-
1
-
-
33847055875
-
Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
-
Baurmann M., Gross T., and Feudel U. Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations. J. Theor. Biol. 245 (2007) 220-229
-
(2007)
J. Theor. Biol.
, vol.245
, pp. 220-229
-
-
Baurmann, M.1
Gross, T.2
Feudel, U.3
-
2
-
-
0035958646
-
Noisy clockwork: time series analysis of population fluctuations in animals
-
Bjornstad O.N., and Grenfell B.T. Noisy clockwork: time series analysis of population fluctuations in animals. Science 293 (2001) 638-643
-
(2001)
Science
, vol.293
, pp. 638-643
-
-
Bjornstad, O.N.1
Grenfell, B.T.2
-
3
-
-
0033609387
-
Complex dynamics and phase synchronization in spatially extended ecological systems
-
Blasius B., Huppert A., and Stone L. Complex dynamics and phase synchronization in spatially extended ecological systems. Nature 399 (1999) 354-359
-
(1999)
Nature
, vol.399
, pp. 354-359
-
-
Blasius, B.1
Huppert, A.2
Stone, L.3
-
4
-
-
0024219255
-
Dynamic optimization of combined harvesting of a two species fishery
-
Chaudhuri K. Dynamic optimization of combined harvesting of a two species fishery. Ecol. Model. 41 (1988) 17-25
-
(1988)
Ecol. Model.
, vol.41
, pp. 17-25
-
-
Chaudhuri, K.1
-
5
-
-
0038378805
-
Interannual variation in phytoplankton blooms and zooplankton productivity and abundance in the gulf of maine during winter
-
Durbin E.G., Campbell R.G., Casas M.C., Ohman M.D., Niehoff B., Runge J., and Wagner M. Interannual variation in phytoplankton blooms and zooplankton productivity and abundance in the gulf of maine during winter. Mar. Ecol. Prog. Ser. 254 (2003) 81-100
-
(2003)
Mar. Ecol. Prog. Ser.
, vol.254
, pp. 81-100
-
-
Durbin, E.G.1
Campbell, R.G.2
Casas, M.C.3
Ohman, M.D.4
Niehoff, B.5
Runge, J.6
Wagner, M.7
-
7
-
-
0036350561
-
Behavioral stochastic resonance: how the noise from a daphnia swarm enhances individual prey capture by juvenile paddlefish
-
Freund J.A., Schimansky-Geier L., Beisner B., Neiman A., Russell D.F., Yakusheva T., and Moss F. Behavioral stochastic resonance: how the noise from a daphnia swarm enhances individual prey capture by juvenile paddlefish. J. Theor. Biol. 214 (2002) 71-83
-
(2002)
J. Theor. Biol.
, vol.214
, pp. 71-83
-
-
Freund, J.A.1
Schimansky-Geier, L.2
Beisner, B.3
Neiman, A.4
Russell, D.F.5
Yakusheva, T.6
Moss, F.7
-
9
-
-
34848888912
-
Finite element approximations of spatially extended predator-prey interactions with the Holling type II functional response
-
Garvie M.R., and Trenchea C. Finite element approximations of spatially extended predator-prey interactions with the Holling type II functional response. Numerische Mathematik 107 (2007) 641-667
-
(2007)
Numerische Mathematik
, vol.107
, pp. 641-667
-
-
Garvie, M.R.1
Trenchea, C.2
-
10
-
-
33947514402
-
Finite-difference schemes for reaction"Cdiffusion equations modeling predator-prey interactions in matlab
-
Garvie M.R. Finite-difference schemes for reaction"Cdiffusion equations modeling predator-prey interactions in matlab. Bull. Math. Biol. 69 (2007) 931-956
-
(2007)
Bull. Math. Biol.
, vol.69
, pp. 931-956
-
-
Garvie, M.R.1
-
12
-
-
0033515831
-
Simple lessons from complexity
-
Goldenfeld N., and Kadano L.P. Simple lessons from complexity. Science 284 (1999) 87-89
-
(1999)
Science
, vol.284
, pp. 87-89
-
-
Goldenfeld, N.1
Kadano, L.P.2
-
13
-
-
0035439412
-
An algorithmic introduction to numerical simulation of stochastic differential equations
-
Higham D.J. An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Rev. 43 (2001) 525-546
-
(2001)
SIAM Rev.
