-
1
-
-
0035135563
-
Sustained oscillations in stochastic systems
-
DOI 10.1016/S0025-5564(00)00050-X, PII S002555640000050X
-
Aparicio, J. P. & Solari, H. G. 2001 Sustained oscillations in stochastic systems. Math. Biosci. 169, 15-25. (doi:10.1016/S0025-5564(00)00050- X) (Pubitemid 32158490)
-
(2001)
Mathematical Biosciences
, vol.169
, Issue.1
, pp. 15-25
-
-
Aparicio, J.P.1
Solari, H.G.2
-
2
-
-
0017068359
-
Bifurcation analysis of reaction-diffusion equations. III. Chemical oscillations
-
doi:10.1007/BF02462209
-
Auchmuty, J. F. G. & Nicolis, G. 1976 Bifurcation analysis of reaction-diffusion equations. III. Chemical oscillations. Bull. Math. Biol. 38, 325-350. (doi:10.1007/BF02462209)
-
(1976)
Bull. Math. Biol.
, vol.38
, pp. 325-350
-
-
Auchmuty, J.F.G.1
Nicolis, G.2
-
3
-
-
0036829686
-
Waves of larch budmoth outbreaks in the European alps
-
DOI 10.1126/science.1075182
-
Bjørnstad, O. N., Peltonen, M., Liebhold, A. M. & Baltensweiler, W. 2002 Waves of larch budmoth outbreaks in the European alps. Science 298, 1020-1023. (doi:10.1126/science.1075182) (Pubitemid 35247308)
-
(2002)
Science
, vol.298
, Issue.5595
, pp. 1020-1023
-
-
Bjornstad, O.N.1
Peltonen, M.2
Liebhold, A.M.3
Baltensweiler, W.4
-
4
-
-
0025545718
-
Spatial structures and periodic travelling waves in an integro-differential reaction-diffusion population model
-
doi:10.1137/0150099
-
Britton, N. F. 1990 Spatial structures and periodic travelling waves in an integro-differential reaction-diffusion population model. SIAM J. Appl. Math. 50, 1663-1688. (doi:10.1137/ 0150099)
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 1663-1688
-
-
Britton, N.F.1
-
5
-
-
23344432493
-
Noise-induced stability in dryland plant ecosystems
-
DOI 10.1073/pnas.0502884102
-
D'Odorico, P., Laio, F. & Ridolfi, L. 2005 Noise-induced stability in dryland plant ecosystems. Proc. Natl Acad. Sci. USA 102, 10 819-10 822. (doi:10.1073/pnas.0502884102) (Pubitemid 41105949)
-
(2005)
Proceedings of the National Academy of Sciences of the United States of America
, vol.102
, Issue.31
, pp. 10819-10822
-
-
D'Odorico, P.1
Laio, F.2
Ridolfi, L.3
-
6
-
-
33846696931
-
Impact of noise on bistable ecological systems
-
DOI 10.1016/j.ecolmodel.2006.10.005, PII S030438000600490X
-
Guttal, V. & Jayaprakashh, C. 2007 Impact of noise on bistable ecological systems. Ecol. Model. 201, 420-428. (doi:10.1016/j.ecolmodel.2006.10. 005) (Pubitemid 46199029)
-
(2007)
Ecological Modelling
, vol.201
, Issue.3-4
, pp. 420-428
-
-
Guttal, V.1
Jayaprakash, C.2
-
7
-
-
0026268962
-
Spatial structure and chaos in insect population dynamics
-
doi:10.1038/353255a0
-
Hassell, M., Comins, H. & May, R. M. 1991 Spatial structure and chaos in insect population dynamics. Nature 353, 255-258. (doi:10.1038/353255a0)
-
(1991)
Nature
, vol.353
, pp. 255-258
-
-
Hassell, M.1
Comins, H.2
May, R.M.3
-
8
-
-
84888258034
-
The components of predation as revealed by a study of small mammal predation of the European pine sawfly
-
Holling, C. S. 1959 The components of predation as revealed by a study of small mammal predation of the European pine sawfly. Can. Entomol. 91, 293-320.
-
(1959)
Can. Entomol.
, vol.91
, pp. 293-320
-
-
Holling, C.S.1
-
9
-
-
0003566946
-
-
Springer Series in Synergetics, no. Berlin, Germany: Springer
-
Horsthemke, W. & Lefever, R. 1984 Noise-induced transitions. Theory and applications in physics, chemistry, and biology. Springer Series in Synergetics, no.15. Berlin, Germany: Springer.
