-
1
-
-
0034255819
-
The nature of predation: Prey dependent, ratio-dependent or neither?
-
P.A. ABRAMS AND L.R. GINZBURG, The nature of predation: Prey dependent, ratio-dependent or neither?, TREE, 15 (2000), pp. 337-341.
-
(2000)
Tree
, vol.15
, pp. 337-341
-
-
Abrams, P.A.1
Ginzburg, L.R.2
-
2
-
-
0028974970
-
Ratio-dependent prediction: An abstraction that works
-
H.R. AKCAKAYA, R. ARDITI, AND L.R. GINZBURG, Ratio-dependent prediction: An abstraction that works, Ecology, 79 (1995), pp. 995-1004.
-
(1995)
Ecology
, vol.79
, pp. 995-1004
-
-
Akcakaya, H.R.1
Arditi, R.2
Ginzburg, L.R.3
-
4
-
-
4944258042
-
Coupling in predator-prey dynamics: Ratio-dependence
-
R. ARDITI AND L.R. GINZBURG, Coupling in predator-prey dynamics: Ratio-dependence, J. Theor. Biol., 139 (1989), pp. 311-326.
-
(1989)
J. Theor. Biol.
, vol.139
, pp. 311-326
-
-
Arditi, R.1
Ginzburg, L.R.2
-
5
-
-
0000542895
-
Variation in plankton densities among lakes: A case for ratio-dependent models
-
R. ARDITI, L.R. GINZBURG, AND H.R. AKCAKAYA, Variation in plankton densities among lakes: A case for ratio-dependent models, American Naturalist, 138 (1991), pp. 1287-1296.
-
(1991)
American Naturalist
, vol.138
, pp. 1287-1296
-
-
Arditi, R.1
Ginzburg, L.R.2
Akcakaya, H.R.3
-
6
-
-
0003785594
-
-
Halstead Press, New York
-
A. ANDRONOV, E.A. LBONTOVICH, I.I. GORDON, AND A.G. MAIER, Theory of Bifurcations of Dynamical Systems on a Plane, Halstead Press, New York, 1973.
-
(1973)
Theory of Bifurcations of Dynamical Systems on a Plane
-
-
Andronov, A.1
Lbontovich, E.A.2
Gordon, I.I.3
Maier, A.G.4
-
7
-
-
0035460669
-
Parametric analysis of the ratio-dependent predator-prey model
-
F. BEREZOVSKAYA, G. KAREV, AND R. ARDITI, Parametric analysis of the ratio-dependent predator-prey model, J. Math. Biol., 43 (2001), pp. 221-246.
-
(2001)
J. Math. Biol.
, vol.43
, pp. 221-246
-
-
Berezovskaya, F.1
Karev, G.2
Arditi, R.3
-
8
-
-
0018318922
-
Stability regions and transition phenomena for harvested predator-prey systems
-
F. BRAUER AND A.C. SOUDACK, Stability regions and transition phenomena for harvested predator-prey systems, J. Math. Biol., 7 (1979), pp. 319-337.
-
(1979)
J. Math. Biol.
, vol.7
, pp. 319-337
-
-
Brauer, F.1
Soudack, A.C.2
-
9
-
-
0018572296
-
Stability regions in predator-prey systems with constant rate prey harvesting
-
F. BRAUER AND A.C. SOUDACK, Stability regions in predator-prey systems with constant rate prey harvesting, J. Math. Biol., 8 (1979), pp. 55-71.
-
(1979)
J. Math. Biol.
, vol.8
, pp. 55-71
-
-
Brauer, F.1
Soudack, A.C.2
-
10
-
-
0019862153
-
Coexistence properties of some predator-prey systems under constant rate harvesting and stocking
-
F. BRAUER AND A.C. SOUDACK, Coexistence properties of some predator-prey systems under constant rate harvesting and stocking, J. Math. Biol., 12 (1981), pp. 101-114.
-
(1981)
J. Math. Biol.
, vol.12
, pp. 101-114
-
-
Brauer, F.1
Soudack, A.C.2
-
11
-
-
0003399571
-
-
Springer-Verlag, New York, Heidelberg, Berlin
-
S.-N. CHOW AND J.K. HALE, Methods of Bifurcation Theory, Springer-Verlag, New York, Heidelberg, Berlin, 1982.