, vol.43
, pp. 525-546
-
-
Higham, D.J.1
-
14
-
-
0027041491
-
Variation in herbivore response to chemical defenses: zooplankton foraging on toxic cyanobacteria
-
Kirk K.L., and Gilbert J.J. Variation in herbivore response to chemical defenses: zooplankton foraging on toxic cyanobacteria. Ecology 73 (1992) 2208-2217
-
(1992)
Ecology
, vol.73
, pp. 2208-2217
-
-
Kirk, K.L.1
Gilbert, J.J.2
-
15
-
-
44949229124
-
Resonance and frequency-locking phenomena in spatially extended phytoplankton-zooplankton system with additive noise and periodic forces
-
Liu Q.-X., Jin Z., and Li B.-L. Resonance and frequency-locking phenomena in spatially extended phytoplankton-zooplankton system with additive noise and periodic forces. J. Stat. Mech. (2008) 05011
-
(2008)
J. Stat. Mech.
, pp. 05011
-
-
Liu, Q.-X.1
Jin, Z.2
Li, B.-L.3
-
16
-
-
0034697624
-
Motional instabilities in predator-prey systems
-
Malchow H. Motional instabilities in predator-prey systems. J. Theor. Biol. 204 (2000) 639-647
-
(2000)
J. Theor. Biol.
, vol.204
, pp. 639-647
-
-
Malchow, H.1
-
17
-
-
41349105879
-
Trichotomous-noise-induced catastrophic shifts in symbiotic ecosystems
-
Mankin R., Ainsaar A., Haljas A., and Reiter E. Trichotomous-noise-induced catastrophic shifts in symbiotic ecosystems. Phys. Rev. E 65 (2002) 051108
-
(2002)
Phys. Rev. E
, vol.65
, pp. 051108
-
-
Mankin, R.1
Ainsaar, A.2
Haljas, A.3
Reiter, E.4
-
18
-
-
37649029946
-
Colored-noise-induced discontinuous transitions in symbiotic ecosystems
-
Mankin R., Sauga A., Ainsaar A., Haljas A., and Paunel K. Colored-noise-induced discontinuous transitions in symbiotic ecosystems. Phys. Rev. E 69 (2004) 061106
-
(2004)
Phys. Rev. E
, vol.69
, pp. 061106
-
-
Mankin, R.1
Sauga, A.2
Ainsaar, A.3
Haljas, A.4
Paunel, K.5
-
19
-
-
0001328967
-
Stochastic resonance in a tunnel diode
-
Mantegna R.N., and Spagnolo B. Stochastic resonance in a tunnel diode. Phys. Rev. E 49 (1994) R1792-R1795
-
(1994)
Phys. Rev. E
, vol.49
-
-
Mantegna, R.N.1
Spagnolo, B.2
-
20
-
-
0001141743
-
Noise enhanced stability in an unstable system
-
Mantegna R.N., and Spagnolo B. Noise enhanced stability in an unstable system. Phys. Rev. Lett. 76 (1996) 563-566
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 563-566
-
-
Mantegna, R.N.1
Spagnolo, B.2
-
21
-
-
0038378793
-
Effects of spatial and temporal variability of turbidity on phytoplankton blooms
-
May C.L., Koseff J.R., Lucas L.V., Cloern J.E., and Schoellhamer D.H. Effects of spatial and temporal variability of turbidity on phytoplankton blooms. Mar. Ecol. Prog. Ser. 254 (2003) 111-128
-
(2003)
Mar. Ecol. Prog. Ser.
, vol.254
, pp. 111-128
-
-
May, C.L.1
Koseff, J.R.2
Lucas, L.V.3
Cloern, J.E.4
Schoellhamer, D.H.5
-
22
-
-
0036733930
-
Spatio-temporal complexity of plankton and fish dynamics in simple model ecosystems
-
Medvinsky A.B., Petrovskii S.V., Tikhonova I.A., Malchow H., and Li B.-L. Spatio-temporal complexity of plankton and fish dynamics in simple model ecosystems. SIAM Rev. 44 3 (2002) 311-370
-
(2002)
SIAM Rev.
, vol.44
, Issue.3
, pp. 311-370
-
-
Medvinsky, A.B.1
Petrovskii, S.V.2
Tikhonova, I.A.3
Malchow, H.4
Li, B.-L.5
-
23
-
-
64449084527
-
Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem
-
Morozov A.Y., and Petrovskii S.V. Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem. Bull. Math. Biol. 71 (2009) 863-887
-
(2009)
Bull. Math. Biol.
, vol.71
, pp. 863-887
-
-
Morozov, A.Y.1
Petrovskii, S.V.2
-
24
-
-
0000518462
-
Scenarios of domain pattern formation in a reaction-diffusion system
-
Muratov C.B., and Osipov V.V. Scenarios of domain pattern formation in a reaction-diffusion system. Phys. Rev. E 54 (1996) 4860-4879
-
(1996)
Phys. Rev. E
, vol.54
, pp. 4860-4879
-
-
Muratov, C.B.1
Osipov, V.V.2
-
25
-
-
0000203591
-
Self-replication and splitting of domain patterns in reaction-diffusion systems with the fast inhibitor
-
Muratov C.B. Self-replication and splitting of domain patterns in reaction-diffusion systems with the fast inhibitor. Phys. Rev. E 4 (1996) 3369-3376
-
(1996)
Phys. Rev. E
, vol.4
, pp. 3369-3376
-
-
Muratov, C.B.1
-
27
-
-
12944314880
-
Transition to spatiotemporal chaos can resolve the paradox of enrichment
-
Petrovskii S., Li B.L., and Malchow H. Transition to spatiotemporal chaos can resolve the paradox of enrichment. Ecol. Complex. 1 (2004) 37-47
-
(2004)
Ecol. Complex.
