Integration of small world networks with multi-agent systems for simulating epidemic spatiotemporal transmission

Chinese Science Bulletin

Volumn 55, Issue 13, 2010, Pages 1285-1293

  Liu, Tao ^a   Li, Xia ^a   Liu, XiaoPing ^a  

^a SUN YAT SEN UNIVERSITY   (China)

Author keywords

Epidemic; Geographic information system; Multi agent system; Small world network; Spatiotemporal transmission

Indexed keywords

EID: 77952205552     PISSN: 10016538     EISSN: 18619541     Source Type: Journal    
DOI: 10.1007/s11434-009-0623-3     Document Type: Article

References (32)

1. Kermack W O, McKendrick A G. A contribution to the mathematical theory of epidemics. In: Proceedings of the Royal Society of London (Series A). London: The Royal Society, 1927. 700-721.
2. Ma Z N, Zhou Y C, Wang W D, et al. Mathematical Modeling and Dynamics of Infectious Diseases (in Chinese). Beijing: Science Press, 2004. 3-9.
3. Shi Y L. Stochastic dynamic model of SARS spreading. Chinese Sci Bull, 2003, 48: 1287-1292.
4. Wang H Y, Rong F, Ke F J, et al. Control dynamics of severe acute respiratory syndrome transmission. Chinese Sci Bull, 2003, 48: 2684-2687.
5. Stefano B D, Fukś H, Lawniczak A. Object-oriented implementation of CA/LGCA modelling applied the spread of epidemics. In: Proceedings of the IEEE Canadian Conference on Electrical and Computer Engineering. Halifax: IEEE. 2000. 26-31.
6. Fu S C. Modelling epidemic spread using cellular automata. Dissertation for the Master Degree. Perth: University of Western Australia, 2002. 27-49.
7. Mikler A R, Venkatachalam S, Abbas K. Modeling infectious diseases using global stochastic cellular automata. J Biol Syst, 2005, 13: 421-439.
8. Zhang P, Atkinson P M. Modelling the effect of urbanization on the transmission of an infectious disease. Math Biosci, 2008, 211: 166-185.
9. Moore C, Newman M E J. Epidemics and percolation in small-world networks. Phys Rev E, 2000, 61: 5678-5682.
10. Chebeane H, Echalier F. Towards the use of a multi-agents event based design to improve reactivity of production systems. Comput Ind Eng, 1999, 37: 9-13.
11. Li X, Yeh A G O, Liu X P, et al. Geography Simulation System: Cellular Automata and Multi-agent (in Chinese). Beijing: Science Press, 2006. 250-258.
12. Liu X P, Li X, Yeh A G O. Multi-agent systems for simulating spatial decision behaviors and land-use dynamics. Sci China Ser D-Earth Sci, 2006, 49: 1184-1194.
13. Zhang H H, Zeng Y N, Jin X B, et al. Urban land expansion model based on multi-agent system and application (in Chinese). Acta Geogr Sin, 2008, 63: 869-881.
14. Liu Y, Chen Y. Simulation and analysis on the control of SARS by complexity adaptive system theory (in Chinese). Complex Sys Complexity Sci, 2004, 1: 74-79.
15. Deng H Z, Chi Y, Tan Y J. Multiagent-based simulation of disease infection (in Chinese). Comput Sim, 2004, 21: 167-170.
16. Morrill R L, Angulo J J. Spatial aspects of a smallpox epidemic in a small brazilian city. Geogr Rev, 1979, 69: 319-330.
17. Bian L. A conceptual framework for an individual-based spatially explicit epidemiological model. Environ Plann Plann Des, 2004, 31: 381-395.
18. Gong J H, Zhou J P, Xu S, et al. Dynamics model and multi-agent based simulation of SARS transmission (in Chinese). J Remote Sens, 2006, 10: 829-835.
19. Milgram S. The small world problem. Psych Today, 1967, 1: 60-67.
20. Watts D J, Strogatz S H. Collective dynamics of 'small-world' networks. Nature, 1998, 393: 440-442.
21. Wang J F. Spatial Analysis (in Chinese). Beijing: Science Press, 2006. 221-232.
22. Anderson R, May R. Infectious Diseases of Humans: Dynamics and Control. Oxford: Oxford University Press, 1991. 467-630.
23. Dodds P S, Watts D J. Universal behavior in a generalized model of contagion. Phys Rev Lett, 2004, 92: 218701.
24. Wang X F, Li X, Chen G R. Complex Network and Its Application (in Chinese). Beijing: Tsinghua University Press, 2006. 9-23.
25. Newman M E J, Watts D J. Renormalization group analysis of the small-world network model. Phys Lett A, 1999, 263: 341-346.
26. Bailey T C, Norman T J. The Mathematical Theory of Infectious Diseases and Its Applications. New York: Oxford University Press, 1975. 6-42.
27. Wang J F, McMichael A J, Meng B, et al. Spatial dynamics of an epidemic of severe acute respiratory syndrome in an urban area. B World Health Organ, 2006, 84: 965-968.
28. Zeng Y. Population Analysis Method and Its Application (in Chinese). Beijing: Peking University Press, 1993. 47-124.
29. Wang G Z. User Manual for CPPS (in Chinese), 2002.
30. Tian Y, Yue T, Zhu L, et al. Modeling population density using land cover data. Ecol Model, 2005, 189: 72-88.
31. Clark C. Urban population densities. J R Stat Soc A Stat, 1951, 114: 490-496.
32. Xie S H, Ning Y M. Modeling the spatial distribution of urban population density and its evolution in Guangzhou (in Chinese). Appl Stat Manage, 2006, 25: 518-522.