-
(1982)
Methods of Bifurcation Theory
-
-
Chow, S.-N.1
Hale, J.K.2
-
12
-
-
0004005623
-
-
Cambridge University Press, Cambridge, UK
-
S.-N. CHOW, C.Z. Li, AND D. WANG, Normal Forms and Bifurcation of Planar Vector Fields, Cambridge University Press, Cambridge, UK, 1994.
-
(1994)
Normal Forms and Bifurcation of Planar Vector Fields
-
-
Chow, S.-N.1
Li, C.Z.2
Wang, D.3
-
13
-
-
0003790245
-
-
John Wiley & Sons, New York, Toronto
-
C.W. CLARK, Mathematical Bioeconomics, The Optimal Management of Renewable Resources, 2nd ed., John Wiley & Sons, New York, Toronto, 1990.
-
(1990)
Mathematical Bioeconomics, The Optimal Management of Renewable Resources, 2nd Ed.
-
-
Clark, C.W.1
-
14
-
-
0033180314
-
Effects of spatial grouping on the functional response of predators
-
C. COSNER, D.L. DEANGELIS, J.S. AULT, AND D.B. OLSON, Effects of spatial grouping on the functional response of predators, Theor. Pop. Biol., 56 (1999), pp. 65-75.
-
(1999)
Theor. Pop. Biol.
, vol.56
, pp. 65-75
-
-
Cosner, C.1
Deangelis, D.L.2
Ault, J.S.3
Olson, D.B.4
-
15
-
-
0006748388
-
Generic unfolding of the nilpotent saddle of codimension four
-
Institute of Physics, Bristol, UK
-
F. DUMORTIER, P. FIDDELAERS, AND C. Li, Generic unfolding of the nilpotent saddle of codimension four, in Global Analysis of Dynamical Systems, Institute of Physics, Bristol, UK, 2001, pp. 131-166.
-
(2001)
Global Analysis of Dynamical Systems
, pp. 131-166
-
-
Dumortier, F.1
Fiddelaers, P.2
Li, C.3
-
16
-
-
21244469846
-
Perturbations from an elliptic Hamiltonian of degree four
-
(Chengdu, 1999), P.W. Bates, K. Lu, and D. Xu, eds., World Scientific, River Edge, NJ
-
F. DUMORTIER AND C. Li, Perturbations from an elliptic Hamiltonian of degree four, in Differential Equations and Computational Simulations (Chengdu, 1999), P.W. Bates, K. Lu, and D. Xu, eds., World Scientific, River Edge, NJ, 2000, pp. 66-70.
-
(2000)
Differential Equations and Computational Simulations
, pp. 66-70
-
-
Dumortier, F.1
Li, C.2
-
17
-
-
0035841053
-
Perturbations from an elliptic Hamiltonian of degree four. I. Saddle loop and two saddle cycle
-
F. DUMORTIER AND C. Li, Perturbations from an elliptic Hamiltonian of degree four. I. Saddle loop and two saddle cycle, J. Differential Equations, 176 (2001), pp. 114-157.
-
(2001)
J. Differential Equations
, vol.176
, pp. 114-157
-
-
Dumortier, F.1
Li, C.2
-
18
-
-
0035922217
-
Perturbations from an elliptic Hamiltonian of degree four. II. Cuspidal loop
-
F. DUMORTIER AND C. Li, Perturbations from an elliptic Hamiltonian of degree four. II. Cuspidal loop, J. Differential Equations, 175 (2001), pp. 209-243.
-
(2001)
J. Differential Equations
, vol.175
, pp. 209-243
-
-
Dumortier, F.1
Li, C.2
-
19
-
-
0002036676
-
Generic three-parameter families of planar vector fields, unfoldings of saddle, focus and elliptic singularities with nilpotent linear parts
-
Springer-Verlag, Berlin
-
F. DUMORTIER, R. ROUSSARIE, AND J. SOTOMAYOR, Generic Three-Parameter Families of Planar Vector Fields, Unfoldings of Saddle, Focus and Elliptic Singularities with Nilpotent Linear Parts, Lecture Notes in Math. 1480, Springer-Verlag, Berlin, 1991.
-
(1991)
Lecture Notes in Math.
, vol.1480
-
-
Dumortier, F.1
Roussarie, R.2
Sotomayor, J.3
-
20
-
-
0027084787
-
The physiological basis of ratio-dependent predator-prey theory: A metabolic pool model of Nicholson's blowflies as an example
-
A.P. GUTIERREZ, The physiological basis of ratio-dependent predator-prey theory: A metabolic pool model of Nicholson's blowflies as an example, Ecology, 73 (1992), pp. 1552-1563.
