-
1
-
-
0036141801
-
Mutual interference between predators can give rise to turing spatial patterns
-
Alonso D., Bartumeus F., and Catalan J. Mutual interference between predators can give rise to turing spatial patterns. Ecology 83 (2002) 28-34
-
(2002)
Ecology
, vol.83
, pp. 28-34
-
-
Alonso, D.1
Bartumeus, F.2
Catalan, J.3
-
2
-
-
0027075622
-
The origins and evolution of predator-prey theory
-
Berryman A. The origins and evolution of predator-prey theory. Ecology 73 (1992) 1530
-
(1992)
Ecology
, vol.73
, pp. 1530
-
-
Berryman, A.1
-
4
-
-
45849150397
-
Stability and Hopf bifurcation analysis in a prey-predator system with stage-structure for prey and time delay
-
Chen Y., and Song C. Stability and Hopf bifurcation analysis in a prey-predator system with stage-structure for prey and time delay. Chaos, Solitons and Fractals 38 (2008) 1104-1114
-
(2008)
Chaos, Solitons and Fractals
, vol.38
, pp. 1104-1114
-
-
Chen, Y.1
Song, C.2
-
6
-
-
84979017681
-
Periodicity in a delayed semi-ratio-dependent predator-prey system
-
Ding Q. Periodicity in a delayed semi-ratio-dependent predator-prey system. Appl Math J Chn Univ B 20 2 (2005) 151-158
-
(2005)
Appl Math J Chn Univ B
, vol.20
, Issue.2
, pp. 151-158
-
-
Ding, Q.1
-
7
-
-
0000840164
-
Normal form for retarded functional differential equations with parameters and applications to Hopf bifurcation
-
Faria T., and Magalhaes L. Normal form for retarded functional differential equations with parameters and applications to Hopf bifurcation. J Diff Equa 122 (1995) 181-200
-
(1995)
J Diff Equa
, vol.122
, pp. 181-200
-
-
Faria, T.1
Magalhaes, L.2
-
8
-
-
63449103219
-
Bifurcation and chaos in a ratio-dependent predator-prey system with time delay
-
Gan Q., Xu R., and Yang P. Bifurcation and chaos in a ratio-dependent predator-prey system with time delay. Chaos, Solitons and Fractals. 39 (2009) 1883-1895
-
(2009)
Chaos, Solitons and Fractals.
, vol.39
, pp. 1883-1895
-
-
Gan, Q.1
Xu, R.2
Yang, P.3
-
9
-
-
0003324723
-
Introduction to functional differential equation
-
Springer-Verlag, New York
-
Hale J., and ErduynLunel S. Introduction to functional differential equation. Appl Math Sci vol. 99 (1993), Springer-Verlag, New York
-
(1993)
Appl Math Sci
, vol.99
-
-
Hale, J.1
ErduynLunel, S.2
-
11
-
-
67349083357
-
-
Jost C, Comparing predator-prey models qualitatively and quantitatively with ecological time-series data, Ph.D. thesis, Institute National Agronomique, Paris-Grignon, 1998.
-
Jost C, Comparing predator-prey models qualitatively and quantitatively with ecological time-series data, Ph.D. thesis, Institute National Agronomique, Paris-Grignon, 1998.
