演講者：李俊憲教授(國立高雄師範大學數學系)
時間：103年10月13日(星期一)下午3:40-5:30
地點：民生校區五育樓4樓401教室

Abstract:
In this talk, we study the spreading of infections in complex heterogeneous networks based on an SIRS epidemic model with birth and death rates. The dynamics of the network-based SIRS model is completely determined by a threshold value. If the value is less than or equal to one, then the disease-free equilibrium is globally attractive and the disease dies out. Otherwise, the disease-free equilibrium becomes unstable and in the meantime there exists uniquely an endemic equilibrium which is globally asymptotically stable. We also consider the SIRS model in the clustered scale-free networks to examine the effect of network community structure on the epidemic dynamics. Numerical experiments are given to illustrate the theoretical results.
Keywords: epidemic model; complex network; community structure; Lyapunov function; global stability.