吉林大学学报(工学版) ›› 2009, Vol. 39 ›› Issue (05): 1274-1277.

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Disease spreading behavior based on SIR model within population of mobile individuals

XIA Cheng-yi1, 2, LIU Zhong-xin1, CHEN Zeng-qiang1, YUAN Zhu-zhi1   

  1. 1.Department of Automation, Nankai University, Tianjin 300071, China; 2.Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology, Tianjin 300191, China
  • Received:2007-12-18 Online:2009-09-01 Published:2009-09-01

Abstract:

   To investigate the disease spreading behavior within population of mobile individuals, the SusceptibleInfectiveRemoved (SIR) epidemic model is embedded into the individual motion model based on two dimensional (2D) regular lattices. Meanfield theory and largescale numerical simulations are employed to analyze the critical threshold of the SIR model. The results indicate that the effective critical propagation rate is closely related with the density of mobile individuals, and the motion also remarkably influences the epidemic spreading behavior. At the end, some feasible control strategies, which are based on the analytical and simulation results, are proposed to contain the epidemic spreading within mobile populations.

Key words: computer application, SIR model, disease spreading, mobile population, meanfield theory, critical spreading rate

CLC Number: 

  • TP39
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