| Full text | |
| Author(s): |
Tzioufas, Achillefs
Total Authors: 1
|
| Document type: | Journal article |
| Source: | BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS; v. 33, n. 3, p. 674-684, AUG 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
The epidemic process on a graph is considered for which infectious contacts occur at rate which depends on whether a susceptible is infected for the first time or not. We show that the Vasershtein coupling extends if and only if secondary infections occur at rate which is greater than that of initial ones. Nonetheless we show that, with respect to the probability of occurrence of an infinite epidemic, the said proviso may be dropped regarding the totally asymmetric process in one dimension, thus settling in the affirmative this special case of the conjecture for arbitrary graphs due to {[}Ann. Appl. Probab. 13 (2003) 669-690]. (AU) | |
| FAPESP's process: | 16/03988-5 - Stochastic models for neural networks |
| Grantee: | Achillefs Tzioufas |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat |
| Grantee: | Oswaldo Baffa Filho |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |