Punctuated evolution due to delayed carrying capacity

Physica D: Nonlinear Phenomena

Volumn 238, Issue 17, 2009, Pages 1752-1767

  Yukalov, V I ^a,b   Yukalova, E P ^a,c   Sornette, D ^a,d  

^a ETH ZURICH   (Switzerland)

^b JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^c JOINT INSTITUTE FOR NUCLEAR RESEARCH   (Russian Federation)

^d UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

Delay equations; Population dynamics; Punctuated evolution

Indexed keywords

NONLINEAR EQUATIONS; POPULATION DYNAMICS;

COMPLEX NONLINEAR SYSTEM; DELAY EQUATIONS; EXPONENTIAL GROWTH; FINITE TIME SINGULARITY; MONOTONIC DECAY; NUMERICAL INVESTIGATIONS; PARAMETER RANGE; PUNCTUATED EVOLUTION;

POPULATION STATISTICS;

EID: 67651222117     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2009.05.011     Document Type: Article

References (65)

1. Korotayev A. In: Turchin P. (Ed). History and Mathematics: Historical Dynamics and Development of Complex Societies (2007), Komkniga, Moscow 44-62
2. Bettencourt L.M., Lobo J., Helbing D., Kuhnert C., and West G.B. Proc. Natl. Acad. Sci. 104 (2007) 7301-7306
3. Modis T. Futurist N5 (2003) 26-31
4. Modis T. Technol. Forecast. Soc. Change 47 (1994) 63-73
5. Eldredge N., and Gould S.J. In: Schopf T.J. (Ed). Models in Paleobiology (1972), Freeman, San Francisco 82-115
6. Gould S.J. Natural Hist. 86 (1977) 12-16
7. Gould S.J. Science 216 (1982) 380-387
8. Eldredge N. Time Frames (1985), Simon and Schuster, New York
9. Gould S.J. The Structure of Evolutionary Theory (2002), Harvard University, Cambridge
10. Meyer E. Animal Species and Evolution (1963), Harvard University, Cambridge
11. Meyer E. Evolution and the Diversity of Life (1976), Belknap, Cambridge
12. Meyer E. The Growth of Biological Thought (1982), Harvard University, Cambridge
13. Meyer E. One Long Argument (1991), Harvard University, Cambridge
14. Prothero D.R. Skeptic 1 (1992) 38-47
15. Darwin C. On the Origin of Species (1859), Murray, London
16. Simon H. Quarter. J. Econ. 69 (1955) 99-118
17. Givel M. Policy Stud. J. 43 (2006) 405-418
18. Gersick C.J. Acad. Manag. J. 31 (1988) 9-41
19. Gersick C.J. Acad. Manag. Rev. 16 (1991) 10-36
20. Arrow H., Poole M.S., Henry K.B., Wheelan S., and Moreland R. Small Group Res. 35 (2004) 73-105
21. Wilmore J.H., Costill D.L., and Kenney W.L. Physiology of Sport and Exercise (2008), Human Kinetics, Champaign
22. Verhulst P.F. Corr. Math. Phys. 10 (1838) 113-117
23. Hutchinson G.E. Ann. NY Acad. Sci. 50 (1948) 221-246
24. Jingwen L. Appl. Math. B 11 (1996) 165-174
25. Marchetti C., Meyer P.S., and Ausubel J.H. Technol. Forecast. Soc. Changes 52 (1996) 1-30
26. Louzoun Y., Solomon S., Goldenberg J., and Mazursky D. Artif. Life 9 (2003) 357-370
27. Gabriel J.P., Saucy F., and Bersier L.F. Ecol. Model. 185 (2005) 147-151
28. Hui J., and Chen L. IMA J. Appl. Math. 70 (2005) 479-487
29. Berezowski M., and Fudala E. Chaos Solit. Fract. 28 (2006) 543-554
30. Arino J., Wang L., and Wolkowicz G.S. J. Theor. Biol. 241 (2006) 109-119
31. Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics (1992), Kluwer, Dordrecht
32. Kolmanovskii V., and Myshkis A. Introduction to the Theory and Applications of Functional Differential Equations (1999), Kluwer, Dordrecht
33. In: Arino O., Hbid M.L., and Dads E.A. (Eds). Delay Differential Equations and Applications (2006), Springer, Dordrecht
34. Laurence W.F. Biol. Conserv. 91 (1999) 109-117
35. Pimm S.L., and Raven P. Nature 403 (2000) 843-845
36. Sanderson E.W., Jaiteh M., Levy M.A., Redford K.H., Wannebo A.V., and Woolmer G. Biosciences 52 (2002) 891-904
37. McKee J.K., Sciulli P.W., Fooce C.D., and Waite T.A. Biol. Conserv. 115 (2003) 161-164
38. Hern W.M. Populat. Environm. 21 (1999) 59-80
39. Sornette D. Phys. Rep. 378 (2003) 1-98
40. Sornette D. Why Stock Markets Crash (2003), Princeton University, Princeton
41. Darcet D., and Sornette D. J. Econ. Interact. Coord. 3 (2008) 137-163
42. Brierly S.D., Chiasson J.N., Lee E.B., and Zak S.H. IEEE Trans. Automat. Control. 27 (1982) 252-254
43. Hale J.K., Infante E.F., and Tsen F.P. J. Math. Anal. Appl. 105 (1985) 533-555
44. Kolmanovskii V.B., Torelli L., and Vermiglio V. SIAM J. Math. Anal. 25 (1994) 948-961
45. Chen J. IEEE Trans. Automat. Control. 40 (1995) 1087-1093
46. Mao X. Syst. Contr. Lett. 28 (1996) 159-165
47. Losson J., Mackey M.C., and Longtin A. Chaos 3 (1993) 167-176
48. Farmer J.D. Physica D 4 (1982) 366-393
49. Cowen R. The History of Life (1994), Blackwell Science, Cambridge
50. Leakey R., and Lewin R. La Sixiéme Extinction (1999), Flammarion, Paris
51. Sawyer R.J. Calculating God (2000), Tom Doherty, New York
52. Wilson E.O. The Future of Life (2002), Random House, New York
53. Rhonde R.A., and Muller R.A. Nature 434 (2005) 209-210
54. Ward P.D. Under Green Sky (2007), Harper Collins, New York
55. Yukalov V.I., and Shumovsky A.S. Lectures on Phase Transitions (1990), World Scientific, Singapore
56. Yukalov V.I. Phys. Rep. 208 (1991) 395-492
57. Sornette D. Critical Phenomena in Natural Sciences (2004), Springer, Berlin
58. Johansen A., and Sornette D. Physica A 294 (2001) 465-502
59. Ausubel J.H., and Meyer P.S. Human Dimens. Quart. 1 (1994) 17-19
60. BP Statistical Review of World Energy, London, 2008
61. Ginther D.K., and Kahn S. J. Econ. Perspect. 18 (2004) 193-214
62. Yakovlev A.Y., Boucher K., Mayer-Proschel M., and Noble M. Proc. Natl. Acad. Sci. USA 95 (1998) 14164-14167
63. Balzarini J., Degreve B., Hatse S., De Clerco E., Breuer M., Johansson M., Huybrechts R., and Karlsson A. Molec. Pharmacol. 57 (2000) 811-819
64. Cougot N., Babajko S., and Seraphin B. J. Cell Biol. 165 (2004) 31-40
65. Marchetti C., Meyer P.S., and Ausubel J.H. Technol. Forecast. Social Change 52 (1996) 1-30