-
2
-
-
0001339498
-
Global bifurcation of positive solutions in some systems of elliptic equations
-
J. BLAT AND K. J. BROWN, Global bifurcation of positive solutions in some systems of elliptic equations, SIAM J. Math. Anal., 17 (1986), pp. 1339-1353.
-
(1986)
SIAM J. Math. Anal.
, vol.17
, pp. 1339-1353
-
-
Blat, J.1
Brown, K.J.2
-
3
-
-
0001056317
-
Bifurcation from simple eigenvalues
-
M. G. CRANDALL AND P. H. RABINOWITZ, Bifurcation from simple eigenvalues, J. Funct. Anal., 8 (1971), pp. 321-340.
-
(1971)
J. Funct. Anal.
, vol.8
, pp. 321-340
-
-
Crandall, M.G.1
Rabinowitz, P.H.2
-
4
-
-
58149321092
-
Positive solutions for a three-species competition system with diffusion. I. General existence results
-
E. N. DANCER, AND Y. DU, Positive solutions for a three-species competition system with diffusion. I. General existence results, Nonlinear Anal., 24 (1995), pp. 337-357.
-
(1995)
Nonlinear Anal.
, vol.24
, pp. 337-357
-
-
Dancer, E.N.1
Du, Y.2
-
5
-
-
0030526467
-
Bifurcation from semitrivial solution bundles and applications to certain equation systems
-
Y. DU, Bifurcation from semitrivial solution bundles and applications to certain equation systems, Nonlinear Anal., 27 (1996), pp. 1407-1435.
-
(1996)
Nonlinear Anal.
, vol.27
, pp. 1407-1435
-
-
Du, Y.1
-
7
-
-
67749139723
-
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton I: Existence
-
Y. DU AND S.-B. HSU, Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton I: Existence, SIAM J. Math. Anal., 40 (2008), pp. 1419-1440.
-
(2008)
SIAM J. Math. Anal.
, vol.40
, pp. 1419-1440
-
-
Du, Y.1
Hsu, S.-B.2
-
8
-
-
67749101333
-
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton II: Limiting profile
-
Y. DU, AND S.-B. HSU, Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton II: Limiting profile, SIAM J. Math. Anal., 40 (2008), pp. 1441-1470.
-
(2008)
SIAM J. Math. Anal.
, vol.40
, pp. 1441-1470
-
-
Du, Y.1
Hsu, S.-B.2
-
9
-
-
0035169962
-
Critical condition for phytoplankton blooms
-
U. EBERT, M ARRAYAS, N. TEMME, B. SOMMEIJER, AND J. HUISMAN, Critical condition for phytoplankton blooms, Bull. Math. Biol., 63 (2001), pp. 1095-1124.
-
(2001)
Bull. Math. Biol.
, vol.63
, pp. 1095-1124
-
-
Ebert, U.1
M Arrayas2
Temme, N.3
Sommeijer, B.4
Huisman, J.5
-
10
-
-
0042071611
-
Subsurface maxima of phytoplankton and chlorophyll: Steady-state solutions from a simple model
-
K. FENNEL AND E. BOSS, Subsurface maxima of phytoplankton and chlorophyll: Steady-state solutions from a simple model, Limnol. Oceanogr., 48 (2003), pp. 1521-1534.
-
(2003)
Limnol. Oceanogr.
, vol.48
, pp. 1521-1534
-
-
Fennel, K.1
Boss, E.2
-
11
-
-
0000802631
-
Persistence in infinite-dimensional systems
-
J. K. HALE AND P. WALTMAN, Persistence in infinite-dimensional systems, SIAM J. Math. Anal., 20 (1989), pp. 388-395.
-
(1989)
SIAM J. Math. Anal.
, vol.20
, pp. 388-395
-
-
Hale, J.K.1
Waltman, P.2
-
12
-
-
0000468175
-
Limiting behavior for competing species
-
S. B. HSU, Limiting behavior for competing species, SIAM J. Appl. Math., 34 (1978), pp. 760-763.
-
(1978)
SIAM J. Appl. Math.
, vol.34
, pp. 760-763
-
-
Hsu, S.B.1
-
13
-
-
0000875842
-
A mathematical theory for single-nutrient competition in continuous cultures of micro-organisms
-
S. B. HSU, S. HUBBELL, AND P. WALTMAN, A mathematical theory for single-nutrient competition in continuous cultures of micro-organisms, SIAM J. Appl. Math., 32 (1977), pp. 366-383.
-
(1977)
SIAM J. Appl. Math.
, vol.32
, pp. 366-383
-
-
Hsu, S.B.1
Hubbell, S.2
Waltman, P.3
-
14
-
-
0036187082
-
How do sinking phytoplankton species manage to persist?
-
J. HUISMAN, M. ARRAYAS, U. EBERT, AND B. SOMMEIJER, How do sinking phytoplankton species manage to persist?, Amer. Naturalist, 159 (2002), pp. 245-254.
