Emergent turing pattern in epidemic spreading using cellular automaton

International Journal of Modern Physics B

Volumn 25, Issue 32, 2011, Pages 4605-4613

  Sun, Gui Quan ^a   Jin, Zhen ^a   Li, Li ^a  

^a NORTH UNIVERSITY OF CHINA   (China)

Author keywords

cellular automaton; Epidemic spreading; Turing pattern

Indexed keywords

EID: 84862829107     PISSN: 02179792     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217979211059401     Document Type: Article

References (22)

1. V. Castets et al., Phys. Rev. Lett. 64, 2953 (1990).
2. B. Hasslacher, R. Kapral and A. T. Lawniczak, Chaos 3, 7 (1993).
3. Q. Ouyang and H. L. Swinney, Nature 352, 610 (1990).
4. A. Hagberg and E. Meron, Phys. Rev. Lett. 72, 2494 (1994).
5. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
6. H. Bussemaker, A. Deutsch and E. Geigant, Phys. Rev. Lett. 78, 5018 (1997).
7. A. M. Turing, Philos. Trans. R. Soc. Lond. 237, 37 (1952).
8. D. Andreas and D. Sabine, Cellular Automaton Modeling of Biological Pattern Formation (Springer, Berlin, 2005).
9. M. J. Keeling et al., Science 294, 813 (2001).
10. D. L. Smith et al., Proc. Natl Acad. Sci. USA 99, 3668 (2002).
11. M. J. Keeling et al., Nature 421, 136 (2003).
12. G. Sun et al., J. Stat. Mech. P11011 (2007).
13. G.-Q. Sun et al., J. Stat. Mech. P08011 (2008).
14. L. Li, Z. Jin and G.-Q. Sun, Chin. Phys. Lett. 25, 3500 (2008).
15. G.-Q. Sun et al., Chin. Phys. Lett. 25, 2296 (2008).
16. L. Li, G.-Q. Sun and Z. Jin, J. Biol. Syst. 17, 319 (2009).
17. G.-Q. Sun et al., J. Biol. Syst. 17, 141 (2009).
18. U. Dieckmann, R. Law and J. A. J. Metz, The Geometry of Ecological Interactions: Simplifying Spatial Complexity (Cambridge University Press, Cambridge, England, 2000).
19. Q.-X. Liu, Z. Jin and M.-X. Liu, Phys. Rev. E 74, 031110 (2006).
20. R. S. Ostfeld, G. E. Glass and F. Keesing, Trends Ecol. Evol. 20, 328 (2005).
21. D. A. Cummings et al., Nature 427, 344 (2004).
22. B. T. Grenfell, O. N. Bjønstad and J. Kappey, Nature 414, 716 (2001).