-
1
-
-
0034255819
-
The nature of predation: prey dependent, ratio dependent or neither?
-
Abrams P.A., Ginzburg L.R. The nature of predation: prey dependent, ratio dependent or neither?. Trends Ecol. Evol. 2000, 15:337.
-
(2000)
Trends Ecol. Evol.
, vol.15
, pp. 337
-
-
Abrams, P.A.1
Ginzburg, L.R.2
-
2
-
-
0028974970
-
Ratio-dependent predation: an abstraction that works
-
Akcakaya H.R., Arditi R., Ginzburg L.R. Ratio-dependent predation: an abstraction that works. Ecology 1995, 76:995.
-
(1995)
Ecology
, vol.76
, pp. 995
-
-
Akcakaya, H.R.1
Arditi, R.2
Ginzburg, L.R.3
-
3
-
-
0036141801
-
Mutual interference between predators can give rise to Turing spatial patterns
-
Alonso D., Bartumeus F., Catalan J. Mutual interference between predators can give rise to Turing spatial patterns. Ecology 2002, 83:28.
-
(2002)
Ecology
, vol.83
, pp. 28
-
-
Alonso, D.1
Bartumeus, F.2
Catalan, J.3
-
4
-
-
4944258042
-
Coupling in predator-prey dynamics: Ratio-Dependence
-
Arditi R., Ginzburg L.R. Coupling in predator-prey dynamics: Ratio-Dependence. J. Theor. Biol. 1989, 139:311.
-
(1989)
J. Theor. Biol.
, vol.139
, pp. 311
-
-
Arditi, R.1
Ginzburg, L.R.2
-
5
-
-
0242364789
-
Boundedness and global stability for a predator-prey model with modified LeslieGower and Holling-type II schemes
-
Aziz-Alaoui M.A., Daher-Okiye M. Boundedness and global stability for a predator-prey model with modified LeslieGower and Holling-type II schemes. Appl. Math. Lett. 2003, 16:1069.
-
(2003)
Appl. Math. Lett.
, vol.16
, pp. 1069
-
-
Aziz-Alaoui, M.A.1
Daher-Okiye, M.2
-
6
-
-
14844315022
-
Ratio-dependent predator-prey model: effect of environmental fluctuation and stability
-
Bandyopadhyay M., Chattopadhyay J. Ratio-dependent predator-prey model: effect of environmental fluctuation and stability. Nonlinearity 2005, 18:913.
-
(2005)
Nonlinearity
, vol.18
, pp. 913
-
-
Bandyopadhyay, M.1
Chattopadhyay, J.2
-
7
-
-
70350622695
-
Self-replication of spatial patterns in a ratio-dependent predator-prey model
-
Banerjee M. Self-replication of spatial patterns in a ratio-dependent predator-prey model. Math. Comput. Model. 2010, 51:44.
-
(2010)
Math. Comput. Model.
, vol.51
, pp. 44
-
-
Banerjee, M.1
-
8
-
-
85028093389
-
Self-organised spatial patterns and chaos in a ratio-dependent predator-prey system
-
Banerjee M., Petrovskii S. Self-organised spatial patterns and chaos in a ratio-dependent predator-prey system. Theor. Ecol. 2011, 4:37.
-
(2011)
Theor. Ecol.
, vol.4
, pp. 37
-
-
Banerjee, M.1
Petrovskii, S.2
-
9
-
-
28344449306
-
Turing instabilities and pattern formation in a benthic nutrient-microorganism system
-
Baurmann M., Ebenhoh W., Feudel U. Turing instabilities and pattern formation in a benthic nutrient-microorganism system. Math. Biosci. Eng. 2004, 1:111.
-
(2004)
Math. Biosci. Eng.
, vol.1
, pp. 111
-
-
Baurmann, M.1
Ebenhoh, W.2
Feudel, U.3
-
10
-
-
33847055875
-
Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of TuringHopf bifurcations
-
Baurmann M., Gross T., Feudel U. Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of TuringHopf bifurcations. J. Theor. Biol. 2007, 245:220.
