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ON THE QUASI-STATIONARY DISTRIBUTION OF SIS MODELS

Published online by Cambridge University Press:  16 September 2016

Gaofeng Da
Affiliation:
College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu Province, China E-mail: dagfvc@gmail.com
Maochao Xu
Affiliation:
Department of Mathematics, Illinois State University, Illinois, USA E-mail: mxu2@ilstu.edu
Shouhuai Xu
Affiliation:
Department of Computer Science, University of Texas at San Antonio, San Antonio, Texas, USA

Abstract

In this paper, we propose a novel method for constructing upper bounds of the quasi-stationary distribution of SIS processes. Using this method, we obtain an upper bound that is better than the state-of-the-art upper bound. Moreover, we prove that the fixed point map Φ [7] actually preserves the equilibrium reversed hazard rate order under a certain condition. This allows us to further improve the upper bound. Some numerical results are presented to illustrate the results.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2016 

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