Rock-scissors-paper game in a chaotic flow: The effect of dispersion on the cyclic competition of microorganisms

Journal of Theoretical Biology

Volumn 236, Issue 1, 2005, Pages 12-20

  Károlyi, György ^a   Neufeld, Zoltán ^b,d   Scheuring, István ^c  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^b CENTER FOR NONLINEAR STUDIES   (United States)

^c EÖTVÖS LORÁND UNIVERSITY   (Hungary)

^d UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

Chaotic mixing; Coexistence; Non transitive competition; Rock scissors paper game

Indexed keywords

AQUATIC ENVIRONMENT; CHAOTIC DYNAMICS; COEXISTENCE; COMPETITION (ECOLOGY); DISPERSION; MICROORGANISM;

AQUEOUS SOLUTION; ARTICLE; CHAOTIC DYNAMICS; CONTROLLED STUDY; DISPERSION; GENETIC HETEROGENEITY; NONHUMAN; OSCILLATION; PHENOTYPE; PRIORITY JOURNAL; SPATIAL SUMMATION; SPECIES DIVERSITY; SPECIES EXTINCTION;

ANIMALS; BIODIVERSITY; COMPUTER SIMULATION; DEMOGRAPHY; ECOSYSTEM; MICROBIOLOGY; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; POPULATION DYNAMICS; TOXINS, BIOLOGICAL; WAR;

EID: 20444488019     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jtbi.2005.02.012     Document Type: Article

References (51)

