-
1
-
-
0022890422
-
Travelling waves in diffusive predator-prey equations: Periodic orbits and point-to-periodic heteroclinic orbits
-
S.R. Dunbar, Travelling waves in diffusive predator-prey equations: periodic orbits and point-to-periodic heteroclinic orbits. SIAM J. Appl. Math., 46 (1986), 1057-1078.
-
(1986)
SIAM J. Appl. Math.
, vol.46
, pp. 1057-1078
-
-
Dunbar, S.R.1
-
2
-
-
0001944481
-
The statistical and mathematical analysis of plankton patchiness
-
M.J.R. Fasham, The statistical and mathematical analysis of plankton patchiness. Oceanogr. Marine Biology Annual Rev., 16 (1978), 43-79.
-
(1978)
Oceanogr. Marine Biology Annual Rev.
, vol.16
, pp. 43-79
-
-
Fasham, M.J.R.1
-
3
-
-
0003299218
-
Mathematical Aspects of Reacting and Diffusing Systems
-
Springer-Verlag, Berlin
-
P.C. Fife, Mathematical Aspects of Reacting and Diffusing Systems. Lecture Note in Biomathematics 28, Springer-Verlag, Berlin, 1979.
-
(1979)
Lecture Note in Biomathematics
, vol.28
-
-
Fife, P.C.1
-
4
-
-
0000268135
-
The wave of advance of advantageous genes
-
R. Fisher, The wave of advance of advantageous genes. Ann. Eugenics, 7 (1937), 255-369.
-
(1937)
Ann. Eugenics
, vol.7
, pp. 255-369
-
-
Fisher, R.1
-
5
-
-
0031033491
-
Chaotic beetles
-
C. Godfray and M. Hassell, Chaotic beetles. Science, 275 (1997), 323-326.
-
(1997)
Science
, vol.275
, pp. 323-326
-
-
Godfray, C.1
Hassell, M.2
-
7
-
-
0032079056
-
The minimal speed of travelling fronts for a diffusive Lotka-Volterra competition model
-
Y. Hosono, The minimal speed of travelling fronts for a diffusive Lotka-Volterra competition model. Bull. Math. Biol., 60 (1998), 435-448.
-
(1998)
Bull. Math. Biol.
, vol.60
, pp. 435-448
-
-
Hosono, Y.1
-
9
-
-
0002722044
-
A study of the equation of diffusion with increase in the quantity of matter, and its application to a biological problem
-
A.N. Kolmogorov, I.G. Petrovsky and N.S. Piskunov, A study of the equation of diffusion with increase in the quantity of matter, and its application to a biological problem. Moscow Univ. Bull. Math., 1 (1937), 1-25.
-
(1937)
Moscow Univ. Bull. Math.
, vol.1
, pp. 1-25
-
-
Kolmogorov, A.N.1
Petrovsky, I.G.2
Piskunov, N.S.3
-
10
-
-
0000588222
-
Plane wave solutions to reaction-diffusion equations
-
N. Kopell and L.N. Howard, Plane wave solutions to reaction-diffusion equations. Studies in Appl. Math., 52 (1973), 291-328.
-
(1973)
Studies in Appl. Math.
, vol.52
, pp. 291-328
-
-
Kopell, N.1
Howard, L.N.2
-
11
-
-
0002457823
-
Physical and biological scales and the modelling of predator-prey interactions in large marine ecosystems
-
(eds. K. Sherman, L.M. Alexander and B.D. Gold), AAAS, Washington
-
S.A. Levin, Physical and biological scales and the modelling of predator-prey interactions in large marine ecosystems. Large Marine Ecosystems: Patterns, Processes and Yields (eds. K. Sherman, L.M. Alexander and B.D. Gold), AAAS, Washington, 1990.
-
(1990)
Large Marine Ecosystems: Patterns, Processes and Yields
-
-
Levin, S.A.1
-
12
-
-
36849153282
-
A hypothesis for the origin of planktonic patchiness
-
S.A. Levin and L.A. Segel, A hypothesis for the origin of planktonic patchiness. Nature, 259 (1976), 659.
-
(1976)
Nature
, vol.259
, pp. 659
-
-
Levin, S.A.1
Segel, L.A.2
-
13
-
-
0028982751
-
Flow- and locomotion-induced spatial pattern formation in nonlinear population dynamics
-
H. Malchow, Flow- and locomotion-induced spatial pattern formation in nonlinear population dynamics. Ecological Modelling, 82 (1995), 257-264.
-
(1995)
Ecological Modelling
, vol.82
, pp. 257-264
-
-
Malchow, H.1
-
14
-
-
0348247602
-
Dynamical stabilization of unstable equilibrium in chemical and biological systems
-
in press
-
H. Malchow and S.V. Petrovskii, Dynamical stabilization of unstable equilibrium in chemical and biological systems. Mathematical and Computer Modelling, (2001), in press.
-
(2001)
Mathematical and Computer Modelling
-
-
Malchow, H.1
Petrovskii, S.V.2
-
15
-
-
0000268789
-
Nonlinear aspects of competition between three species
-
R.M. May and W. Leonard, Nonlinear aspects of competition between three species. SIAM J. Appl. Math., 29 (1975), 243-252.
-
(1975)
SIAM J. Appl. Math.
, vol.29
, pp. 243-252
-
-
May, R.M.1
Leonard, W.2
-
16
-
-
0030380539
-
The propagation of travelling waves in an open cubic autocatalytic chemical system
-
J.H. Merkin and M.A. Sadiq, The propagation of travelling waves in an open cubic autocatalytic chemical system. IMA J. Appl. Math., 57 (1996), 273-309.
