-
1
-
-
0027075622
-
The origins and evolution of predatorprey theory
-
A.A. Berryman The origins and evolution of predatorprey theory Ecology 73 1992 1530 1535
-
(1992)
Ecology
, vol.73
, pp. 1530-1535
-
-
Berryman, A.A.1
-
2
-
-
0018127196
-
Temperature-dependent predatorprey mite ecosystem on apple tree foliage
-
J.D. Wollkind, and J.A. Logan Temperature-dependent predatorprey mite ecosystem on apple tree foliage J. Math. Biol. 6 1978 265 283
-
(1978)
J. Math. Biol.
, vol.6
, pp. 265-283
-
-
Wollkind, J.D.1
Logan, J.A.2
-
3
-
-
38249030117
-
Metastability in a temperature-dependent model system for predatorprey mite outbreak interactions on fruit trees
-
J.D. Wollkind, J.B. Collings, and J.A. Logan Metastability in a temperature-dependent model system for predatorprey mite outbreak interactions on fruit trees Bull. Math. Biol. 50 1988 379 409
-
(1988)
Bull. Math. Biol.
, vol.50
, pp. 379-409
-
-
Wollkind, J.D.1
Collings, J.B.2
Logan, J.A.3
-
5
-
-
0002366911
-
The functional response of predator to prey density and its role in mimicry and population regulation
-
C.S. Holling The functional response of predator to prey density and its role in mimicry and population regulation Men. Ent. Sec. Can. 45 1965 1 60
-
(1965)
Men. Ent. Sec. Can.
, vol.45
, pp. 1-60
-
-
Holling, C.S.1
-
6
-
-
64049105932
-
On a Leslie-Gower predatorprey model incorporating a prey refuge
-
F. Chen, L. Chen, and X. Xie On a Leslie-Gower predatorprey model incorporating a prey refuge Nonlinear Anal. RWA10 2009 2905 2908
-
(2009)
Nonlinear Anal. RWA10
, pp. 2905-2908
-
-
Chen, F.1
Chen, L.2
Xie, X.3
-
7
-
-
0029325665
-
Global stability for a class of predatorprey systems
-
S.B. Hsu, and T.W. Huang Global stability for a class of predatorprey systems SIAM J. Appl. Math. 55 1995 763 783
-
(1995)
SIAM J. Appl. Math.
, vol.55
, pp. 763-783
-
-
Hsu, S.B.1
Huang, T.W.2
-
8
-
-
0011746590
-
Hopf bifurcation analysis for a predatorprey system of Holling and Leslie type
-
S.B. Hsu, and T.W. Hwang Hopf bifurcation analysis for a predatorprey system of Holling and Leslie type Taiwanese J. Math. 3 1999 35 53
-
(1999)
Taiwanese J. Math.
, vol.3
, pp. 35-53
-
-
Hsu, S.B.1
Hwang, T.W.2
-
9
-
-
34147128212
-
Bifurcations of a predatorprey system of Holling and Leslie types
-
Y. Li, and D. Xiao Bifurcations of a predatorprey system of Holling and Leslie types Chaos Solitons Fractals 34 2007 606 620
-
(2007)
Chaos Solitons Fractals
, vol.34
, pp. 606-620
-
-
Li, Y.1
Xiao, D.2
-
10
-
-
34250658146
-
Qualitative analysis of a ratio-dependent HollingTanner model
-
Z. Liang, and H. Pan Qualitative analysis of a ratio-dependent HollingTanner model J. Math. Anal. Appl. 334 2007 954 964
-
(2007)
J. Math. Anal. Appl.
, vol.334
, pp. 954-964
-
-
Liang, Z.1
Pan, H.2
-
11
-
-
2942641510
-
Dynamics of a nonautonomous predatorprey system with the BeddingtonDeAngelis functional response
-
M. Fan, and Y. Kuang Dynamics of a nonautonomous predatorprey system with the BeddingtonDeAngelis functional response J. Math. Anal. Appl. 295 2004 15 39
-
(2004)
