Catastrophic extinction, noise-stabilized turbulence and unpredictability of competition in a modified Volterra-Lotka model

Chaos

Volumn 6, Issue 1, 1996, Pages 78-86

  Goryachev, A B ^a   Polezhaev, A A ^a   Chernavskii, D S ^a  

^a LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009013131     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.166152     Document Type: Article

References (19)

1. L.A. Segel and J.L. Jackson, J. Theor. Biol. 37, 545 (1972).
2. L.A. Segel and S.A. Levin, in Topics in Statistical Mechanics and Biophysics, AIP Conf. Proc. 27 (American Institute of Physics, New York, 1976), p. 123.
3. G.F. Gause, The Struggle for Existence (William and Wilkins, Baltimore, 1934).
4. A. Okubo, Diffusion and Ecological Problems: Mathematical Models (Springer-Verlag, Berlin, 1980).
5. N. Shigesada, K. Kawasaki, and E. Teramoto, J. Theor. Biol. 79, 83 (1979).
6. N. Shigesada and J. Roughgarden, Theor. Pop. Biol. 21, 353 (1982).
7. M. Mimura and K. Kawasaki, J. Math. Biol. 9, 49 (1980).
8. N.F. Britton, J. Theor. Biol. 136, 57 (1989).
9. N.F. Britton, SIAM J. Appl. Math. 50, 1663 (1990).
10. M.C. Cross and P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
11. M.I. Dykman, M.M. Millonas, and V.N. Smelyanskiy, Phys. Lett. A 195, 53 (1994).
12. W.C. Alle, Animal Agregation: A Study in General Sociology (Chicago University Press, Chicago, 1931).
13. H. Haken, Synergetics. An Introduction (Springer-Verlag, Berlin, 1978).
14. F. Schlögl, Z. Phys. 253, 147 (1972).
15. A.B. Goryachev, A.A. Polezhaev, and D.S. Chernavskii, Biofizika 39, 726 (1994).
16. W. Horsthemke and R. Lefever, Noise-Induced Transitions (Springer-Verlag, Berlin, 1984).
17. A.B. Goryachev, A.A. Polezhaev, and D.S. Chernavskii, Mat. Model, (in press).
18. S.A. Kaufmann and S. Johnson, J. Theor. Biol. 149, 467 (1991).
19. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. A 38, 364 (1988).