-
(1984)
Noise-Induced Transitions. Theory and Applications in Physics, Chemistry, and Biology
, vol.15
-
-
Horsthemke, W.1
Lefever, R.2
-
11
-
-
0034912178
-
Spatial noise stabilizes periodic wave patterns in oscillatory systems on finite domains
-
doi:10.1137/S0036139999360696
-
Kay, A. L. & Sherratt, J. A. 2000 Spatial noise stabilizes periodic wave patterns in oscillatory systems on finite domains. SIAM J. Appl. Math. 61, 1013-1041. (doi:10.1137/ S0036139999360696)
-
(2000)
SIAM J. Appl. Math.
, vol.61
, pp. 1013-1041
-
-
Kay, A.L.1
Sherratt, J.A.2
-
13
-
-
0000588222
-
Plane wave solutions to reaction-diffusion equations
-
Kopell, N. & Howard, L. N. 1973 Plane wave solutions to reaction-diffusion equations. Stud. Appl. Math. 52, 291-328.
-
(1973)
Stud. Appl. Math.
, vol.52
, pp. 291-328
-
-
Kopell, N.1
Howard, L.N.2
-
14
-
-
0003886783
-
-
Springer Series in Synergetics, no. Berlin, Germany: Springer
-
Kuramoto, Y. 1984 Chemical oscillations, waves, and turbulence. Springer Series in Synergetics, no.19. Berlin, Germany: Springer.
-
(1984)
Chemical Oscillations, Waves, and Turbulence
, vol.19
-
-
Kuramoto, Y.1
-
15
-
-
33847630066
-
Sustained oscillations via coherence resonance in SIR
-
DOI 10.1016/j.jtbi.2006.10.029, PII S0022519306004930
-
Kuske, R., Gordillo, L. F. & Greenwood, P. 2007 Sustained oscillations via coherence resonance in SIR. J. Theor. Biol. 245, 459-469. (doi:10.1016/j.jtbi.2006.10.029) (Pubitemid 46365738)
-
(2007)
Journal of Theoretical Biology
, vol.245
, Issue.3
, pp. 459-469
-
-
Kuske, R.1
Gordillo, L.F.2
Greenwood, P.3
-
16
-
-
0032558265
-
Spatial asynchrony and periodic travelling waves in cyclic populations of field voles
-
Lambin, X., Elston, D. A., Petty, S. J. & MacKinnon, J. L. 1998 Spatial asynchrony and periodic travelling waves in cyclic populations of field voles. Proc. Biol. Sci. B 265, 1491-1496.
-
(1998)
Proc. Biol. Sci. B
, vol.265
, pp. 1491-1496
-
-
Lambin, X.1
Elston, D.A.2
Petty, S.J.3
MacKinnon, J.L.4
-
17
-
-
0003062258
-
Stability of periodic traveling wave solutions with large spatial periods in reaction- diffusion systems
-
doi:10.1016/0022-0396(81)90084-X
-
Maginu, K. 1981 Stability of periodic traveling wave solutions with large spatial periods in reaction- diffusion systems. J. Diff. Equat. 39, 73-99. (doi:10.1016/0022-0396(81)90084-X)
-
(1981)
J. Diff. Equat.
, vol.39
, pp. 73-99
-
-
Maginu, K.1
-
18
-
-
28844476141
-
Spatiotemporal patterns in an excitable plankton system with lysogenic viral infection
-
DOI 10.1016/j.mcm.2004.10.025, PII S0895717705003596
-
Malchow, H., Hilker, F. M., Sarkar, R. R. & Brauer, K. 2005 Spatiotemporal patterns in an excitable plankton system with lysogenic viral infection. Math. Comput. Model. 42, 1035-1048. (doi:10.1016/j.mcm.2004.10.025) (Pubitemid 41774485)
-
(2005)
Mathematical and Computer Modelling
, vol.42
, Issue.9-10
, pp. 1035-1048
-
-
Malchow, H.1
Hilker, F.M.2
Sarkar, R.R.3
Brauer, K.4
-
19
-
-
0033120656
-
A minimal model of pattern formation in a prey-predator system
-
DOI 10.1016/S0895-7177(99)00070-9, PII S0895717799000709
-
Petrovskii, S. V. & Malchow, H. 1999 A minimal model of pattern formation in a prey-predator system. Math. Comput. Model. 29, 49-63. (doi:10.1016/S0895-7177(99)00070-9) (Pubitemid 29245400)
-
(1999)
Mathematical and Computer Modelling
, vol.29
, Issue.8
, pp. 49-63
-
-
Petrovskii, S.V.1
Malchow, H.2
-
20
-
-
0034147519
-
Critical phenomena in plankton communities: Kiss model revisited
-
doi:10.1016/S0362-546X(99)00392-2
-
Petrovskii, S. V. & Malchow, H. 2000 Critical phenomena in plankton communities: KISS model revisited. Nonlinear Anal. Real World Appl. 1, 37-51. (doi:10.1016/S0362-546X(99)00392-2)
-
(2000)
Nonlinear Anal. Real World Appl.