-
(2007)
J. Theor. Biol.
, vol.245
, pp. 220
-
-
Baurmann, M.1
Gross, T.2
Feudel, U.3
-
11
-
-
0022854974
-
Population and community processes in a mosaic grassland in the Serengeti, Tanzania
-
Belsky A.J. Population and community processes in a mosaic grassland in the Serengeti, Tanzania. J. Ecol. 1986, 74:841.
-
(1986)
J. Ecol.
, vol.74
, pp. 841
-
-
Belsky, A.J.1
-
12
-
-
0035460669
-
Parametric analysis of the ratio-dependent predator-prey model
-
Berezovskaya F.S., Karev G., Arditi R. Parametric analysis of the ratio-dependent predator-prey model. J. Math. Biol. 2001, 43:221.
-
(2001)
J. Math. Biol.
, vol.43
, pp. 221
-
-
Berezovskaya, F.S.1
Karev, G.2
Arditi, R.3
-
13
-
-
0037490631
-
The bifurcation structure of the Holling-Tanner model predator-prey interactions using two-timing
-
Braza P.A. The bifurcation structure of the Holling-Tanner model predator-prey interactions using two-timing. SIAM J. Appl. Math. 2003, 63:889.
-
(2003)
SIAM J. Appl. Math.
, vol.63
, pp. 889
-
-
Braza, P.A.1
-
14
-
-
0034886763
-
Periodic spotted patterns in semiarid vegetation explained by a propagation-inhibition model
-
Couteron P., Lejeune O. Periodic spotted patterns in semiarid vegetation explained by a propagation-inhibition model. J. Ecol. 2001, 89:616.
-
(2001)
J. Ecol.
, vol.89
, pp. 616
-
-
Couteron, P.1
Lejeune, O.2
-
15
-
-
0028973866
-
Chaos in a noisy world: new methods and evidence from time-series analysis
-
Ellner S., Turchin P. Chaos in a noisy world: new methods and evidence from time-series analysis. Am. Nat. 1995, 145:343.
-
(1995)
Am. Nat.
, vol.145
, pp. 343
-
-
Ellner, S.1
Turchin, P.2
-
17
-
-
0003061332
-
Persistence in predator-prey systems with ratio-dependent predator influence
-
Freedman H.I., Mathsen A.M. Persistence in predator-prey systems with ratio-dependent predator influence. Bull. Math. Biol. 1993, 55:817.
-
(1993)
Bull. Math. Biol.
, vol.55
, pp. 817
-
-
Freedman, H.I.1
Mathsen, A.M.2
-
18
-
-
33947514402
-
Finite difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
-
Garvie M.R. Finite difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Bull. Math. Biol. 2007, 69:931.
-
(2007)
Bull. Math. Biol.
, vol.69
, pp. 931
-
-
Garvie, M.R.1
-
20
-
-
0027337545
-
Population oscillations of boreal rodents: regulation by mustelid predators leads to chaos
-
Hanski I., Turchin P., Korplmakl E., Henttonen H. Population oscillations of boreal rodents: regulation by mustelid predators leads to chaos. Nature 1993, 364:232.
-
(1993)
Nature
, vol.364
, pp. 232
-
-
Hanski, I.1
Turchin, P.2
Korplmakl, E.3
Henttonen, H.4
-
23
-
-
0025956240
-
Chaos in a three species food chain
-
Hastings A., Powell T. Chaos in a three species food chain. Ecology 1991, 72:896.
-
(1991)
Ecology
, vol.72
, pp. 896
-
-
Hastings, A.1
Powell, T.2
-
24
-
-
0002366911
-
The functional response of predators to prey density and its role in mimicry and population regulation
-
Holling C.S. The functional response of predators to prey density and its role in mimicry and population regulation. Mem. Ent. Soc. Can. 1965, 45:3.
-
(1965)
Mem. Ent. Soc. Can.
, vol.45
, pp. 3
-
-
Holling, C.S.1
-
25
-
-
0029325665
-
Global stability for a class of predator-prey systems
-
Hsu S.B., Hwang T.W. Global stability for a class of predator-prey systems. SIAM J. Appl. Math. 1995, 55:763.
-
(1995)
SIAM J. Appl. Math.
