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August 2019 A note on monotonicity of spatial epidemic models
Achillefs Tzioufas
Braz. J. Probab. Stat. 33(3): 674-684 (August 2019). DOI: 10.1214/18-BJPS406

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].

Citation

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Achillefs Tzioufas. "A note on monotonicity of spatial epidemic models." Braz. J. Probab. Stat. 33 (3) 674 - 684, August 2019. https://doi.org/10.1214/18-BJPS406

Information

Received: 1 March 2017; Accepted: 1 June 2018; Published: August 2019
First available in Project Euclid: 10 June 2019

zbMATH: 07094821
MathSciNet: MR3960280
Digital Object Identifier: 10.1214/18-BJPS406

Rights: Copyright © 2019 Brazilian Statistical Association

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Vol.33 • No. 3 • August 2019
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