, vol.1
, pp. 37-47
-
-
Petrovskii, S.1
Li, B.L.2
Malchow, H.3
-
28
-
-
16344366772
-
Regimes of biological invasion in a predator-prey system with the Allee effect
-
Petrovskii S., Morozov A., and Li B.L. Regimes of biological invasion in a predator-prey system with the Allee effect. Bull. Math. Biol. 67 (2005) 637-661
-
(2005)
Bull. Math. Biol.
, vol.67
, pp. 637-661
-
-
Petrovskii, S.1
Morozov, A.2
Li, B.L.3
-
30
-
-
67349111805
-
Spatiotemporal complexity of a predator-prey system with the effect of noise and external forcing. Chaos
-
Rao F., Wang W., and Li Z. Spatiotemporal complexity of a predator-prey system with the effect of noise and external forcing. Chaos. Solitons and Fractals 41 (2009) 1634-1644
-
(2009)
Solitons and Fractals
, vol.41
, pp. 1634-1644
-
-
Rao, F.1
Wang, W.2
Li, Z.3
-
31
-
-
36849066945
-
Noise and correlations in a spatial population model with cyclic competition
-
Reichenbach T., Mobilia M., and Frey E. Noise and correlations in a spatial population model with cyclic competition. Phys. Rev. Lett. 99 (2007) 238105
-
(2007)
Phys. Rev. Lett.
, vol.99
, pp. 238105
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
32
-
-
34548305141
-
Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games
-
Reichenbach T., Mobilia M., and Frey E. Mobility promotes and jeopardizes biodiversity in rock-paper-scissors games. Nature 448 (2007) 1046-1049
-
(2007)
Nature
, vol.448
, pp. 1046-1049
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
33
-
-
44949114942
-
Self-organization of mobile populations in cyclic competition
-
Preprint
-
Reichenbach, T., Mobilia, M., Frey, E., 2008. Self-organization of mobile populations in cyclic competition. Preprint.
-
(2008)
-
-
Reichenbach, T.1
Mobilia, M.2
Frey, E.3
-
34
-
-
60249100324
-
Spatio-temporal patterns of gene flow and dispersal under temperature increase
-
Richter O. Spatio-temporal patterns of gene flow and dispersal under temperature increase. Math. Biosci. 218 (2009) 15-23
-
(2009)
Math. Biosci.
, vol.218
, pp. 15-23
-
-
Richter, O.1
-
35
-
-
0035846180
-
Catastrophic shifts in ecosystems
-
Scheffer M., Carpenter S., Foley J., Folke C., and Walker B. Catastrophic shifts in ecosystems. Nature 413 (2001) 591-596
-
(2001)
Nature
, vol.413
, pp. 591-596
-
-
Scheffer, M.1
Carpenter, S.2
Foley, J.3
Folke, C.4
Walker, B.5
-
36
-
-
85194563561
-
-
See the special section on Ecology Through Time, 2001. Science 293, 623.
-
See the special section on "Ecology Through Time", 2001. Science 293, 623.
-
-
-
-
37
-
-
0030814768
-
Oscillations and chaos behind predator-prey invasion: mathematical artifact or ecological reality?
-
Sherratt J.A., Eagan B.T., and Lewis M.A. Oscillations and chaos behind predator-prey invasion: mathematical artifact or ecological reality?. Philos. Trans. R. Soc. Lond. B 352 (1997) 21-38
-
(1997)
Philos. Trans. R. Soc. Lond. B
, vol.352
, pp. 21-38
-
-
Sherratt, J.A.1
Eagan, B.T.2
Lewis, M.A.3
-
38
-
-
38349080821
-
Propagation of travelling waves in sub-excitable systems driven by noise and periodic forcing
-
Si F.N., Liu Q.X., Zhang J.Z., and Zhou L.Q. Propagation of travelling waves in sub-excitable systems driven by noise and periodic forcing. Eur. Phys. J. B 60 (2007) 507-513
-
(2007)
Eur. Phys. J. B
, vol.60
, pp. 507-513
-
-
Si, F.N.1
Liu, Q.X.2
Zhang, J.Z.3
Zhou, L.Q.4
-
41
-
-
0035516421
-
Spatial and temporal noise spectra of spatially extended systems with order-disorder phase transitions
-
Staliunas K. Spatial and temporal noise spectra of spatially extended systems with order-disorder phase transitions. Int. J. Bifurcat. Chaos 11 (2001) 2845-2852
-
(2001)
Int. J. Bifurcat. Chaos
, vol.11
, pp. 2845-2852
-
-
Staliunas, K.1
-
42
-
-
38049009460
-
Pattern formation in a spatial s-i model with non-linear incidence rates
-
Sun G., Jin Z., Liu Q.-X., and Li L. Pattern formation in a spatial s-i model with non-linear incidence rates. J. Stat. Mech. 11 (2007) 11011
-
(2007)
