14 citations · 51 across the 35 of their papers we have counts for
6 papers · 1 filter
The critical infection rate of the high-dimensional two-stage contact process
Xiaofeng Xue
In this paper we are concerned with the two-stage contact process on the lattice introduced in \cite{Krone1999}. We gives a limit theorem of the critical infection r…
The survival probability of the high-dimensional contact process with random vertex weights on the oriented lattice
Xiaofeng Xue
This paper is a further study of Reference \cite{Xue2015}. We are concerned with the contact process with random vertex weights on the oriented lattice. Our main result gives the a…
Survival probabilities of high-dimensional stochastic SIS and SIR models with random edge weights
Xiaofeng Xue
In this paper, we are concerned with the stochastic SIS (susceptible-infected-susceptible) and SIR (susceptible-infected-recovered) models on high-dimensional lattices with random…
The contact process with semi-infected state on the complete graph
Xiaofeng Xue
In this paper we are concerned with the contact process with semi-infected state on the complete graph with vertices. In our model, each vertex is in one of three states…
The contact process on the regular tree with random vertex weights
Yu Pan, Dayue Chen, Xiaofeng Xue
This paper is concerned with contact process with random vertex weights on regular trees, and study the asymptotic behavior of the critical infection rate as the degree of the tree…
Mean field limit for survival probability of the high-dimensional contact process
Xiaofeng Xue
In this paper we are concerned with the contact process on the squared lattice. The contact process intuitively describes the spread of the infectious disease on a graph, where an…