, vol.55
, pp. 763
-
-
Hsu, S.B.1
Hwang, T.W.2
-
26
-
-
0035376255
-
Global analysis of the MichaelisMenten type ratio-dependent predator-prey system
-
Hsu S.B., Hwang T.W., Kuang Y. Global analysis of the MichaelisMenten type ratio-dependent predator-prey system. J. Math. Biol. 2001, 42:489.
-
(2001)
J. Math. Biol.
, vol.42
, pp. 489
-
-
Hsu, S.B.1
Hwang, T.W.2
Kuang, Y.3
-
27
-
-
0033604549
-
Biodiversity of plankton by oscillations and chaos
-
Huisman J., Weissing F.J. Biodiversity of plankton by oscillations and chaos. Nature 1999, 402:407.
-
(1999)
Nature
, vol.402
, pp. 407
-
-
Huisman, J.1
Weissing, F.J.2
-
28
-
-
0033061694
-
About deterministic extinction in ratio-dependent predator-prey model
-
Jost C., Arino O., Arditi R. About deterministic extinction in ratio-dependent predator-prey model. Bull. Math. Biol. 1999, 61:19.
-
(1999)
Bull. Math. Biol.
, vol.61
, pp. 19
-
-
Jost, C.1
Arino, O.2
Arditi, R.3
-
29
-
-
0035420257
-
Spatiotemporal dynamics near a supercritical Turing-Hopf bifurcation in a two-dimensional reaction-diffusion system
-
Just W., Bose M., Bose S., Engel H., Scholl E. Spatiotemporal dynamics near a supercritical Turing-Hopf bifurcation in a two-dimensional reaction-diffusion system. Phy. Rev. E. 2001, 64:026219.
-
(2001)
Phy. Rev. E.
, vol.64
, pp. 026219
-
-
Just, W.1
Bose, M.2
Bose, S.3
Engel, H.4
Scholl, E.5
-
30
-
-
0033546065
-
Regular and irregular patterns in semiarid vegetation
-
Klausmeier C.A. Regular and irregular patterns in semiarid vegetation. Science 1999, 284:1826.
-
(1999)
Science
, vol.284
, pp. 1826
-
-
Klausmeier, C.A.1
-
31
-
-
0035427292
-
A Lyapunov function for LeslieGower predator-prey model
-
Korobeinikov A. A Lyapunov function for LeslieGower predator-prey model. Appl. Math. Lett. 2001, 14:697.
-
(2001)
Appl. Math. Lett.
, vol.14
, pp. 697
-
-
Korobeinikov, A.1
-
32
-
-
0000252357
-
Global qualitative analysis of a ratio-dependent predator-prey system
-
Kuang Y., Beretta E. Global qualitative analysis of a ratio-dependent predator-prey system. J. Math. Biol. 1998, 36:389.
-
(1998)
J. Math. Biol.
, vol.36
, pp. 389
-
-
Kuang, Y.1
Beretta, E.2
-
33
-
-
0001120901
-
The properties of a stochastic model for the predator-prey type of interaction between two species
-
Leslie P.H., Gower J.C. The properties of a stochastic model for the predator-prey type of interaction between two species. Biometrika 1960, 47:219.
-
(1960)
Biometrika
, vol.47
, pp. 219
-
-
Leslie, P.H.1
Gower, J.C.2
-
34
-
-
36849153282
-
Hypothesis for origin of planktonic patchiness
-
659-659
-
Levin S.A., Segel L.A. Hypothesis for origin of planktonic patchiness. Nature 1976, 259. 659-659.
-
(1976)
Nature
, vol.259
-
-
Levin, S.A.1
Segel, L.A.2
-
35
-
-
34250658146
-
Qualitative analysis of a ratio-dependent HollingTanner model
-
Liang Z., Pan H. Qualitative analysis of a ratio-dependent HollingTanner model. J. Math. Anal. Appl. 2007, 334:954.
-
(2007)
J. Math. Anal. Appl.
, vol.334
, pp. 954
-
-
Liang, Z.1
Pan, H.2
-
37
-
-
0001256338
-
The effects of space and enrichment on a predator-prey system
-
Luckinbill L.L. The effects of space and enrichment on a predator-prey system. Ecology 1974, 55:1142.
