A Simulation of Cellular Automata Based on the SIR Infectious Disease Model with Multifactorial Constraints

Zheng San-qiang; Han Xiao-zhuo

doi:10.12052/gdutxb.180058

English Version Journal Login

您当前的位置：

首页 >

文章列表页 >

A Simulation of Cellular Automata Based on the SIR Infectious Disease Model with Multifactorial Constraints

更新时间：2026-05-27

- A Simulation of Cellular Automata Based on the SIR Infectious Disease Model with Multifactorial Constraints
- Vol. 35, Issue 5, Pages: 51-59(2018)
- 作者机构：
  
  广东工业大学　应用数学学院,广东,广州,510520
- 作者简介：
- 基金信息：
- DOI：10.12052/gdutxb.180058
  CLC： TP301.1
- Online First：10 July 2018，
  
  Published：2018
- 稿件说明：
移动端阅览
郑三强, 韩晓卓. 多因素制约下的SIR传染病模型的元胞自动机仿真模拟研究[J]. 广东工业大学学报, 2018, 35(5): 51-59.

Zheng San-qiang, Han Xiao-zhuo. A Simulation of Cellular Automata Based on the SIR Infectious Disease Model with Multifactorial Constraints[J]. 2018, 35(5): 51-59.
郑三强, 韩晓卓. 多因素制约下的SIR传染病模型的元胞自动机仿真模拟研究[J]. 广东工业大学学报, 2018, 35(5): 51-59. DOI： 10.12052/gdutxb.180058.

Zheng San-qiang, Han Xiao-zhuo. A Simulation of Cellular Automata Based on the SIR Infectious Disease Model with Multifactorial Constraints[J]. 2018, 35(5): 51-59. DOI： 10.12052/gdutxb.180058.

摘要

针对多因素传染病的精确仿真

根据非高斯传染模型下模拟感染者的随机游走行为

通过构造传染病中心疫区的高斯压力死亡模型

采用基于sigmoid函数的痊愈率与不同隔离强度模拟感染者个体的被动转化行为

且其行为的发生服从动态泊松概率

建立了一类多因素制约下的元胞自动机传染病模型. 通过对比实验发现

该模型的模拟仿真稳定

且能较精确仿真疫病传播的实际情况

相比目前的模型具有更高的精度.

Abstract

Aiming at accurate simulation of multifactor infectious diseases and using Gauss-pressure model to simulate death in a central epidemic area

using the recovery rate and isolation intensity based on the sigmoid function to simulate the passive transformation of the infected individual

with the probability of the occurrence of its behavior obeying the dynamic probability

a multi-factor cellular automata infections disease model is established. Some comparison experiments are carried out on the model

and the results show that the model is more stable and more able than the current model to accurately simulate the actual situation of epidemic disease transmission.

关键词

Keywords

references

SCHNECKENREITHER G, POPPER N, ZAUNER G, et al . Modelling SIR-type epidemics by ODEs, PDEs, difference equations and cellular automata — a comparative study [J ] . Simulation Modelling Practice Theory, 2008, 16(8): 1014-1023.

YU L, XUE H F, GAO X Y, et al . Epidemic spread model based on cellular automata [J ] . Computer Engineering and Applications, 2007, 43(2): 196-198.

TAN X X, DAI Q W, SHI P Y, et al . CA-based epidemic propagation model with inhomogeneity and mobility [J ] . Journal of Dalian University of Technology, 2013, 53(6): 908-914.

WHITE S H, REY A M D, SÁNCHEZ G R. Modeling epidemics using cellular automata [J]. Applied Mathematics Computation, 2007, 186(1): 193-202.

VENKATACHALAM S, MIKLER A R. An infectious disease outbreak simulator based on the cellular automata paradigm[C]// Innovative Internet Community Systems, International workshop, Iics 2004, Guadalajara, Mexico, June 21-23, 2004, Revised Papers. DBLP, 2004: 198-211.

LI S, NIENKE H, NIKO S, et al . Consequences of landscape fragmentation on lyme disease risk: a cellular automata approach [J ] . Plos One, 2012, 7(6): e39612-e39612.

SANTOS L B L, COSTA M C, PINHO S T R, et al . Periodic forcing in a three-level cellular automata model for a vector-transmitted disease [J ] . Physical Review E Statistical Nonlinear Soft Matter Physics, 2009, 80(2): 016102.

LI L, XUAN H Y, GAO B J. CA-based heterogeneous epidemic model for HIV/AIDS transmission [J]. Journal of Systems Management, 2008, 17(6): 704-710.

WANG Z J, ZHANG L L. A heterogeneous cellular automata model with age structure for HIV transmission [J]. Journal of Wuhan University of Technology (Information Management Engineering), 2014, 36(2): 145-149.

ZHANG L J. Control and prediction of cellular automata epidemic model under a complex system [J]. Operations Research and Fuzziology, 2017, 07(4): 91-103.

GUAN C, PENG Y, YUAN W Y. A cellular automaton model with medical intervention for epidemic propagation [J]. Journal of Beijing University of Chemical Technology (Natural Science Edition), 2011, 38(6): 109-113.

CHOPARD B, DROZ M. 物理系统的元胞自动机模拟[M]. 祝玉学, 赵学龙, 译. 北京: 清华大学出版社, 2003:10-12.

WOLFRAM S, MALLINCKRODT A J. Cellular automata and complexity [J]. Computers in Physics, 1995, 9(1): 55-55.

靳祯. 网络传染病动力学建模与分析[M]. 北京: 科学出版社, 2014.

TIAN B B, LI Q, ZHOU M L. Simulation of cellular automata for virus propagation on complex network [J]. Computer Engineering, 2008, 34(23): 78-279.

WOLFRAM S. Cellular automata as models of complexity [J]. Nature, 1984, 311(5985): 419-424.

WOLFRAM S. Theory and applications of cellular automata [J]. World Scientific, 1986, 43(12): 1346-1357.

JING X G. The simulation of cellular automata based on matlab [J]. Computer Simulation, 2002, 19(4): 27-30.

游爱丽. 基于元胞自动机的SIR传染病模型[D]. 乌鲁木齐: 新疆大学数学与系统科学学院, 2010.

APENTENG O O. The use of cellular automata for modelling (Sir)N diseases with migratory reinfection[C]// International Conference on Computer Research and Development. New York: ASME, 2013.

SATSUMA J, WILLOX R, RAMANI A, et al . Extending the SIR epidemic model [J ] . Physica A Statistical Mechanics Its Applications, 2004, 336(3): 369-375.

SIRAKOULIS G C, KARAFYLLIDIS I, THANAILAKIS A. A cellular automaton model for the effects of population movement and vaccination on epidemic propagation [J]. Ecological Modelling, 2000, 133(3): 209-223.

MITCHELL M, CRUTCHFIELD J P, HRABER P T. Evolving cellular automata to perform computations: mechanisms and impediments [J]. Physica D Nonlinear Phenomena, 1994, 75(1-3): 361-391.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Robust Design for Artificial Noise-assisted UAV Terahertz Secure Communication

A Study of Power Quality Regulation Strategies of Energy Storage Converters

Bimodal Iterative Cross-attention Fusion Ensemble Framework

Research on Foreign Object Detection in Power Transmission Lines Based on the AAGV-YOLOX Model

An Optimal Operation Strategy for Community Microgrid Alliances Considering Power Exchange under Multi-package Shared Energy Storage Model

Related Author

No data

Related Institution

No data

AI问答

⁰