14 citations · 19 across the 6 of their papers we have counts for
6 papers
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…
Asymptotic for critical value of the large-dimensional SIR epidemic on clusters
Xiaofeng Xue
In this paper we are concerned with the SIR (Susceptible-Infective-Removed) epidemic on open clusters of bond percolation on the squared lattice. For the SIR model, a susceptible v…
Phase transition for the SIR model with random transition rates on complete graphs
Xiaofeng Xue
In this paper we are concerned with the Susceptible-Infective-Removed model with random transition rates on complete graphs with vertices. We assign i. i. d. copies of a…
Contact processes with random vertex weights on oriented lattices
Xiaofeng Xue
In this paper we are concerned with contact processes with random vertex weights on oriented lattices. In our model, we assume that each vertex x of Z^d takes i. i. d. positive ran…
Critical infection rates for contact processes on open clusters of oriented percolation in
Xiaofeng Xue
In this paper we are concerned with contact processes on open clusters of oriented percolation in , where the disease spreads along the direction of open edges. We show that t…
Fluid limit of threshold voter models on tori
Xiaofeng Xue
In this paper, we are concerned with threshold voter models on tori. Assuming that the initial distribution of the process is product measure with density p, we obtain a fluid limi…