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移动群体中基于SIR模型的疾病传播行为
Disease spreading behavior based on SIR model within population of mobile individuals
【摘要】 将SIR传染模型嵌入到基于二维规则晶格的个体运动模型中,研究移动群体中的疾病传播行为。利用平均场理论和大量的数值仿真分析SIR模型的传染临界值。结果表明,有效传播临界速率与晶格中群体密度密切相关,并且个体运动也会显著影响疾病传播行为。最后,基于分析和仿真的结果,提出了一些可行的控制策略来抑制疾病在移动环境下的传播。
【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;
- 【文献出处】 吉林大学学报(工学版) ,Journal of Jilin University(Engineering and Technology Edition) , 编辑部邮箱 ,2009年05期
- 【分类号】TP399-C8
- 【被引频次】5
- 【下载频次】586