Title :
An epidemic model on evolving networks
Author :
Zhang, Yunli ; Liu, Maoxing ; Li, Youwen
Author_Institution :
Dept. of Math., North Univ. of China, Taiyuan, China
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.
Keywords :
differential equations; epidemics; ODE model; SEIRS epidemic model; evolving networks; network rewiring; ordinary differential equation; susceptible-exposed- infected-recovered-susceptible epidemic model; Biological system modeling; Diseases; Evolution (biology); Immune system; Mathematical model; Basic reproduction number; Network rewiring; The SEIRS epidemic models;
Conference_Titel :
Multimedia Technology (ICMT), 2011 International Conference on
Conference_Location :
Hangzhou
Print_ISBN :
978-1-61284-771-9
DOI :
10.1109/ICMT.2011.6002636