Spontaneous pattern formation and genetic invasion in locally mating and competing populations

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 65, Issue 5, 2002, Pages

  Sayama, Hiroki ^a,b   De Aguiar, Marcus A M ^a,c,d   Bar Yam, Yaneer ^a,e   Baranger, Michel ^a,d  

^a NEW ENGLAND COMPLEX SYSTEMS INSTITUTE   (United States)

^b UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

^c UNIVERSITY OF CAMPINAS   (Brazil)

^d MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^e HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

GENETIC INVASIONS; MATING; PATTERN FORMATION; POPULATION DENSITY;

COMPUTER SIMULATION; DYNAMICS; ITERATIVE METHODS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; SUBSTRATES;

GENETIC ENGINEERING;

EID: 41349101472     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.65.051919     Document Type: Article

References (37)

1. H. Sayama, L. Kaufman, and Y. Bar-Yam, Phys. Rev. E 62, 7065 (2000).
2. S. A. Levin and L. A. Segel, SIAM Rev. 27, 45 (1985).
3. R. Durrett and S. A. Levin, Philos. Trans. R. Soc. London, Ser. B 343, 329 (1994).
4. Spatial Ecology: The Role of Space in Population Dynamics and Interspecific Interactions, edited by D. Tilman and P. Kareiva (Princeton University Press, Princeton, NJ, 1997).
5. A. S. Gandhi, S. Levin, and S. Orszag, J. Theor. Biol. 192, 363 (1998).
6. A. S. Gandhi, S. Levin, and S. Orszag, J. Theor. Biol. 200, 121 (1999).
7. H. Sayama, L. Kaufman, and Y. Bar-Yam (unpublished).
8. S. Wright, Genetics 16, 97 (1931).
9. S. Wright, Am. Nat. 131, 115 (1988).
10. R. May, Nature (London) 261, 459 (1976).
11. M. J. Feigenbaum, J. Stat. Phys. 19, 25 (1978).
12. A. Turing, Philos. Trans. R. Soc. London, Ser. B 237, 37 (1952).
13. J. D. Murray, J. Theor. Biol. 88, 161 (1981).
14. D. Young, Math. Biosci. 72, 51 (1984).
15. Y. Bar-Yam, Dynamics of Complex Systems (Perseus Books, Reading, MA, 1997), Chap. 7.
16. J. Dethier, F. Baras, and M. M. Mansour, Europhys. Lett. 42, 19 (1998).
17. A. Lipowski, Phys. Rev. E 60, 5179 (1999).
18. J. M. Thoday, Philos. Trans. R. Soc. London, Ser. B 182, 109 (1972).
19. A. S. Kondrashov and F. A. Kondrashov, Nature (London) 400, 351 (1999).
20. U. Dieckmann and M. Doebeli, Nature (London) 400, 354 (1999).
21. M. A. M. de Aguiar, H. Sayama, E. Rauch, Y. Bar-Yam, and M. Baranger, Phys. Rev. E 65, 031909 (2002).
22. A. J. Bray, Adv. Phys. 43, 357 (1994).
23. I. Aranson, L. Tsimring, and V. Vinokur, Phys. Rev. Lett. 79, 3298 (1997).
24. F. Bagnoli and M. Bezzi, Phys. Rev. Lett. 79, 3302 (1997).
25. A. Aafif and J. Lin, Phys. Rev. E 57, 2471 (1998).
26. P. Sibani and A. Pedersen, Europhys. Lett. 48, 346 (1999).
27. A. Lipowski, Phys. Rev. E 61, 3009 (2000).
28. V. M. de Oliveira and J. F. Fontanari, Phys. Rev. Lett. 85, 4984 (2000).
29. A. Pekalski and K. Sznajd-Weron, Phys. Rev. E 63, 031903 (2001).
30. M. A. Harrison, Y. C. Lai, and R. D. Holt, Phys. Rev. E 63, 051905 (2001).
31. A. Colato and S. S. Mizrahi, Phys. Rev. E 64, 011901 (2001).
32. J. F. Crow, W. R. Engels, and C. Denniston, Evolution (Lawrence, Kans.) 44, 233 (1990).
33. N. H. Barton, Evolution (Lawrence, Kans.) 46, 551 (1992).
34. S. Gavrilets, Evolution (Lawrence, Kans.) 50, 1034 (1996).
35. P. C. Phillips, Evolution (Lawrence, Kans.) 50, 1334 (1996).
36. K. A. Lythgoe, Genet. Res. 69, 49 (1997).
37. J. A. Coyne, N. H. Barton, and M. Turelli, Evolution (Lawrence, Kans.) 51, 643 (1997).