-
-
-
-
12
-
-
33845634818
-
Modelling and analysis of a prey-predator system with stage-structure and harvesting
-
Kar T., and Pahari U. Modelling and analysis of a prey-predator system with stage-structure and harvesting. Nonlinear Anal 8 (2007) 601-609
-
(2007)
Nonlinear Anal
, vol.8
, pp. 601-609
-
-
Kar, T.1
Pahari, U.2
-
13
-
-
0030103140
-
A predator-prey model with Ivlev's functional response
-
Kooij R.E., and Zegling A. A predator-prey model with Ivlev's functional response. J Math Anal Appl 198 (1996) 473-489
-
(1996)
J Math Anal Appl
, vol.198
, pp. 473-489
-
-
Kooij, R.E.1
Zegling, A.2
-
14
-
-
0000252357
-
Global qualitative analysis of a ratio-dependent predator-prey system
-
Kuang Y., and Beretta E. Global qualitative analysis of a ratio-dependent predator-prey system. J Math Biol 36 (1998) 389-406
-
(1998)
J Math Biol
, vol.36
, pp. 389-406
-
-
Kuang, Y.1
Beretta, E.2
-
15
-
-
34249775615
-
The dynamical of a predator-prey model with Ivlev's functional response concerning integrated pest management
-
Liu B., Zhi Y., and Chen L. The dynamical of a predator-prey model with Ivlev's functional response concerning integrated pest management. Acta Math Appl Sin Engl Ser 20 (2004) 133-146
-
(2004)
Acta Math Appl Sin Engl Ser
, vol.20
, pp. 133-146
-
-
Liu, B.1
Zhi, Y.2
Chen, L.3
-
16
-
-
24944487530
-
Stability and bifurcation in a harvested one-predator two-prey model with delays
-
Liu Z., and Yuan R. Stability and bifurcation in a harvested one-predator two-prey model with delays. Chaos, Solitons and Fractals 27 (2006) 1395-1407
-
(2006)
Chaos, Solitons and Fractals
, vol.27
, pp. 1395-1407
-
-
Liu, Z.1
Yuan, R.2
-
17
-
-
27144487509
-
Stability and bifurcation in a non-Kolmogorov type prey-predator system with time delay
-
Meng X., Han D., and Song Y. Stability and bifurcation in a non-Kolmogorov type prey-predator system with time delay. Math Comput Model 41 (2005) 1445-1455
-
(2005)
Math Comput Model
, vol.41
, pp. 1445-1455
-
-
Meng, X.1
Han, D.2
Song, Y.3
-
19
-
-
0242446784
-
Mathematical challenges in spatial ecology
-
Neuhauser C. Mathematical challenges in spatial ecology. Notices Am Math Soc 47 11 (2001) 1304-1314
-
(2001)
Notices Am Math Soc
, vol.47
, Issue.11
, pp. 1304-1314
-
-
Neuhauser, C.1
-
20
-
-
0031147982
-
Prey-predator systems with delay: Hopf bifurcation and stable oscillations
-
PECELLI G. Prey-predator systems with delay: Hopf bifurcation and stable oscillations. Math Comput Model 25 (1997) 77-98
-
(1997)
Math Comput Model
, vol.25
, pp. 77-98
-
-
PECELLI, G.1
-
21
-
-
0034839054
-
Global analysis in a predator-prey system with nonmonotonic functional response
-
Ruan S., and Xiao D. Global analysis in a predator-prey system with nonmonotonic functional response. SIAM J Appl Math 61 4 (2001) 1445-1472
-
(2001)
SIAM J Appl Math
, vol.61
, Issue.4
, pp. 1445-1472
-
-
Ruan, S.1
Xiao, D.2
-
22
-
-
34548261392
-
Bifurcations for a predator-prey system with two delays
-
Song Y., Peng Y., and Wei J. Bifurcations for a predator-prey system with two delays. J Math Anal Appl 337 (2008) 466-479
-
(2008)
J Math Anal Appl
, vol.337
, pp. 466-479
-
-
Song, Y.1
Peng, Y.2
Wei, J.3
-
23
-
-
10144242643
-
Local hopf bifurcation and global periodic solutions in a delayed predator-prey system
-
Song Y., and Wei J. Local hopf bifurcation and global periodic solutions in a delayed predator-prey system. J Math Anal Appl 301 (2005) 1-21
-
(2005)
J Math Anal Appl
, vol.301
, pp. 1-21
-