J. Stat. Mech.
, vol.11
, pp. 11011
-
-
Sun, G.1
Jin, Z.2
Liu, Q.-X.3
Li, L.4
-
43
-
-
54049134367
-
Dynamical complexity of a spatial predator-prey model with migration
-
Sun G.-Q., Jin Z., Liu Q.-X., and Li L. Dynamical complexity of a spatial predator-prey model with migration. Ecol. Model. 219 (2008) 248-255
-
(2008)
Ecol. Model.
, vol.219
, pp. 248-255
-
-
Sun, G.-Q.1
Jin, Z.2
Liu, Q.-X.3
Li, L.4
-
44
-
-
51349145145
-
Chaos induced by breakup of waves in a spatial epidemic model with nonlinear incidence rate
-
Sun G.-Q., Jin Z., Liu Q.-X., and Li L. Chaos induced by breakup of waves in a spatial epidemic model with nonlinear incidence rate. J. Stat. Mech. 08 (2008) 08011
-
(2008)
J. Stat. Mech.
, vol.8
, pp. 08011
-
-
Sun, G.-Q.1
Jin, Z.2
Liu, Q.-X.3
Li, L.4
-
45
-
-
64749094725
-
Spatial pattern in a predator-prey system with both self- and cross-diffusion
-
Sun G.-Q., Jin Z., Zhao Y.G., Liu Q.-X., and Li L. Spatial pattern in a predator-prey system with both self- and cross-diffusion. Int. J. Mod. Phys. C 20 (2009) 71-84
-
(2009)
Int. J. Mod. Phys. C
, vol.20
, pp. 71-84
-
-
Sun, G.-Q.1
Jin, Z.2
Zhao, Y.G.3
Liu, Q.-X.4
Li, L.5
-
46
-
-
0242607004
-
Stochastic resonance and noise delayed extinction in a model of two competing species
-
Valenti D., Fiasconaro A., and Spagnolo B. Stochastic resonance and noise delayed extinction in a model of two competing species. Physica A 331 (2004) 477-486
-
(2004)
Physica A
, vol.331
, pp. 477-486
-
-
Valenti, D.1
Fiasconaro, A.2
Spagnolo, B.3
-
47
-
-
0000607420
-
Effects of noise in symmetric two-species competition
-
Vilar J.M.G., and Solé R.V. Effects of noise in symmetric two-species competition. Phys. Rev. Lett. 80 (1998) 4099
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 4099
-
-
Vilar, J.M.G.1
Solé, R.V.2
-
48
-
-
13944265092
-
Coexistence of cycling and dispersing consumer species: Armstrong and Mcgehee in space
-
Wilson W., and Abrams P. Coexistence of cycling and dispersing consumer species: Armstrong and Mcgehee in space. Am. Nat. 165 2 (2005) 193-205
-
(2005)
Am. Nat.
, vol.165
, Issue.2
, pp. 193-205
-
-
Wilson, W.1
Abrams, P.2
-
49
-
-
0031889278
-
Resolving discrepancies between population models and individual-based simulations
-
Wilson W.G. Resolving discrepancies between population models and individual-based simulations. Am. Nat. 151 (1998) 116-134
-
(1998)
Am. Nat.
, vol.151
, pp. 116-134
-
-
Wilson, W.G.1
-
50
-
-
67349271650
-
Spatiotemporal complexity of a predator-prey system with constant harvest rate.
-
Zhang L., Wang W., and Xue Y. Spatiotemporal complexity of a predator-prey system with constant harvest rate. Chaos Solitions Fract. 41 (2009) 38-46
-
(2009)
Chaos Solitions Fract.
, vol.41
, pp. 38-46
-
-
Zhang, L.1
Wang, W.2
Xue, Y.3
-
51
-
-
0001884203
-
Complex systems: life after chaos
-
Zimmer C. Complex systems: life after chaos. Science 284 (1999) 83-86
-
(1999)
Science
, vol.284
, pp. 83-86
-
-
Zimmer, C.1
|