-
(1974)
Ecology
, vol.55
, pp. 1142
-
-
Luckinbill, L.L.1
-
38
-
-
0027845917
-
Spatio-temporal pattern formation in nonlinear nonequilibrium plankton dynamics
-
Malchow H. Spatio-temporal pattern formation in nonlinear nonequilibrium plankton dynamics. Proc. R. Soc. Lond. B 1993, 251:103.
-
(1993)
Proc. R. Soc. Lond. B
, vol.251
, pp. 103
-
-
Malchow, H.1
-
41
-
-
54949098474
-
Bifurcation and temporal and spatial patterns of a modified Lotka-Volterra model
-
Mcgehee E.A., Schutt N., Vasquez D.A., Peacock-Lopez E. Bifurcation and temporal and spatial patterns of a modified Lotka-Volterra model. Int. J. Bifur. Chaos 2008, 18:2223.
-
(2008)
Int. J. Bifur. Chaos
, vol.18
, pp. 2223
-
-
Mcgehee, E.A.1
Schutt, N.2
Vasquez, D.A.3
Peacock-Lopez, E.4
-
42
-
-
0036733930
-
Spatiotemporal complexity of plankton and fish dynamics
-
Medvinsky A., Petrovskii S., Tikhonova I., Malchow H., Li B-L. Spatiotemporal complexity of plankton and fish dynamics. SIAM Rev. 2002, 44:311.
-
(2002)
SIAM Rev.
, vol.44
, pp. 311
-
-
Medvinsky, A.1
Petrovskii, S.2
Tikhonova, I.3
Malchow, H.4
Li, B.-L.5
-
44
-
-
0001089850
-
Generic spatiotemporal dynamics near codimension-two TuringHopf bifurcations
-
Meixner M., De Wit A., Bose S., Scholl E. Generic spatiotemporal dynamics near codimension-two TuringHopf bifurcations. Phys. Rev. E 1997, 55:6690.
-
(1997)
Phys. Rev. E
, vol.55
, pp. 6690
-
-
Meixner, M.1
De Wit, A.2
Bose, S.3
Scholl, E.4
-
47
-
-
64449084527
-
Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem
-
Morozov A., Petrovskii S.V. Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem. Bull. Math. Biol. 2009, 71:863.
-
(2009)
Bull. Math. Biol.
, vol.71
, pp. 863
-
-
Morozov, A.1
Petrovskii, S.V.2
-
48
-
-
3042846003
-
Bifurcation, chaos and intermittency in the predator-prey system with the Allee effect
-
Morozov A., Petrovskii S.V., Li B.L. Bifurcation, chaos and intermittency in the predator-prey system with the Allee effect. Proc. R. Soc. Lond. B 2004, 271:1407.
-
(2004)
Proc. R. Soc. Lond. B
, vol.271
, pp. 1407
-
-
Morozov, A.1
Petrovskii, S.V.2
Li, B.L.3
-
51
-
-
0027806283
-
Diffusion-induced chaos in a spatial predator-prey system
-
Pascual M. Diffusion-induced chaos in a spatial predator-prey system. Proc. R. Soc. Lond. B 1993, 251:1.
-
(1993)
Proc. R. Soc. Lond. B
, vol.251
, pp. 1
-
-
Pascual, M.1
-
52
-
-
9644302359
-
Complex dynamics in a three-level trophic system with intraspecies interaction
-
Peet A.B., Deutsch P.A., Peacock-Lopez E. Complex dynamics in a three-level trophic system with intraspecies interaction. J. Theor. Biol. 2005, 232:491.
-
(2005)
J. Theor. Biol.
, vol.232
, pp. 491
-
-
Peet, A.B.1
Deutsch, P.A.2
Peacock-Lopez, E.3
-
53
-
-
0037406626
-
Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems
-
Petrovskii S.V., Li B.L., Malchow H. Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems. Bull. Math. Biol. 2003, 65:425.
-
(2003)
Bull. Math. Biol.
