[1]ZHAO Jing,FANG Yi,XIA Chengyi.A susceptibleinfectedremoved model consideringindividual mobility and local control[J].CAAI Transactions on Intelligent Systems,2011,6(6):515-519.
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A susceptibleinfectedremoved model consideringindividual mobility and local control

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 6 Number of periods: 2011 6 Page number: 515-519 Column: 学术论文—人工智能基础 Public date: 2011-12-25
Title:
A susceptibleinfectedremoved model consideringindividual mobility and local control
Author(s):
ZHAO Jing 1; 2;  FANG Yi 1; 2;  XIA Chengyi 1; 2
1.Tianjin Key Laboratory of Intelligent Computing and Novel Software Technology, Tianjin University of Technology,Tianjin 300384, China;
2. Key Laboratory of Computer Vision and Systems (Ministry of Education), Tianjin University of Technology, Tianjin 300384, China
Keywords:
individual motion;  SIR model;  infection radius;  control radius
CLC:
TP18；O231.5
DOI:
-
Abstract:
In order to effectively analyze and model the spread of infectious diseases, this paper proposed a novel SusceptibleInfectedRemoved (SIR) model considering mobile individuals and local control in which the concept of the infection radius and control radius were introduced. Based on the twodimensional space, the individual motion model and improved SIR model were considered first, and then largescale numerical simulation was used to explore the influence of the infection radius and control radius on the behavior of disease propagation. At the same time, the paper also investigated the impact of population density and the direction of mobile agents in relation to the spread of disease. Furthermore, some intuitive control strategies were presented to inhibit the diffusion of epidemics on the basis of the proposed novel SIR model; for instance, separating and controlling the infective individual and evacuating highdensity populations.
References:
［1］DYE C，GAY N. Modeling the SARS epidemic［J］. Science， 2003, 300(5627): 18841885.
［2］SMALL M, WALKER D M，TSE C K. Scalefree distribution of avian influenza outbreaks［J］. Physical Review Letters, 2007, 99(18): 188702.
［3］FRASER C, DONNELLY C A, CAUCHEMEZ S, et al. Pandemic potential of a strain of influenza A (H1N1): early findings［J］. Science, 2009, 324(5934): 15571561.
［4］马知恩，周义仓，王稳地，靳帧. 传染病动力学的数学建模与研究［M］. 北京： 科学出版社， 2004： 2328.
［5］陈关荣. 复杂网络及其新近研究进展简介［J］.力学进展，2008， 38（6）： 653662.
CHEN Guanrong. Introduction to complex networks and their recentadvances［J］. Advances in Mechanics, 2008, 38(6): 653662. 
［6］李翔. 复杂动态网络传播动力学［J］.力学进展， 2008， 38(6): 723732.
?LI Xiang. Spreading dynamics on complex dynamical networks［J］. Advances in Mechanics, 2008, 38(6): 723732. 
［7］夏承遗，刘忠信，陈增强，袁著祉. 复杂网络上的传播动力学及其新进展［J］. 智能系统学报， 2009, 4 (5): 392397.
XIA Chengyi, LIU Zhongxin, CHEN Zengqiang, YUAN Zhuzhi. Transmission dynamics in complex networks［J］. CAAI Transactions on Intelligent Systems, 2009, 4(5): 392397. 
［8］PASTORSATORRAS R，VESPIGNANI A. Epidemic spreading in scalefree networks［J］. Physical Review Letters, 2001, 86(14): 32003203.
［9］SHI H J, DUAN Z S，CHEN G R. An SIS model with infective medium on complex network［J］. Physica A, 2008, 387: 21332144.
［10］LIU Z H，HU B. Epidemic spreading in community networks［J］. Europhysics Letters, 2005, 72(2): 315321.
［11］XU X J, ZHANG X，MENDES J F F. Impacts of preference and geography on epidemic spreading［J］. Physical Review E, 2007, 76: 056109.
［12］HUANG W， LI C G. Epidemic spreading in scalefree networks with community structure［J］. Journal of Statistical Mechanics, 2007(1): 1014.
［13］ZHANG H F, SMALL M, FU X C. Different epidemic models on complex networks［J］. Communication of Theoretical Physics, 2009, 52: 180184.
［14］ZHANG H F, ZHANG J, ZHOU C S, et al. Hub nodes inhibit the outbreak of epidemic under voluntary vaccination［J］. New Journal of Physics, 2010, 12: 023015.
［15］MIRAMONTES O， LUQUE B. Dynamical smallworld behavior in an epidemical model of mobile individuals［J］. Physica D, 2002, 168(2): 379385.
［16］FRASCA M, BUSCARINO A, RIZZO A，et al. Dynamical network model of infective mobile agents［J］. Physical Review E, 2006, 74: 036110.
［17］LI X, CAO L，CAO G. Epidemic prevalence on random mobile dynamical networks: individual heterogeneity and correlation［J］. European Journal of Physics B, 2010, 75: 319326.
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