Details

Autor(en) / Beteiligte

• Tzioufas, Achillefs

Titel

A note on monotonicity of spatial epidemic models

Ist Teil von

• Brazilian journal of probability and statistics, 2019-08, Vol.33 (3), p.674-684

Ort / Verlag

Institute of Mathematical Statistics

Erscheinungsjahr

2019

Quelle

Free E-Journal (出版社公開部分のみ）

Beschreibungen/Notizen

• 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].