A note about the invariance of the basic reproduction number for stochastically perturbed SIS models
Probability
2021-02-17 v2
Abstract
We try to justify rigorously, using a Wong-Zakai approximation argument, the susceptible-infected-susceptible (SIS) stochastic differential equation proposed in [2]. We discover that according to this approach the "right" stochastic model to be considered should be the Stratonovich version of the It\^o equation analyzed in [2]. Surprisingly, this alternative model presents the following feature: the threshold value characterizing the two different asymptotic regimes of the solution coincides with the one describing the classical SIS deterministic equation.
Keywords
Cite
@article{arxiv.2005.04973,
title = {A note about the invariance of the basic reproduction number for stochastically perturbed SIS models},
author = {Enrico Bernardi and Alberto Lanconelli},
journal= {arXiv preprint arXiv:2005.04973},
year = {2021}
}
Comments
16 pages