-
(2002)
Amer. Naturalist
, vol.159
, pp. 245-254
-
-
Huisman, J.1
Arrayas, M.2
Ebert, U.3
Sommeijer, B.4
-
15
-
-
31144448364
-
Reduced mixing generates oscillations and chaos in the oceanic deep chlorophyll maximum
-
J. HUISMAN, N. N. PHAM THI, D. M. KARL, AND B. SOMMEIJER, Reduced mixing generates oscillations and chaos in the oceanic deep chlorophyll maximum, Nature, 439 (2006), pp. 322-325.
-
(2006)
Nature
, vol.439
, pp. 322-325
-
-
Huisman, J.1
Pham, N.N.T.2
Karl, D.M.3
Sommeijer, B.4
-
16
-
-
0032814698
-
Species dynamics in phytoplankton blooms: Incomplete mixing and competition for light
-
J. HUISMAN, P. VAN OOSTVEEN, AND F. J. WEISSING, Species dynamics in phytoplankton blooms: Incomplete mixing and competition for light, Amer. Naturalist, 154 (1999), pp. 46-67.
-
(1999)
Amer. Naturalist
, vol.154
, pp. 46-67
-
-
Huisman, J.1
Van Oostveen, P.2
Weissing, F.J.3
-
17
-
-
0028176266
-
Light-limited growth and competition for light in well-mixed aquatic environments: An elementary model
-
J. HUISMAN AND F. J. WEISSING, Light-limited growth and competition for light in well-mixed aquatic environments: An elementary model, Ecology, 75 (1994), pp. 507-520.
-
(1994)
Ecology
, vol.75
, pp. 507-520
-
-
Huisman, J.1
Weissing, F.J.2
-
18
-
-
0028983776
-
Competition for nutrients and light in a mixed water column: A theoretical analysis
-
J. HUISMAN AND F. J. WEISSING, Competition for nutrients and light in a mixed water column: A theoretical analysis, Amer. Naturalist, 146 (1995), pp. 536-564.
-
(1995)
Amer. Naturalist
, vol.146
, pp. 536-564
-
-
Huisman, J.1
Weissing, F.J.2
-
19
-
-
77953525132
-
Global stability of stationary solutions to a nonlinear diffusion equation in phytoplankton dynamics
-
H. ISHII AND I. TAKAGI, Global stability of stationary solutions to a nonlinear diffusion equation in phytoplankton dynamics, J. Math. Biol., 115 (1982), pp. 65-92.
-
(1982)
J. Math. Biol.
, vol.115
, pp. 65-92
-
-
Ishii, H.1
Takagi, I.2
-
20
-
-
0035662104
-
Algal games: The vertical distribution of phytoplankton in poorly mixed water columns
-
C. A. KLAUSMEIER AND E. E. LITCHMAN, Algal games: The vertical distribution of phytoplankton in poorly mixed water columns, Limnol. Oceanogr., 46 (2001), pp. 1998-2007.
-
(2001)
Limnol. Oceanogr.
, vol.46
, pp. 1998-2007
-
-
Klausmeier, C.A.1
Litchman, E.E.2
-
21
-
-
67349085775
-
Phytoplankton depth profiles and their transitions near the critical sinking velocity
-
T. KOLOKOLNIKOV, C. OU, AND Y. YUAN, Phytoplankton depth profiles and their transitions near the critical sinking velocity, J. Math. Biol., 59 (2009), pp. 105-122.
-
(2009)
J. Math. Biol.
, vol.59
, pp. 105-122
-
-
Kolokolnikov, T.1
Ou, C.2
Yuan, Y.3
-
22
-
-
36448974335
-
Some global results for nonlinear eigenvalue problems
-
P. H. RABINOWITZ, Some global results for nonlinear eigenvalue problems, J. Funct. Anal., 7 (1971), pp. 487-513.
-
(1971)
J. Funct. Anal.
, vol.7
, pp. 487-513
-
-
Rabinowitz, P.H.1
-
24
-
-
0000357193
-
Mutual shading effect on algal distribution: A nonlinear problem
-
S. TOTARO, Mutual shading effect on algal distribution: A nonlinear problem, Nonlinear Anal., 13 (1989), pp. 969-986.
-
(1989)
Nonlinear Anal.
, vol.13
, pp. 969-986
-
-
Totaro, S.1
-
25
-
-
0028165942
-
Growth and competition in a light gradient
-
F. J. WEISSING AND J. HUISMAN, Growth and competition in a light gradient, J. Theoret. Biol., 168 (1994), pp. 323-336.
-
(1994)
J. Theoret. Biol.
, vol.168
, pp. 323-336
-
-
Weissing, F.J.1
Huisman, J.2
-
26
-
-
77953503360
-
Blooming in a nonlocal, coupled phytoplankton-nutrient model
-
A. ZAGARIS, A. DOELMAN, N. N. PHAM THI, AND B. P. SOMMEIJER, Blooming in a nonlocal, coupled phytoplankton-nutrient model, SIAM J. Appl. Math., 69 (2009), pp. 1174-1204.
-
(2009)
SIAM J. Appl. Math.
, vol.69
, pp. 1174-1204
-
-
Zagaris, A.1
Doelman, A.2
Pham, N.N.T.3
Sommeijer, B.P.4
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