, vol.65
, pp. 425
-
-
Petrovskii, S.V.1
Li, B.L.2
Malchow, H.3
-
54
-
-
12944314880
-
Transition to spatiotemporal chaos can resolve the paradox of enrichment
-
Petrovskii S.V., Li B.L., Malchow H. Transition to spatiotemporal chaos can resolve the paradox of enrichment. Ecol. Complex. 2004, 1:37.
-
(2004)
Ecol. Complex.
, vol.1
, pp. 37
-
-
Petrovskii, S.V.1
Li, B.L.2
Malchow, H.3
-
55
-
-
0033120656
-
A minimal model of pattern formation in a prey-predator system
-
Petrovskii S.V., Malchow H. A minimal model of pattern formation in a prey-predator system. Math. Comp. Model. 1999, 29:49.
-
(1999)
Math. Comp. Model.
, vol.29
, pp. 49
-
-
Petrovskii, S.V.1
Malchow, H.2
-
56
-
-
0035718414
-
Wave of chaos: New mechanism of pattern formation in spatio-temporal population dynamics
-
Petrovskii S.V., Malchow H. Wave of chaos: New mechanism of pattern formation in spatio-temporal population dynamics. Theor. Pop. Biol. 2001, 59:157.
-
(2001)
Theor. Pop. Biol.
, vol.59
, pp. 157
-
-
Petrovskii, S.V.1
Malchow, H.2
-
58
-
-
67349268797
-
Dynamical analysis of a delayed ratio-dependent HollingTanner predator-prey model
-
Saha T., Chakrabarti C.G. Dynamical analysis of a delayed ratio-dependent HollingTanner predator-prey model. J. Math. Anal. Appl. 2009, 358:389.
-
(2009)
J. Math. Anal. Appl.
, vol.358
, pp. 389
-
-
Saha, T.1
Chakrabarti, C.G.2
-
59
-
-
0026314277
-
Should we expect strange attractors behind plankton dynamics - and if so, should we bother?
-
Scheffer M. Should we expect strange attractors behind plankton dynamics - and if so, should we bother?. J. Plankt. Res. 1991, 13:1291.
-
(1991)
J. Plankt. Res.
, vol.13
, pp. 1291
-
-
Scheffer, M.1
-
60
-
-
0015442349
-
Dissipative structure: an explanation and an ecological example
-
Segel L.A., Jackson J.L. Dissipative structure: an explanation and an ecological example. J. Theor. Biol. 1972, 37:545.
-
(1972)
J. Theor. Biol.
, vol.37
, pp. 545
-
-
Segel, L.A.1
Jackson, J.L.2
-
61
-
-
0035127918
-
Periodic travelling waves in cyclic predator-prey systems
-
Sherratt J.A. Periodic travelling waves in cyclic predator-prey systems. Ecol. Lett. 2001, 4:30.
-
(2001)
Ecol. Lett.
, vol.4
, pp. 30
-
-
Sherratt, J.A.1
-
62
-
-
0030814768
-
Oscillations and chaos behind predator-prey invasion: mathematical artifact or ecological reality?
-
Sherratt J.A., Eagan B.T., Lewis M.A. Oscillations and chaos behind predator-prey invasion: mathematical artifact or ecological reality?. Phil. Trans. R. Soc. Lond. B 1997, 352:21.
-
(1997)
Phil. Trans. R. Soc. Lond. B
, vol.352
, pp. 21
-
-
Sherratt, J.A.1
Eagan, B.T.2
Lewis, M.A.3
-
64
-
-
40749098198
-
Periodic travelling waves in cyclic populations: field studies and reaction diffusion models
-
Sherratt J.A., Smith M. Periodic travelling waves in cyclic populations: field studies and reaction diffusion models. J.R. Soc. Interface 2008, 5:483.
-
(2008)
J.R. Soc. Interface
, vol.5
, pp. 483
-
-
Sherratt, J.A.1
Smith, M.2
-
65
-
-
84873069600
-
-
Cross-diffusion induced instability and stability in reaction-diffusion systems, Preprint.
-
J.P. Shi, Z.F. Xie, K. Little, Cross-diffusion induced instability and stability in reaction-diffusion systems, Preprint.