-
Song, Y.1
Wei, J.2
-
24
-
-
0001628540
-
Two-parameter bifurcation in a predator-prey system of Ivlev type
-
Sugie J. Two-parameter bifurcation in a predator-prey system of Ivlev type. J Math Anal Appl 217 (1998) 349-371
-
(1998)
J Math Anal Appl
, vol.217
, pp. 349-371
-
-
Sugie, J.1
-
25
-
-
33845423510
-
Global qualitative analysis for a predator-prey system with delay
-
Sun C., Han M., Lin Y., and Chen Y. Global qualitative analysis for a predator-prey system with delay. Chaos, Solitons and Fractals 32 (2007) 1582-1596
-
(2007)
Chaos, Solitons and Fractals
, vol.32
, pp. 1582-1596
-
-
Sun, C.1
Han, M.2
Lin, Y.3
Chen, Y.4
-
26
-
-
45849121404
-
The dynamical complexity of a Ivlev-type prey-predator system with impulsive effect
-
Wang H., and Wang W. The dynamical complexity of a Ivlev-type prey-predator system with impulsive effect. Chaos, Solitons and Fractals 38 (2008) 1168-1176
-
(2008)
Chaos, Solitons and Fractals
, vol.38
, pp. 1168-1176
-
-
Wang, H.1
Wang, W.2
-
27
-
-
64049103217
-
The dynamical behaviors of a food chain model with impulsive effect and Ivlev functional response
-
Xiang Z., and Song X. The dynamical behaviors of a food chain model with impulsive effect and Ivlev functional response. Chaos, Solitons and Fractals. 39 (2009) 2282-2293
-
(2009)
Chaos, Solitons and Fractals.
, vol.39
, pp. 2282-2293
-
-
Xiang, Z.1
Song, X.2
-
28
-
-
21244504319
-
Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting
-
Xiao D., and Jennings L. Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting. SIAM J Appl Math 65 (2005) 737-753
-
(2005)
SIAM J Appl Math
, vol.65
, pp. 737-753
-
-
Xiao, D.1
Jennings, L.2
-
29
-
-
33748902433
-
Dynamics in a ratio-dependent predator-prey model with predator harvesting
-
Xiao D., Li W., and Han M. Dynamics in a ratio-dependent predator-prey model with predator harvesting. J Math Anal Appl 324 (2006) 14-29
-
(2006)
J Math Anal Appl
, vol.324
, pp. 14-29
-
-
Xiao, D.1
Li, W.2
Han, M.3
-
30
-
-
38049144086
-
Global analysis of Ivlev's type predator-prey dynamic systems
-
Xiao H. Global analysis of Ivlev's type predator-prey dynamic systems. Appl Math Mech 28 (2007) 461-470
-
(2007)
Appl Math Mech
, vol.28
, pp. 461-470
-
-
Xiao, H.1
-
31
-
-
43649107298
-
Stability and Hopf bifurcation in a predator-prey model with stage structure for the predator
-
Xu R., and Ma Z. Stability and Hopf bifurcation in a predator-prey model with stage structure for the predator. Nonlinear Anal 9 (2008) 1444-1460
-
(2008)
Nonlinear Anal
, vol.9
, pp. 1444-1460
-
-
Xu, R.1
Ma, Z.2
-
32
-
-
34548849467
-
Stability and Hopf bifurcation for a delayed prey-predator system with diffusion effects
-
Yan X. Stability and Hopf bifurcation for a delayed prey-predator system with diffusion effects. Appl Math Comput 192 (2007) 552-566
-
(2007)
Appl Math Comput
, vol.192
, pp. 552-566
-
-
Yan, X.1
-
33
-
-
33744545227
-
Hopf bifurcation and global periodic solutions in a delayed predator-prey system
-
Yan X., and Zhang C. Hopf bifurcation and global periodic solutions in a delayed predator-prey system. Appl Math Comput 177 (2006) 427-445
-
(2006)
Appl Math Comput
, vol.177
, pp. 427-445
-
-
Yan, X.1
Zhang, C.2
-
34
-
-
35248878133
-
Hopf bifurcation in a delayed Lokta-Volterra predator-prey system
-
Yan X., and Zhang C. Hopf bifurcation in a delayed Lokta-Volterra predator-prey system. Nonlinear Anal 9 (2008) 114-127
-
(2008)
Nonlinear Anal
, vol.9
, pp. 114-127
-
-
Yan, X.1
Zhang, C.2
|