Bifurcation and propagation dynamics of a discrete pair SIS epidemic model on networks with correlation coefficient

Abstract

The spread of disease in social contact networks is inextricably linked to the topological and statistical properties of networks. In this work, dynamics of discrete epidemic system on networks with correlation and clustering coefficient are studied. In the scenario of ignoring clustering coefficient, critical value and stability of the system are discussed. After reconstructing the pair epidemic with correlations and clustering coefficient, the instability of the Dis-FE, bifurcation and propagation dynamics of the epidemic model are investigated, where some simulations are illustrated to explore the effects of clustering coefficient.