Bifurcations of travelling waves in population taxis models

Uspekhi Fizicheskikh Nauk

Volumn 169, Issue 9, 1999, Pages 1023-1024

  Berezovskaya, F S ^a   Karev, G P ^a  

^a RUSSIAN ACADEMY OF SCIENCES   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042635415     PISSN: 00421294     EISSN: None     Source Type: Journal    
DOI: 10.3367/ufnr.0169.199909d.1011     Document Type: Article

References (66)

1. Patlak C S Bull. Math. Biophys. 15 311 (1953)
2. Adler J Sciences 153 708 (1966)
3. Keller E F, Segel L A J. Theor. Biol. 30 235 (1971)
4. Keller E F, in Chemotaxis: its Biology and Biochemestry (Antibiotics and Chemotherapy, Vol. 19, Ed. E Sorkin) (Basel: S. Karger, 1974)
5. Monk A, Othmer H G Philos. Trans. R. Soc. London 323 185 (1989)
6. Murray J D Mathematical Biology (Biomathematics, Vol. 19) 2nd, corr. ed. (Berlin: Springer-Verlag, 1993)
7. Alle W C Animal Aggregation: a Study in General Sociology (Chicago: Chicago Press, 1931)
8. Ludwig D, Jones D D, Holling C S J. Animal Ecology 47 315 (1978)
9. Davis B Probab. Th. Rel. Fields 84 203 (1990)
10. Othmer H G, Stevens A SIAM J. Appl. Math. 57 1044 (1997)
11. Turing A M Philos. Trans. R. Soc. London Ser. B 237 37 (1952)
12. Jorne J J. Theor. Biol. 65 133 (1977)
13. Okubo A Diffusion and Ecological Problems: Mathematical Models (Biomathematics, Vol. 10) (Berlin: Spriger-Verlag, 1980)
14. Levin S A, in Proc. of a Conf. on Differential Equations and Applications in Ecology, Epidemics, and Population Problems, Claremont, Calif., 1981 (Eds S N Busenberg, K L Cooke) (New York: Academic Press, 1981) p. 1
15. Aronson D G, in Mathematical Biology and Medicine (Eds V Capasso, E Grosso, S L Paveri-Fontana) (1985) p. 2
16. Wei-Ming Ni Notices 45 9 (1998)
17. Kopell N, Howard L N Stud. Appl. Math. LII 291 (1973)
18. Fife P, McLeod J B Arch. Rat. Mech. Anal. 65 333 (1977)
19. Levin S A, Segel L A SIAM Rev. 27 45 (1985)
20. Jager W, Luckhaus S Trans. AMS 329 819 (1992)
21. Agladze K L et al. Proc. R. Soc. London B. Biol. Sci. 253 131 (1993)
22. Stevens A J. Biol. Sci. 3 1059 (1995)
23. Kopell N, Howard L N Adv. Math. 18 306 (1975)
24. Dumortier F, Rossarie R, Sotomayor J, in Lect. Notes Math. Vol. 1480 (Berlin: Springer, 1991)
25. Kuznetsov Yu A Elements of Applied Bifurcation Theory (Applied Mathematics Science, Vol. 112) (New York: Springer-Verlag, 1995)
26. Khibnik A, Krauskopf B, Rousseau C Nonlinearity 11 1505 (1998)
27. Fisher R A Ann. Eugenics 7 355 (1937)
28. Nagumo J, Yoshikawa S, Arimoto S IEEE Trans. Commun. Technol. 12 400 (1965)
29. Dumortier F, Rousseau C Nonlinearity 3 1015 (1990)
30. Keller E F, Segel L A Theor. Biol. 26 399 (1970)
31. Budrene E O, Berg H C Nature (London) 349 630 (1991)
32. Maini P K, Murray J D, Oster G F, in Lect. Notes Math. Vol. 1151 (Berlin: Springer, 1985) p. 252
33. Maginu K J. Diff. Eq. 139 73 (1981)
34. Sattinger D H Adv. Math. 22 312 (1976)
35. Evanse J W, Feroe J Math. Biosci. 37 23 (1977)
36. Conley C C, Smoller J, in Lect. Notes Math. Vol. 525 (Berlin: Springer, 1976) p. 77
37. Cartwright J H E, Hermandez-Garcia E, Piro O Phys. Rev. Lett. 79 527 (1997)
38. Gueron S, Liron N J. Math. Biol. 27 595 (1989)