-
(1996)
IMA J. Appl. Math.
, vol.57
, pp. 273-309
-
-
Merkin, J.H.1
Sadiq, M.A.2
-
17
-
-
0003282295
-
Wave-induced chemical chaos
-
J.H. Merkin, V. Petrov, S.K. Scott and K. Showalter, Wave-induced chemical chaos. Phys. Rev. Lett., 76 (1996), 546-549.
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 546-549
-
-
Merkin, J.H.1
Petrov, V.2
Scott, S.K.3
Showalter, K.4
-
19
-
-
0019192104
-
Spatial distribution of competing populations
-
T. Namba and M. Mimura, Spatial distribution of competing populations. J. Theor. Biol., 87 (1980), 795-814.
-
(1980)
J. Theor. Biol.
, vol.87
, pp. 795-814
-
-
Namba, T.1
Mimura, M.2
-
22
-
-
0024976676
-
On the spatial spread of the gray squirrel in Britain
-
A. Okubo, P.K. Maini, M.H. Williamson and J.D. Murray, On the spatial spread of the gray squirrel in Britain. Proc. R. Soc. Lond., B 238 (1989), 113-125.
-
(1989)
Proc. R. Soc. Lond., B
, vol.238
, pp. 113-125
-
-
Okubo, A.1
Maini, P.K.2
Williamson, M.H.3
Murray, J.D.4
-
23
-
-
0027806283
-
Diffusion-induced chaos in a spatial predator-prey system
-
M. Pascual, Diffusion-induced chaos in a spatial predator-prey system. Proc. R. Soc. Lond., B 251 (1993), 1-7.
-
(1993)
Proc. R. Soc. Lond., B
, vol.251
, pp. 1-7
-
-
Pascual, M.1
-
26
-
-
0035718414
-
Wave of chaos: New mechanism of pattern formation in spatio-temporal population dynamics
-
S.V. Petrovskii and H. Malchow, Wave of chaos: new mechanism of pattern formation in spatio-temporal population dynamics. Theor. Popul. Biol., 59 (2001), 157-174.
-
(2001)
Theor. Popul. Biol.
, vol.59
, pp. 157-174
-
-
Petrovskii, S.V.1
Malchow, H.2
-
27
-
-
0042473526
-
Ecologists flirt with chaos
-
R. Pool, Ecologists flirt with chaos. Science, 243 (1989), 310-313.
-
(1989)
Science
, vol.243
, pp. 310-313
-
-
Pool, R.1
-
28
-
-
0026314277
-
Should we expect strange attractors behind plankton dynamics - And if so, should we bother?
-
M. Scheffer, Should we expect strange attractors behind plankton dynamics - and if so, should we bother? J. Plankt. Res., 13 (1991), 1291-1305.
-
(1991)
J. Plankt. Res.
, vol.13
, pp. 1291-1305
-
-
Scheffer, M.1
-
29
-
-
0015442349
-
Dissipative structure: An explanation and an ecological example
-
L.A. Segel and J.L. Jackson, Dissipative structure: an explanation and an ecological example. J. Theor. Biol., 37 (1972), 545-559.
-
(1972)
J. Theor. Biol.
, vol.37
, pp. 545-559
-
-
Segel, L.A.1
Jackson, J.L.2
-
31
-
-
33645087891
-
Traveling periodic waves in heterogeneous environments
-
N. Shigesada, K. Kawasaki and E. Teramoto, Traveling periodic waves in heterogeneous environments. Theor. Popul. Biol., 30 (1986), 143-160.
-
(1986)
Theor. Popul. Biol.
, vol.30
, pp. 143-160
-
-
Shigesada, N.1
Kawasaki, K.2
Teramoto, E.3
-
34
-
-
0002011401
-
On the chemical basis of morphogenesis
-
A.M. Turing, On the chemical basis of morphogenesis. Phil. Trans. R. Soc. Lond., B 237 (1952), 37-72.
-
(1952)
Phil. Trans. R. Soc. Lond., B
, vol.237
, pp. 37-72
-
-
Turing, A.M.1
-
36
-
-
0002604954
-
Variazioni e fluttuazioni del numero d'individui in specie animali conviventi
-
V. Volterra, Variazioni e fluttuazioni del numero d'individui in specie animali conviventi. Memor. Accad. Lincei. Ser. 6, 2 (1926), 31-113.
-
(1926)
Memor. Accad. Lincei. Ser. 6
, vol.2
, pp. 31-113
-
-
Volterra, V.1
-
37
-
-
0002775095
-
Spatial patterns of propagating waves of fox rabies
-
S. Yachi, K. Kawasaki, N. Shigesada and E. Teramoto, Spatial patterns of propagating waves of fox rabies. Forma, 4 (1989), 3-12.
-
(1989)
Forma
, vol.4
, pp. 3-12
-
-
Yachi, S.1
Kawasaki, K.2
Shigesada, N.3
Teramoto, E.4
-
38
-
-
0027796995
-
Hopf bifurcations in competitive three-dimensional Lotka-Volterra systems
-
M.L. Zeeman, Hopf bifurcations in competitive three-dimensional Lotka-Volterra systems. Dynamical Systems and Stability, 8 (1993), 189-217.
-
(1993)
Dynamical Systems and Stability
, vol.8
, pp. 189-217
-
-
Zeeman, M.L.1
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