J. Math. Anal. Appl.
, vol.295
, pp. 15-39
-
-
Fan, M.1
Kuang, Y.2
-
12
-
-
0000076167
-
Mutual interference between parasites or predators and its effect on searching efficiency
-
J.R. Beddington Mutual interference between parasites or predators and its effect on searching efficiency J. Animal Ecol. 44 1975 331 340
-
(1975)
J. Animal Ecol.
, vol.44
, pp. 331-340
-
-
Beddington, J.R.1
-
14
-
-
4944258042
-
Coupling in predatorprey dynamics: Ratio-dependence
-
R. Artidi, and L.R. Ginzburg Coupling in predatorprey dynamics: Ratio-dependence J. Theoret. Biol. 139 1989 311 326
-
(1989)
J. Theoret. Biol.
, vol.139
, pp. 311-326
-
-
Artidi, R.1
Ginzburg, L.R.2
-
15
-
-
37249077457
-
Analysis of a predatorprey model with modified HollingTanner functional response and time delay
-
Z. Lu, and X. Liu Analysis of a predatorprey model with modified HollingTanner functional response and time delay Nonlinear Anal. RWA 9 2008 641 650
-
(2008)
Nonlinear Anal. RWA
, vol.9
, pp. 641-650
-
-
Lu, Z.1
Liu, X.2
-
16
-
-
14644406942
-
Positive steady states of the HollingTanner prey-predator model with diffusion
-
R. Peng, and M. Wang Positive steady states of the HollingTanner prey-predator model with diffusion Proc. Roy. Soc. Edinburgh 135A 2005 149 164
-
(2005)
Proc. Roy. Soc. Edinburgh
, vol.135
, pp. 149-164
-
-
Peng, R.1
Wang, M.2
-
17
-
-
33947158204
-
Global stability of the equilibrium of a diffusive HollingTanner prey-predator model
-
R. Peng, and M. Wang Global stability of the equilibrium of a diffusive HollingTanner prey-predator model Appl. Math. Lett. 20 2007 664 670
-
(2007)
Appl. Math. Lett.
, vol.20
, pp. 664-670
-
-
Peng, R.1
Wang, M.2
-
18
-
-
33750796153
-
Non-constant positive steady-states of a diffusive predatorprey system in homogeneous environment
-
W. Ko, and K. Ryu Non-constant positive steady-states of a diffusive predatorprey system in homogeneous environment J. Math. Anal. Appl. 327 2007 539 549
-
(2007)
J. Math. Anal. Appl.
, vol.327
, pp. 539-549
-
-
Ko, W.1
Ryu, K.2
-
19
-
-
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 1339 1353
-
(1986)
SIAM J. Math. Anal.
, vol.17
, pp. 1339-1353
-
-
Blat, J.1
Brown, K.J.2
-
20
-
-
26844511430
-
Qualitative analysis of predatorprey models with BeddingtonDeAngelis functional response and diffusion
-
W. Chen, and M. Wang Qualitative analysis of predatorprey models with BeddingtonDeAngelis functional response and diffusion Math. Comput. Modelling 42 2005 31 44
-
(2005)
Math. Comput. Modelling
, vol.42
, pp. 31-44
-
-
Chen, W.1
Wang, M.2
-
21
-
-
28244492039
-
Global asymptotic stability of a ratio-dependent predatorprey system with diffusion
-
Y.H. Fan, and W.T. Li Global asymptotic stability of a ratio-dependent predatorprey system with diffusion J. Comput. Appl. Math. 188 2006 205 227
-
(2006)
J. Comput. Appl. Math.
, vol.188
, pp. 205-227
-
-
Fan, Y.H.1
Li, W.T.2
-
22
-
-
33847027600
-
Periodic solutions of delayed predatorprey model with the BeddingtonDeAngelis functional response
-
H.F. Huo, W.T. Li, and J.J. Nieto Periodic solutions of delayed predatorprey model with the BeddingtonDeAngelis functional response Chaos Solitons Fractals 33 2007 505 512
-
(2007)
Chaos Solitons Fractals
, vol.33
, pp. 505-512
-
-
Huo, H.F.1
Li, W.T.2
Nieto, J.J.3
-
23
-
-
42649116084
-
A qualitative study on general Gause-type predatorprey models with constant diffusion rates
-
W. Ko, and K. Ryu A qualitative study on general Gause-type predatorprey models with constant diffusion rates J. Math. Anal. Appl. 344 2008 217 230
-
(2008)