, vol.1
, pp. 37-51
-
-
Petrovskii, S.V.1
Malchow, H.2
-
21
-
-
0035718414
-
Wave of chaos: New mechanism of pattern formation in spatio-temporal population dynamics
-
DOI 10.1006/tpbi.2000.1509
-
Petrovskii, S. V. & Malchow, H. 2001Wave of chaos: new mechanism of pattern formation in spatiotemporal population dynamics. Theor. Popul. Biol. 59, 157-174. (doi:10.1006/tpbi.2000.1509) (Pubitemid 34152372)
-
(2001)
Theoretical Population Biology
, vol.59
, Issue.2
, pp. 157-174
-
-
Petrovskii, S.V.1
Malchow, H.2
-
22
-
-
0000509710
-
Spatial-temporal dynamics of a localized populational burst in a distributed prey-predator system
-
Petrovskii, S. V., Vinogradov, M. & Morozov, A. 1998 Spatial-temporal dynamics of a localized populational burst in a distributed prey-predator system. Oceanology 38, 881-890.
-
(1998)
Oceanology
, vol.38
, pp. 881-890
-
-
Petrovskii, S.V.1
Vinogradov, M.2
Morozov, A.3
-
23
-
-
0037406626
-
Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems
-
doi:10.1016/ S0092-8240(03)00004-1
-
Petrovskii, S. V., Li, B.-L. & Malchow, H. 2003 Quantification of the spatial aspect of chaotic dynamics in biological and chemical systems. Bull. Math. Biol. 65, 425-446. (doi:10.1016/ S0092-8240(03)00004-1)
-
(2003)
Bull. Math. Biol.
, vol.65
, pp. 425-446
-
-
Petrovskii, S.V.1
Li, B.-L.2
Malchow, H.3
-
24
-
-
0031437943
-
Travelling waves in vole population dynamics [5]
-
DOI 10.1038/37261
-
Ranta, E. & Kaitala, V. 1997 Travelling waves in vole population dynamics. Nature 390, 456. (doi:10.1038/37261) (Pubitemid 28013116)
-
(1997)
Nature
, vol.390
, Issue.6659
, pp. 456
-
-
Ranta, E.1
Kaitala, V.2
-
25
-
-
0001524523
-
Graphical representation and stability conditions of predator-prey interactions
-
doi:10.1086/282272
-
Rosenzweig, M. L. & MacArthur, R. H. 1963 Graphical representation and stability conditions of predator-prey interactions. Am. Nat. 97, 209-223. (doi:10.1086/282272)
-
(1963)
Am. Nat.
, vol.97
, pp. 209-223
-
-
Rosenzweig, M.L.1
MacArthur, R.H.2
-
26
-
-
0242629042
-
Catastrophic regime shifts in ecosystems: Linking theory to observation
-
DOI 10.1016/j.tree.2003.09.002
-
Scheffer, M. & Carpenter, S. R. 2003 Catastrophic regime shifts in ecosystems: linking theory to observation. Trends Ecol. Evol. 18, 648-656. (doi:10.1016/j.tree.2003.09.002) (Pubitemid 37399486)
-
(2003)
Trends in Ecology and Evolution
, vol.18
, Issue.12
, pp. 648-656
-
-
Scheffer, M.1
Carpenter, S.R.2
-
28
-
-
67651119990
-
Noise-triggered regime shifts in a simple aquatic model
-
doi:10.1016/j.ecocom.2009.03.002
-
Serizawa, H., Amemiya, T. & Itoh, K. 2009 Noise-triggered regime shifts in a simple aquatic model. Ecol. Complex. 6, 375-382. (doi:10.1016/j.ecocom.2009.03.002)
-
(2009)
Ecol. Complex.
