Population dynamics near an oasis with time-dependent convection

Journal of Statistical Physics

Volumn 99, Issue 3-4, 2000, Pages 1021-1030

  Franosch, T ^a   Nelson, David R ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

Biological physics; Ecological pattern formation; Nonlinear dynamics; Population dynamics

Indexed keywords

EID: 0034335656     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1018607932123     Document Type: Article

References (11)

1. D. R. Nelson and N. M. Shnerb, Non-hermitian localization and population biology, Phys. Rev. E 58:1383 (1998); See also N. Hatano and D. R. Nelson, Vortex pinning and non-Hermitian quantum mechanics, Phys. Rev. B 56:8651 (1997).
2. D. R. Nelson and N. M. Shnerb, Non-hermitian localization and population biology, Phys. Rev. E 58:1383 (1998); See also N. Hatano and D. R. Nelson, Vortex pinning and non-Hermitian quantum mechanics, Phys. Rev. B 56:8651 (1997).
3. H. Tennekes and J. L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, 1972); U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995).
4. H. Tennekes and J. L. Lumley, A First Course in Turbulence (MIT Press, Cambridge, 1972); U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1995).
5. A. R. Robinson, On the theory of advective effects on biological dynamics in the sea, Proc. R. Soc. London A 453:2295 (1997).
6. R. V. Vincent and N. A. Hill, Bioconvection in a suspension of phototactic algae, J. Fluid Mech. 327:343 (1996).
7. K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, Life and Death near a windy oasis, J. Math. Biology (in press), http://xxx.lanl.gov/abs/cond-mat/9807394; See also http://xxx. lanl.gov/abs/cond-mat/9903276.
8. K. A. Dahmen, D. R. Nelson, and N. M. Shnerb, Life and Death near a windy oasis, J. Math. Biology (in press), http://xxx.lanl.gov/abs/cond-mat/9807394; See also http://xxx. lanl.gov/abs/cond-mat/9903276.
9. J. D. Murray, Mathematical Biology (Springer-Verlag, New York, 1993).
10. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, New York, 1965), Sec. 45.
11. J. Zinn-Justin, Quantum Field Theory and Critical Phenomena (Clarendon Press, Oxford, 1989).