1. E.R. Abraham The generation of plankton patchiness by turbulent stirring Nature 391 1998 577 580
2. J. Adams, T. Kinney, S. Thompson, L. Rubin, and R.B. Helling Frequency-dependent selection for plasmid-containing cells of Escherichia coli Genetics 91 1979 627 637
3. J. Arístegui The influence of island-generated eddies on chlorophyll distribution: a study of mesoscale variation around Gran Canaria Deep-Sea Research I 44 1997 71 96
4. L.W. Buss, and J.B.C. Jackson Competitive networks: nontransitive competitive relationships in cryptic coral reef environments Am. Nat. 113 1979 223 234
5. L. Chao, and B.R. Levin Structured habitats and the evolution of anti-competitor toxins in bacteria Proc. Natl Acad. Sci. USA 78 1981 6324 6328
6. K.F. Chater, and R. Losick Mycelial life style of Streptomyces coelicolor A3(2) and its relatives J.A. Shapiro M. Dworkin Bacteria as Multicellular Organisms 1997 Oxford University Press Oxford 149 182
7. P. Chesson Mechanism of maintenance of species diversity Annu. Rev. Ecol. Syst. 31 2000 343 366
8. T.L. Czárán, and R.F. Hoekstra Killer-sensitive coexistence in metapopulations of microorganisms Proc. Roy. Soc. Ser. B 270 2003 1373 1378
9. T.L. Czárán, R.F. Hoekstra, and L. Pagie Chemical warfare between microbes promotes biodiversity Proc. Natl Acad. Sci. USA 99 2002 786 790
10. R. Durrett, and S. Levin The importance of being discrete (and spatial) Theor. Popul. Biol. 46 1994 363 394
11. R. Durrett, and S. Levin Allelopathy in spatially distributed populations J. Theor. Biol. 185 1997 165 171
12. R. Durrett, and S. Levin Spatial aspects of interspecific competition Theor. Popul. Biol. 53 1998 30 43
13. M. Feldgarden, and M.A. Riley The phenotypic and fitness effects of colicin resistance in Escherichia coli K-12 Evolution 53 1999 1019 1027
14. M. Frean, and E.R. Abraham Rock-scissors-paper and the survival of the weakest Proc. Roy. Soc. Lond. B 268 2001 1323 1327
15. M. Giona, A. Adrover, F.J. Muzzio, S. Cerbelli, and M.M. Alvarez The geometry of mixing in time-periodic chaotic flows Physica D 132 1999 298 324
16. G.M. Hallegraeff A review of harmful algae blooms and the apparent global increase Phycologia 32 1993 79 99
17. A. Hastings Transients: the key to long-term ecological understanding? Trends. Ecol. Evol. 19 2004 39 45
18. E. Hernández-Garcia, and C. López Clustering, advection and patterns in model of population dynamics with neighborhood-dependent rates Phys. Rev. E 70 2004 016216 (1-11)
19. J. Hofbauer, and K. Sigmund Evolutionary Games and Replicator Dynamics 1998 Cambridge University Press Cambridge
20. J. Huisman, and F.J. Weissing Biodiversity of plankton by species oscillations and chaos Nature 402 1999 407 410
21. J. Huisman, and F.J. Weissing Fundamental unpredictability in multispecies competition Am. Nat. 157 2001 488 494
22. J. Huisman, A.M. Johansson, E.O. Folmer, and F.J. Weissing Toward a solution of the plankton paradox: the importance of physiology and life history Ecol. Lett. 4 2001 408 411
23. F.D. Hulot, and J. Huisman Allelopathic interactions between phytoplankton species: the roles of heterotrophic bacteria and mixing intensity Limnol. Oceanogr. 49 2004 1424 1434
24. G.E. Hutchinson The paradox of plankton Am. Nat. 95 1961 137 147
25. Y. Iwasa, M. Nakamaru, and S.A. Levin Allelopathy of bacteria in a lattice population: competition between colicin-sensitive and colicin-producing strains Evol. Ecol. 12 1998 785 802
26. Gy. Károlyi, Á. Péntek, I. Scheuring, T. Tél, and Z. Toroczkai Open chaotic flow: the physics of species coexistence Proc. Natl Acad. Sci. USA 97 2000 13661 13665
27. B. Kerr, M.A. Riley, M.W. Feldman, and B.J.M. Bohannan Local dispersal promotes biodiversity in real-life game of rock-paper-scissors Nature 418 2002 171 174
28. B.C. Kirkup, and M.A. Riley Antibiotic-mediated antagonism leads to a bacterial game of rock-paper-scissors in vivo Nature 428 2004 412 414
29. M. Nakamaru, and Y. Iwasa Competition by allelopathy proceeds in travelling waves: colicin-immune strain aids colicin-sensitive strain Theor. Popul. Biol. 57 2000 131 144
30. Z. Neufeld, I.Z. Kiss, C.S. Zhou, and J. Kurths Synchronization and oscillator death in oscillatory media with stirring Phys. Rev. Lett. 91 2003 084101
31. J.M. Ottino, C.W. Leong, H. Rising, and P.D. Swanson Morphological structures produced by mixing in chaotic flows Nature 333 1988 419 425
32. R.T. Paine Ecological determinism in competition for space Ecology 65 1984 1339 1348
33. C.E. Paquin, and J. Adams Relative fitness can decrease in evolving asexual populations of S. cerevisiae Nature 306 1983 368 371
34. R.T. Pierrehumbert Lattice models of advection-diffusion Chaos 10 2000 61 74
35. A.R. Putnam, and C.S. Tang The Science of Allelopathy 1986 Wiley New York
36. C.S. Reynolds Scales of disturbance and their role in plankton ecology Hydrobiologia 249 1993 157 171
37. M.A. Riley, and D.M. Gordon A survey of Col plasmids in natural isolates of Escherichia coli and an investigation into the stability of Col-plasmid lineages J. Gen. Microbiol. 138 1992 1345 1352
38. M.A. Riley, and D.M. Gordon The ecological role of bacteriocins in bacterial competition Trends Microbiol. 7 1999 129 133
39. M. Scheffer Ecology of Shallow Lakes 1998 Chapman & Hall London
40. I. Scheuring, Gy. Károlyi, Z. Toroczkai, T. Tél, and Á. Péntek Competing populations in flows with chaotic mixing Theor. Popul. Biol. 63 2003 77 90
41. P. Schippers, A.M. Verschoor, M. Vos, and W.M. Mooij Does "supersaturated coexistence" resolve the paradox of the plankton? Ecol. Lett. 4 2001 404 407
42. B. Sinervo, and C.M. Lively The rock-scissors-paper game and the evolution of alternative male strategies Nature 340 1996 240 243
43. U. Sommer Competition and coexistence in plankton communities U. Sommer B. Worm Competition and Coexistence 2002 Springer Berlin
44. W.T. Starmer, P.F. Ganter, V. Aberdeen, M. Lachance, and H.J. Phaff The ecological role of killer yeasts in natural communities of yeast Can. J. Microbiol. 33 1987 783 796
45. Gy. Szabó, A. Szolnoki, and R. Izsák Rock-scissors-paper game on regular small-world networks J. Phys. A 37 2004 2599 2609
46. K. Tainaka Vortices and strings in model ecosystem Phys. Rev. E. 50 1994 3401 3409
47. T. Toffoli, and N. Margolus Cellular Automata Machines: A New Environment for Modelling 1987 MIT Press Cambridge, MA
48. F. Varosi, T.M. Antonsen, and E. Ott The spectrum of fractal dimensions of passively convected scalar gradients in chaotic fluid flows Phys. Fluids A 3 1991 1017 1028
49. B. Wilson Mechanisms of species coexistence: twelve explanations for Hutchinson's "paradox of plankton": evidence from New Zealand plant communities NZ J. Ecol 43 1990 17 42
50. S. Wium-Andersen, C. Christophersen, and G. Houen Allelopathic effects on phytoplankton by substances isolated from aquatic macrophytes (Charales) Oikos 39 1982 187 190
51. W.R. Young, A.J. Roberts, and G. Stuhne Reproductive pair correlations and the clustering of organisms Nature 412 2001 328 331