J. Math. Anal. Appl.
, vol.344
, pp. 217-230
-
-
Ko, W.1
Ryu, K.2
-
24
-
-
0141957171
-
Qualitative analysis of a ratio-dependent predatorprey system with diffusion
-
P.Y.H. Pang, and M. Wang Qualitative analysis of a ratio-dependent predatorprey system with diffusion Proc. Roy. Soc. Edinburgh 133A 2003 919 942
-
(2003)
Proc. Roy. Soc. Edinburgh
, vol.133
, pp. 919-942
-
-
Pang, P.Y.H.1
Wang, M.2
-
25
-
-
2442652435
-
Strategy and stationary pattern in a three-species predatorprey
-
P.Y.H. Pang, and M. Wang Strategy and stationary pattern in a three-species predatorprey J. Differential Equations 200 2004 245 273
-
(2004)
J. Differential Equations
, vol.200
, pp. 245-273
-
-
Pang, P.Y.H.1
Wang, M.2
-
26
-
-
1442279582
-
Non-constant positive steady states of a predatorprey system with non-monotonic functional response and diffusion
-
P.Y.H. Pang, and M. Wang Non-constant positive steady states of a predatorprey system with non-monotonic functional response and diffusion Proc. Lond. Math. Soc. 88 2004 135 157
-
(2004)
Proc. Lond. Math. Soc.
, vol.88
, pp. 135-157
-
-
Pang, P.Y.H.1
Wang, M.2
-
27
-
-
24944516968
-
Note on a ratio-dependent predatorprey system with diffusion
-
R. Peng, and M. Wang Note on a ratio-dependent predatorprey system with diffusion Nonlinear Anal. RWA 7 2006 1 11
-
(2006)
Nonlinear Anal. RWA
, vol.7
, pp. 1-11
-
-
Peng, R.1
Wang, M.2
-
28
-
-
34047275564
-
A ratio-dependent predatorprey model with diffusion
-
X. Zeng A ratio-dependent predatorprey model with diffusion Nonlinear Anal. RWA 8 2007 1062 1078
-
(2007)
Nonlinear Anal. RWA
, vol.8
, pp. 1062-1078
-
-
Zeng, X.1
-
30
-
-
0039978016
-
Geometric Theory of Semilinear Parabolic Equations
-
Springer-Verlag Berlin, New York
-
D. Henry Geometric Theory of Semilinear Parabolic Equations Lecture Notes in Mathematics vol. 840 1993 Springer-Verlag Berlin, New York
-
(1993)
Lecture Notes in Mathematics
, vol.840
-
-
Henry, D.1
-
31
-
-
0002542873
-
Large amplitude stationary solutions to a chemotaxis systems
-
L.S. Lin, W.M. Ni, and I. Takagi Large amplitude stationary solutions to a chemotaxis systems J. Differential Equations 72 1988 1 27
-
(1988)
J. Differential Equations
, vol.72
, pp. 1-27
-
-
Lin, L.S.1
Ni, W.M.2
Takagi, I.3
-
32
-
-
0030579038
-
Diffusion, self-diffusion and cross-diffusion
-
Y. Lou, and W.M. Ni Diffusion, self-diffusion and cross-diffusion J. Differential Equations 131 1996 79 131
-
(1996)
J. Differential Equations
, vol.131
, pp. 79-131
-
-
Lou, Y.1
Ni, W.M.2
-
35
-
-
3242888035
-
Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion
-
M. Wang Stationary patterns for a prey-predator model with prey-dependent and ratio-dependent functional responses and diffusion Physica D 196 2004 172 192
-
(2004)
Physica D
, vol.196
, pp. 172-192
-
-
Wang, M.1
|