ABSTRACT
Throughout the history of human society, the infectious diseases continually threaten the human life and health, from the Black of Europe in the medieval century, the world-wide flu outbreaks starting from 1918, to the SARS, Ebola, and several emerging flus. Meanwhile, via the developing network communication techniques, the computer virus almost penetrates into each corner within the Internet and even endangers the cyber-space security. This chapter considers the role of nonuniform transmission and time delay from recovering process of infective individuals, and addresses the impact of combination of two different infection schemes on the epidemic threshold in complex networks. It discusses the epidemic model on two-layered multiplex network. The chapter presents a novel scheme where the susceptible–infected–removed model is adopted in the disease spreading layer while the susceptible–infected–susceptible-like two-state model is considered on the awareness layer, and the epidemic threshold for this model has been analytically derived according to the microscopic Markov chain approach.
