3 citations · 9 across the 6 of their papers we have counts for
6 papers
A stochastic differential equation approach for an SIS model with non-linear incidence rate
J. S. Builes, Cristian F. Coletti, Leon A. Valencia
In this paper, we study an analytically tractable SIS model with a non-linear incidence rate for the number of infectious individuals described through a stochastic differential eq…
Fluctuations of the occupation density for a parking process
Cristian F. Coletti, Sandro Gallo, Alejandro Roldán-Correa +1
Consider the following simple parking process on : at each step, a site is chosen at random in and if and all its nearest neighbor s…
RMF accessibility percolation on oriented graphs
Frank Duque, Daniel Ramirez-Gomez, Alejandro Roldán-Correa +1
Accessibility percolation is a new type of percolation problem inspired by evolutionary biology: a random number, called its fitness, is assigned to each vertex of a graph, then a…
Comment on "Nodal infection in Markovian susceptible-infected-susceptible and susceptible-infected-removed epidemics on networks are non-negatively correlated''
Pablo M. Rodriguez, Alejandro Roldán-Correa, Leon Alexander Valencia
Cator and Van Mieghem [Cator E, Van Mieghem P., Phys. Rev. E 89, 052802 (2014)] stated that the correlation of infection at the same time between any pair of nodes in a network is…
Scaling limit of the radial Poissonian web
Luiz Renato Fontes, Leon Valencia, Glauco Valle
We consider a variant of the radial spanning tree introduced by Baccelli and Bordenave. Like the original model, our model is a tree rooted at the origin, built on the realization…
Scaling limit for a family of random paths with radial behavior
Cristian F. Coletti, Leon A. Valencia
We introduce a system of coalescing random paths with radialbehavior in a subsetof the plane. We call it theDiscrete Radial Poissonian Web. We show that underdiffusive scaling this…