) networks, the formulas of critical values for networks recovery are derived. With numerical simulations, we obtain the relationship between the resilience of the networks against risk and the node redundancy factor. Furthermore, the intrinsic link between virus propagation rate and redundancy coefficient is obtained with the dynamical analysis, which is crucial for keeping networks robust against perturbations. These findings may help expand the understanding of the dynamic interactions between viral transmission and cascading failure, encouraging further study on the control and prevention of infectious disease spread.