Time-Space analysis on spreading processes in small-world networks

POSTER

Abstract

We used time-domain statistical analysis to study the spreading processes on one-dimensional small-world networks. The relationships between the saturated infection rate and both spatial and temporal parameters of the system were studied. We found that the saturated infection rate increase exponentially with the mean degree and linearly with the ratio of the shorts cuts while it is almost independent of the size of the network when the network is large enough, which could not be observed without considering the spatial structure of the model. The infection probability and the active period also influence the saturated infection rate. The obtained results may provide insights into a prognosis of a spreading process in closed system especially for epidemic control.

Authors

  • Lin Xue

  • Stanley C. Solomon

    University of California and Lawrence Berkeley National Laboratory, Rutgers University, Utah State University, Brigham Young University, University of Utah, NASA, Duke University, FMA Research, Colorado State University, Dartmouth University, Idaho State University, Physics Department, Idaho State University, Physics Department, Utah State University, Los Alamos National Laboratory, Department of Physics, Nanjing University, China, University of California at Riverside, Physics Department, Colorado School of Mines, Physics Department, University of Utah, University of Nebraska - Lincoln, USU, Society of Physics Students, Arizona State University, Institute for Materials Science (NIMS), Namiki 1-1, Tsukuba, Ibaraki 305-0044, Japan, LANSCE-LC, Los Alamos National Laboratory, Van der Waals-Zeeman Institute, University of Amsterdam, Chemistry and Physics Dept., Virginia State University, University of Saskatchewan, Canada, Chalk River Laboratories, Physics Dept, Oxford University, Physics Dept, Utah State University, Sandia National Laboratories, National Renewable Energy Laboratory, DOE Center for Integrated Nanotechnologies, Sandia National Laboratories, National Center for Atmospheric Research

  • Stanley C. Solomon

    University of California and Lawrence Berkeley National Laboratory, Rutgers University, Utah State University, Brigham Young University, University of Utah, NASA, Duke University, FMA Research, Colorado State University, Dartmouth University, Idaho State University, Physics Department, Idaho State University, Physics Department, Utah State University, Los Alamos National Laboratory, Department of Physics, Nanjing University, China, University of California at Riverside, Physics Department, Colorado School of Mines, Physics Department, University of Utah, University of Nebraska - Lincoln, USU, Society of Physics Students, Arizona State University, Institute for Materials Science (NIMS), Namiki 1-1, Tsukuba, Ibaraki 305-0044, Japan, LANSCE-LC, Los Alamos National Laboratory, Van der Waals-Zeeman Institute, University of Amsterdam, Chemistry and Physics Dept., Virginia State University, University of Saskatchewan, Canada, Chalk River Laboratories, Physics Dept, Oxford University, Physics Dept, Utah State University, Sandia National Laboratories, National Renewable Energy Laboratory, DOE Center for Integrated Nanotechnologies, Sandia National Laboratories, National Center for Atmospheric Research

  • Stanley C. Solomon

    University of California and Lawrence Berkeley National Laboratory, Rutgers University, Utah State University, Brigham Young University, University of Utah, NASA, Duke University, FMA Research, Colorado State University, Dartmouth University, Idaho State University, Physics Department, Idaho State University, Physics Department, Utah State University, Los Alamos National Laboratory, Department of Physics, Nanjing University, China, University of California at Riverside, Physics Department, Colorado School of Mines, Physics Department, University of Utah, University of Nebraska - Lincoln, USU, Society of Physics Students, Arizona State University, Institute for Materials Science (NIMS), Namiki 1-1, Tsukuba, Ibaraki 305-0044, Japan, LANSCE-LC, Los Alamos National Laboratory, Van der Waals-Zeeman Institute, University of Amsterdam, Chemistry and Physics Dept., Virginia State University, University of Saskatchewan, Canada, Chalk River Laboratories, Physics Dept, Oxford University, Physics Dept, Utah State University, Sandia National Laboratories, National Renewable Energy Laboratory, DOE Center for Integrated Nanotechnologies, Sandia National Laboratories, National Center for Atmospheric Research