An epidemic model on evolving networks

Abstract

The evolving networks are extensive in many real world networks, which are characterized by rearrangements of the links between nodes. In this paper we develop an SEIRS epidemic models on evolving networks using a general ordinary differential equation (ODE) model, and further the basic re production number is obtained. The basic reproduction number in epidemic systems is the critical condition which determines the spread of the disease. The analysis of the evolving SEIRS networks show that different rewiring process can get different thresholds of system.