-
-
-
Shi, J.P.1
Xie, Z.F.2
Little, K.3
-
66
-
-
0142029166
-
Stripes, spots, or reversed spots in two-dimensional Turing systems
-
Shoji H., Iwasa Y., Kondo S. Stripes, spots, or reversed spots in two-dimensional Turing systems. J. Theor. Biol. 2003, 224:339.
-
(2003)
J. Theor. Biol.
, vol.224
, pp. 339
-
-
Shoji, H.1
Iwasa, Y.2
Kondo, S.3
-
67
-
-
23944523330
-
Labyrinthine versus straight-striped patterns generated by two-dimensional Turing systems
-
Shoji H., Iwasa Y. Labyrinthine versus straight-striped patterns generated by two-dimensional Turing systems. J. Theor. Biol. 2005, 237:104.
-
(2005)
J. Theor. Biol.
, vol.237
, pp. 104
-
-
Shoji, H.1
Iwasa, Y.2
-
68
-
-
34548015250
-
Chaotic oscillations and cycles in multi-trophic ecological systems
-
Stone L., He D. Chaotic oscillations and cycles in multi-trophic ecological systems. J. Theor. Biol. 2007, 248:382.
-
(2007)
J. Theor. Biol.
, vol.248
, pp. 382
-
-
Stone, L.1
He, D.2
-
70
-
-
0000301505
-
The stability and intrinsic growth rates of prey and predator populations
-
Tanner J.T. The stability and intrinsic growth rates of prey and predator populations. Ecology 1975, 56:855.
-
(1975)
Ecology
, vol.56
, pp. 855
-
-
Tanner, J.T.1
-
73
-
-
70350566024
-
Reaction-diffusion waves in biology
-
Volpert V., Petrovskii S. Reaction-diffusion waves in biology. Phys. Life Rev 2009, 6:267.
-
(2009)
Phys. Life Rev
, vol.6
, pp. 267
-
-
Volpert, V.1
Petrovskii, S.2
-
74
-
-
0002604954
-
Variazioni e fluttuazioni del numero d'individui in specie animali conviventi
-
Volterra V. Variazioni e fluttuazioni del numero d'individui in specie animali conviventi. Mem. R. Accad. Naz. dei Lincei. Ser. VI 1926, 2.
-
(1926)
Mem. R. Accad. Naz. dei Lincei. Ser. VI
, vol.2
-
-
Volterra, V.1
-
75
-
-
34347224051
-
Spatiotemporal complexity of a ratio-dependent predator-prey system
-
Wang W., Liu Q.X., Jin Z. Spatiotemporal complexity of a ratio-dependent predator-prey system. Phy. Rev. E 2007, 75:051913.
-
(2007)
Phy. Rev. E
, vol.75
, pp. 051913
-
-
Wang, W.1
Liu, Q.X.2
Jin, Z.3
-
76
-
-
0001486210
-
Brousse tigrée patterns in Southern Niger
-
White L.P. Brousse tigrée patterns in Southern Niger. J. Ecol. 1970, 58:549.
-
(1970)
J. Ecol.
, vol.58
, pp. 549
-
-
White, L.P.1
-
77
-
-
38249030117
-
Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
-
Wollkind D.J., Collings J.B., Logan J.A. Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees. Bull. Math. Biol. 1988, 50:379.
-
(1988)
Bull. Math. Biol.
, vol.50
, pp. 379
-
-
Wollkind, D.J.1
Collings, J.B.2
Logan, J.A.3
-
78
-
-
0035464834
-
Global dynamics of a ratio-dependent predator-prey systems
-
Xiao D., Ruan S. Global dynamics of a ratio-dependent predator-prey systems. J. Math. Biol. 2001, 43:268.
-
(2001)
J. Math. Biol.
, vol.43
, pp. 268
-
-
Xiao, D.1
Ruan, S.2
-
79
-
-
84455180033
-
Turing instability in a coupled predator-prey model with different Holling type functional responses
-
Xie Z.F. turing instability in a coupled predator-prey model with different Holling type functional responses. DCDS-S 2011, 4:1621.
-
(2011)
DCDS-S
, vol.4
, pp. 1621
-
-
Xie, Z.F.1
|