19 citations · 32 across the 24 of their papers we have counts for
30 papers
Weak approximation for Gaussian processes from renewal processes
Xavier Bardina, Salim Boukfal, Marc Cano +1
In previous works, Bardina and Rovira (2023) constructed a family of processes that converge strongly towards Brownian motion, defined from renewal processes, are constructed. In t…
On a stochastic epidemic SIR model with non homogenous population: a toy model for HIV
Carles Rovira
In this paper we generalise a simple discrete time stochastic SIR type model defined by Tuckwell and Williams. The SIR model by Tuckwell and Williams assumes a homogeneous populati…
Existence of density for the solution of stochastic delay differential equations with reflection driven by a fractional Brownian motion
Mireia Besalú, David Márquez-Carreras, Carles Rovira
In this note we prove the existence of a density for the law of the solution for 1-dimensional stochastic delay differential equations with normal reflection. The equations are dri…
Strong limit of processes constructed from a renewal proces
Xavier Bardina, Carles Rovira
We construct a family of processes, from a renewal process, that have realizations that converge almost surely to the Brownian motion, uniformly on the unit time interval. Finally…
A stochastic epidemic model of COVID-19 disease
Xavier Bardina, Marco Ferrante, Carles Rovira
To model the evolution of diseases with extended latency periods and the presence of asymptomatic patients like COVID-19, we define a simple discrete time stochastic SIR-type epide…
On the strong convergence of multiple ordinary integrals to multiple Stratonovich integrals
Xavier Bardina, Carles Rovira
Given a sequence of approximations to a standard Brownian motion in such that converges almost surely to we…