-
(1992)
Ecology
, vol.73
, pp. 1552-1563
-
-
Gutierrez, A.P.1
-
21
-
-
0035376255
-
Global analysis of the Michaelis-Menten type ratio-dependent predator-prey system
-
S.B. Hsu, T.W. HWANG, AND Y. KUANG, Global analysis of the Michaelis-Menten type ratio-dependent predator-prey system, J. Math. Biol., 42 (2001), pp. 489-506.
-
(2001)
J. Math. Biol.
, vol.42
, pp. 489-506
-
-
Hsu, S.B.1
Hwang, T.W.2
Kuang, Y.3
-
22
-
-
0033061694
-
About deterministic extinction in ratio-dependent predatorprey models
-
C. JOST, O. ARINO, AND R. ARDITI, About deterministic extinction in ratio-dependent predatorprey models, Bull. Math. Biol., 61 (1999), pp. 19-32.
-
(1999)
Bull. Math. Biol.
, vol.61
, pp. 19-32
-
-
Jost, C.1
Arino, O.2
Arditi, R.3
-
23
-
-
0000941262
-
Rich dynamics of Gause-type ratio-dependent predator-prey system
-
S. Ruan, G.S.K. Wolkowicz, and J. Wu, eds., AMS, Providence, RI
-
Y. KUANG, Rich dynamics of Gause-type ratio-dependent predator-prey system, in Differential Equations with Applications to Biology, Fields Inst. Commun. 21, S. Ruan, G.S.K. Wolkowicz, and J. Wu, eds., AMS, Providence, RI, 1999, pp. 325-337.
-
(1999)
Differential Equations with Applications to Biology, Fields Inst. Commun.
, vol.21
, pp. 325-337
-
-
Kuang, Y.1
-
24
-
-
0000252357
-
Global qualitative analysis of a ratio-dependent predator-prey system
-
Y. KUANG AND E. BERETTA, Global qualitative analysis of a ratio-dependent predator-prey system, J. Math. Biol., 36 (1998), pp. 389-406.
-
(1998)
J. Math. Biol.
, vol.36
, pp. 389-406
-
-
Kuang, Y.1
Beretta, E.2
-
25
-
-
38249022236
-
A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4
-
C. LI AND C. ROUSSEAU, A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation: The cusp of order 4, J. Differential Equations, 79 (1989), pp. 132-167.
-
(1989)
J. Differential Equations
, vol.79
, pp. 132-167
-
-
Li, C.1
Rousseau, C.2
-
27
-
-
21244477882
-
Bifurcations of saddle singularity of codimension three of a planar vector field with nilpotent linear part
-
D. XIAO, Bifurcations of saddle singularity of codimension three of a planar vector field with nilpotent linear part, Sci. Sinica A, 23 (1993), pp. 252-260.
-
(1993)
Sci. Sinica A
, vol.23
, pp. 252-260
-
-
Xiao, D.1
-
28
-
-
0000052872
-
Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting
-
S. Ruan, G.S.K. Wolkowicz, and J. Wu, eds., AMS, Providence, RI
-
D. XIAO AND S. RUAN, Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting, in Differential Equations with Applications to Biology, Fields Inst. Commun. 21, S. Ruan, G.S.K. Wolkowicz, and J. Wu, eds., AMS, Providence, RI, 1999, pp. 493-506.
-
(1999)
Differential Equations with Applications to Biology, Fields Inst. Commun.
, vol.21
, pp. 493-506
-
-
Xiao, D.1
Ruan, S.2
-
29
-
-
0035464834
-
Global dynamics of a ratio-dependent predator-prey system
-
D. XIAO AND S. RUAN, Global dynamics of a ratio-dependent predator-prey system, J. Math. Biol., 43 (2001), pp. 268-290.
-
(2001)
J. Math. Biol.
, vol.43
, pp. 268-290
-
-
Xiao, D.1
Ruan, S.2
-
30
-
-
0003268664
-
Qualitative Theory of Differential Equations
-
AMS, Providence, RI
-
Z. ZHANG, T. DING, W. HUANG, AND Z. DONG, Qualitative Theory of Differential Equations, Transi. Math. Monogr. 101, AMS, Providence, RI, 1992.
-
(1992)
Transi. Math. Monogr.
, vol.101
-
-
Zhang, Z.1
Ding, T.2
Huang, W.3
Dong, Z.4
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