, vol.6
, pp. 375-382
-
-
Serizawa, H.1
Amemiya, T.2
Itoh, K.3
-
29
-
-
0028518381
-
On the evolution of periodic plane waves in reaction-diffusion equations of lambda-omega type
-
doi:10.1137/S0036139993243746
-
Sherratt, J. A. 1994 On the evolution of periodic plane waves in reaction-diffusion equations of lambda-omega type. SIAM J. Appl. Math. 54, 1374-1385. (doi:10.1137/ S0036139993243746)
-
(1994)
SIAM J. Appl. Math.
, vol.54
, pp. 1374-1385
-
-
Sherratt, J.A.1
-
30
-
-
0039883314
-
Unstable wavetrains and chaotic wakes in reaction-diffusion systems of λ-ω type
-
doi:10.1016/0167-2789(94)00224-E
-
Sherratt, J. A. 1995 Unstable wavetrains and chaotic wakes in reaction-diffusion systems of λ-ω type. Physica D 82, 165-179. (doi:10.1016/0167-2789(94)00224-E)
-
(1995)
Physica D
, vol.82
, pp. 165-179
-
-
Sherratt, J.A.1
-
31
-
-
4243566991
-
Periodic travelling waves in a family of deterministic cellular automata
-
doi:10.1016/0167-2789(96)00070-X
-
Sherratt, J. A. 1996 Periodic travelling waves in a family of deterministic cellular automata. Physica D 95, 319-335. (doi:10.1016/0167- 2789(96)00070-X)
-
(1996)
Physica D
, vol.95
, pp. 319-335
-
-
Sherratt, J.A.1
-
32
-
-
0035127918
-
Periodic travelling waves in cyclic predator-prey systems
-
DOI 10.1046/j.1461-0248.2001.00193.x
-
Sherratt, J. A. 2001 Periodic travelling waves in cyclic predator-prey systems. Ecol. Lett. 4, 30-37. (doi:10.1046/j.1461-0248.2001.00193.x) (Pubitemid 32145266)
-
(2001)
Ecology Letters
, vol.4
, Issue.1
, pp. 30-37
-
-
Sherratt, J.A.1
-
33
-
-
0242404009
-
Periodic travelling wave selection by Dirichlet boundary conditions in oscillatory reaction-diffusion systems
-
doi:10.1137/S0036139902392483
-
Sherratt, J. A. 2003 Periodic travelling wave selection by Dirichlet boundary conditions in oscillatory reaction-diffusion systems. SIAM J. Appl. Math. 63, 1520-1538. (doi:10.1137/ S0036139902392483)
-
(2003)
SIAM J. Appl. Math.
, vol.63
, pp. 1520-1538
-
-
Sherratt, J.A.1
-
34
-
-
40749098198
-
Periodic travelling waves in cyclic populations: Field studies and reaction-diffusion models
-
DOI 10.1098/rsif.2007.1327, PII A70K224771003178
-
Sherratt, J. A. & Smith, M. J. 2008 Periodic travelling waves in cyclic populations: field studies and reaction-diffusion models. J. R. Soc. Interface 5, 483-505. (doi:10.1098/rsif.2007.1327) (Pubitemid 351380276)
-
(2008)
Journal of the Royal Society Interface
, vol.5
, Issue.22
, pp. 483-505
-
-
Sherratt, J.A.1
Smith, M.J.2
-
35
-
-
53149140283
-
Generation of periodic waves by landscape features in cyclic predator-prey systems
-
DOI 10.1098/rspb.2001.1890
-
Sherratt, J. A., Lambin, X., Thomas, C. J. & Sherratt, T. N. 2002 Generation of periodic waves by landscape features in cyclic predator-prey systems. Proc. R. Soc. Lond. B 269, 327-334. (doi:10.1098/rspb.2001.1890) (Pubitemid 34214549)
-
(2002)
Education Economics
, vol.269
, Issue.1489
, pp. 327-334
-
-
Sherratt, J.A.1
Lambin, X.2
Thomas, C.J.3
Sherratt, T.N.4
-
36
-
-
33645087891
-
Traveling periodic waves in heterogeneous environments
-
doi:10.1016/0040-5809(86)90029-8
-
Shigesada, N., Kawasaki, K. & Teramoto, E. 1986 Traveling periodic waves in heterogeneous environments. Theor. Popul. Biol. 30, 143-160. (doi:10.1016/0040-5809(86)90029-8)
-
(1986)
Theor. Popul. Biol.
