This is an interim version of our Electronic Legal Deposit Catalogue-eJournals and eBooks while we continue to recover from a cyber-attack.
On the Stability of the Endemic Equilibrium of A Discrete-Time Networked Epidemic Model⁎This work was supported by the joint Sino-German Research Project, which is funded through the German Research Foundation (DFG) and the National Science Foundation China (NSFC) 61761136005. Issue 2 (2020)
Record Type:
Journal Article
Title:
On the Stability of the Endemic Equilibrium of A Discrete-Time Networked Epidemic Model⁎This work was supported by the joint Sino-German Research Project, which is funded through the German Research Foundation (DFG) and the National Science Foundation China (NSFC) 61761136005. Issue 2 (2020)
Main Title:
On the Stability of the Endemic Equilibrium of A Discrete-Time Networked Epidemic Model⁎This work was supported by the joint Sino-German Research Project, which is funded through the German Research Foundation (DFG) and the National Science Foundation China (NSFC) 61761136005.
Abstract: Networked epidemic models have been widely adopted to describe propagation phenomena. The endemic equilibrium of these models is of great significance in the field of viral marketing, innovation dissemination, and information diffusion. However, its stability conditions have not been fully explored. In this paper, we study the stability of the endemic equilibrium of a networked Susceptible-Infected-Susceptible (SIS) epidemic model with heterogeneous transition rates in a discrete-time manner. We show that the endemic equilibrium, if it exists, is asymptotically stable for any nontrivial initial condition. Under mild assumptions on initial conditions, we further prove that during the spreading process there exists no overshoot with respect to the endemic equilibrium. Finally, we conduct numerical experiments on real-world networks to illustrate our results.