14 citations · 51 across the 35 of their papers we have counts for
4 papers · 1 filter
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…
Law of large numbers for the SIR model with random vertex weights on Erdős-Rényi graph
Xiaofeng Xue
In this paper we are concerned with the SIR model with random vertex weights on Erdős-Rényi graph . The Erdős-Rényi graph is generated from the complete graph $C_n…
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 recovery rates and edge weights on complete graphs
Xiaofeng Xue, Yu Pan
In this paper we are concerned with the contact process with random recovery rates and edge weights on complete graph with vertices. We show that the model has a critical value…