, vol.30
, pp. 143-160
-
-
Shigesada, N.1
Kawasaki, K.2
Teramoto, E.3
-
37
-
-
34548666589
-
Constructive effects of environmental noise in an excitable prey-predator plankton system with infected prey
-
DOI 10.1016/j.ecocom.2007.06.005, PII S1476945X07000694
-
Sieber, M., Malchow, H. & Schimansky-Geier, L. 2007 Constructive effects of environmental noise 1in an excitable prey-predator plankton system with infected prey. Ecol. Complex. 4, 223-233. (doi:10.1016/j.ecocom.2007.06. 005) (Pubitemid 47419443)
-
(2007)
Ecological Complexity
, vol.4
, Issue.4
, pp. 223-233
-
-
Sieber, M.1
Malchow, H.2
Schimansky-Geier, L.3
-
38
-
-
0022202395
-
A comparison of terrestrial and marine ecological systems
-
doi:10.1038/313355a0
-
Steele, J. H. 1985 A comparison of terrestrial and marine ecological systems. Nature 313, 355-358. (doi:10.1038/313355a0)
-
(1985)
Nature
, vol.313
, pp. 355-358
-
-
Steele, J.H.1
-
39
-
-
33846949385
-
Waves and synchrony in
-
outbreaks. I. Lagged synchrony: regionally, locally and among species. J. Anim. Ecol. (doi:10.1111/j.1365-2656.2006.01204.x)
-
Tenow, O., Nilssen, A. C., Bylund, H. & Hogstad, O. 2007 Waves and synchrony in Epirrita autumnata/Operophtera brumata outbreaks. I. Lagged synchrony: regionally, locally and among species. J. Anim. Ecol. 76, 258-268. (doi:10.1111/j.1365-2656.2006.01204.x)
-
(2007)
Epirrita autumnata/Operophtera brumata
, vol.76
, pp. 258-268
-
-
Tenow, O.1
Nilssen, A.C.2
Bylund, H.3
Hogstad, O.4
-
41
-
-
21744459478
-
Implications of spatial heterogeneity for catastrophic regime shifts in ecosystems
-
doi:10.1890/04-0550
-
van Nes, E. H. & Scheffer, M. 2005 Implications of spatial heterogeneity for catastrophic regime shifts in ecosystems. Ecology 86, 1797-1807. (doi:10.1890/04-0550)
-
(2005)
Ecology
, vol.86
, pp. 1797-1807
-
-
Van Nes, E.H.1
Scheffer, M.2
-
42
-
-
8144221244
-
The color of environmental noise
-
doi:10.1890/02-3122
-
Vasseur, D. A. & Yodzis, P. 2004 The color of environmental noise. Ecology 85, 1146-1152. (doi:10.1890/02-3122)
-
(2004)
Ecology
, vol.85
, pp. 1146-1152
-
-
Vasseur, D.A.1
Yodzis, P.2
-
43
-
-
0000659593
-
An introduction to stochastic partial differential equations
-
(eds R. Carmona, H. Kesten & J. B. Walsh). Lecture Notes in Mathematics, Berlin, Germany: Springer
-
Walsh, J. B. 1986 An introduction to stochastic partial differential equations. In École d'été de probabilités de Saint-Flour XIV -1984, vol.1180 (eds R. Carmona, H. Kesten & J. B. Walsh). Lecture Notes in Mathematics, pp. 265-437. Berlin, Germany: Springer.
-
(1986)
École d'été de probabilités de Saint-Flour XIV -1984
, vol.1180
, pp. 265-437
-
-
Walsh, J.B.1
-
44
-
-
0842310300
-
Oscillatory reaction-diffusion equations with temporally varying parameters
-
doi:10.1016/S0895-7177(04)90505-5
-
Webb, S. D. & Sherratt, J. A. 2003 Oscillatory reaction-diffusion equations with temporally varying parameters. Math. Comput. Model. 39, 45-60. (doi:10.1016/S0895-7177(04)90505-5)
-
(2003)
Math. Comput. Model.
, vol.39
, pp. 45-60
-
-
Webb, S.D.1
Sherratt, J.A.2
|