ON THE QUASI-STATIONARY DISTRIBUTION OF SIS MODELS
ON THE QUASI-STATIONARY DISTRIBUTION OF SIS MODELS
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DOI：
10.1017/s0269964816000188
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发表时间：
2016-09
影响因子：
1.1
通讯作者：
Gaofeng Da;Maochao Xu;Shouhuai Xu
中科院分区：
文献类型：
--
作者：
Gaofeng Da;Maochao Xu;Shouhuai Xu
在本文中，我们提出了一种构建 SIS 过程准平稳分布上限的新方法。使用这种方法，我们获得了比最先进的上限更好的上限。此外，我们证明了不动点图 Φ [7] 在一定条件下实际上保留了平衡逆风险率顺序。这使我们能够进一步提高上限。给出了一些数值结果来说明结果。
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.