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ON THE QUASI-STATIONARY DISTRIBUTION OF SIS MODELS
Published online by Cambridge University Press: 16 September 2016
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
- Information
- Probability in the Engineering and Informational Sciences , Volume 30 , Issue 4 , October 2016 , pp. 622 - 639
- Copyright
- Copyright © Cambridge University Press 2016
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