-
2
-
-
33646027041
-
Changes over time in the spatiotemporal dynamics of cyclic populations of field voles Microtus agrestis L.)
-
doi:10.1086/501076
-
Bierman, S. M., Fairbairn, J. P., Petty, S. J., Elston, D. A., Tidhar, D. & Lambin, X. 2006 Changes over time in the spatiotemporal dynamics of cyclic populations of field voles Microtus agrestis L.). Am. Nat. 167, 583-590. (doi:10.1086/501076)
-
(2006)
Am. Nat
, vol.167
, pp. 583-590
-
-
Bierman, S.M.1
Fairbairn, J.P.2
Petty, S.J.3
Elston, D.A.4
Tidhar, D.5
Lambin, X.6
-
3
-
-
0033231663
-
Spatial population dynamics: Analyzing patterns and processes of population synchrony
-
doi:10.1016/S0169-5347(99)01677- 8
-
Bjørnstad, O. N., Ims, R. A. & Lambin, X. 1999 Spatial population dynamics: analyzing patterns and processes of population synchrony. Trends Ecol. Evol. 14, 427-432. (doi:10.1016/S0169-5347(99)01677- 8)
-
(1999)
Trends Ecol. Evol
, vol.14
, pp. 427-432
-
-
Bjørnstad, O.N.1
Ims, R.A.2
Lambin, X.3
-
4
-
-
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)
-
(2002)
Science
, vol.298
, pp. 1020-1023
-
-
Bjørnstad, O.N.1
Peltonen, M.2
Liebhold, A.M.3
Baltensweiler, W.4
-
5
-
-
21144455822
-
A reaction-diffusion system of lambda-omega type - part I: Mathematical analysis
-
doi:10.1017/S0956792504005534
-
Blowey, J. E. & Garvie, M. R. 2005 A reaction-diffusion system of lambda-omega type - part I: mathematical analysis. Eur. J. Appl. Math. 16, 1-19. (doi:10.1017/S0956792504005534)
-
(2005)
Eur. J. Appl. Math
, vol.16
, pp. 1-19
-
-
Blowey, J.E.1
Garvie, M.R.2
-
6
-
-
0034565418
-
On travelling wave solutions of Fisher's equation in two spatial dimensions
-
doi:10.1137/S0036139997325497
-
Bradhnik, P. K. & Tyson, J. J. 1999 On travelling wave solutions of Fisher's equation in two spatial dimensions. SIAM J. Appl. Math. 60, 371-391. (doi:10.1137/S0036139997325497)
-
(1999)
SIAM J. Appl. Math
, vol.60
, pp. 371-391
-
-
Bradhnik, P.K.1
Tyson, J.J.2
-
8
-
-
0004603310
-
Stable small amplitude solutions in reaction-diffusion systems
-
Ermentrout, G. B. 1981 Stable small amplitude solutions in reaction-diffusion systems. Q. Appl. Math. 39, 61-86.
-
(1981)
Q. Appl. Math
, vol.39
, pp. 61-86
-
-
Ermentrout, G.B.1
-
9
-
-
0001505194
-
Transition fronts and localized structures in bistable reaction-diffusion equations
-
doi:10.1016/S0167-2789(97)82011-8
-
Ermentrout, G. B., Chen, X. & Chen, Z. 1997 Transition fronts and localized structures in bistable reaction-diffusion equations. Physica D 108, 147-167. (doi:10.1016/S0167-2789(97)82011-8)
-
(1997)
Physica D
, vol.108
, pp. 147-167
-
-
Ermentrout, G.B.1
Chen, X.2
Chen, Z.3
-
10
-
-
33947514402
-
-
Garvie, M. R. 2007 Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Bull. Math. Biol. 69, 931-956. (doi:10.1007/s11538-006-9062-3)
-
Garvie, M. R. 2007 Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB. Bull. Math. Biol. 69, 931-956. (doi:10.1007/s11538-006-9062-3)
-
-
-
-
11
-
-
0003498504
-
-
6th edn. San Diego, CA: Academic Press
-
Gradshteyn, I. S. & Ryzhik, I. M. 2000 Tables of integrals, series, and products, 6th edn. San Diego, CA: Academic Press.
-
(2000)
Tables of integrals, series, and products
-
-
Gradshteyn, I.S.1
Ryzhik, I.M.2
-
12
-
-
0031662774
-
Circles and spirals: Population persistence in a spatially explicit predator-prey model
-
doi:10.2307/176840
-
Gurney, W. S. C., Veitch, A. R., Cruickshank, I. & McGeachin, G. 1998 Circles and spirals: population persistence in a spatially explicit predator-prey model. Ecology 79, 2516-2530. (doi:10.2307/176840)
-
(1998)
Ecology
, vol.79
, pp. 2516-2530
-
-
Gurney, W.S.C.1
Veitch, A.R.2
Cruickshank, I.3
McGeachin, G.4
-
13
-
-
0026010716
-
Specialist predators, generalist predators, and the microtine rodent cycle
-
doi:10.2307/5465
-
Hanski, I., Hansson, L. & Henttonen, H. 1991 Specialist predators, generalist predators, and the microtine rodent cycle. J. Anim. Ecol. 60, 353-367. (doi:10.2307/5465)
-
(1991)
J. Anim. Ecol
, vol.60
, pp. 353-367
-
-
Hanski, I.1
Hansson, L.2
Henttonen, H.3
-
14
-
-
5344240395
-
Landscape geometry and travelling waves in the larch budmoth
-
doi:10.1111/j.1461-0248.2004.00659.x
-
Johnson, D. M., Bjørnstad, O. N. & Liebhold, A. M. 2004 Landscape geometry and travelling waves in the larch budmoth. Ecol. Lett. 7, 967-974. (doi:10.1111/j.1461-0248.2004.00659.x)
-
(2004)
Ecol. Lett
, vol.7
, pp. 967-974
-
-
Johnson, D.M.1
Bjørnstad, O.N.2
Liebhold, A.M.3
-
15
-
-
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
-
16
-
-
0032558265
-
Spatial asynchrony and PTWs in cyclic populations of field voles
-
doi:10.1098/rspb.1998.0462
-
Lambin, X., Elston, D. A., Petty, S. J. & MacKinnon, J. L. 1998 Spatial asynchrony and PTWs in cyclic populations of field voles. Proc. R. Soc. B 265, 1491-1496. (doi:10.1098/rspb.1998.0462)
-
(1998)
Proc. R. Soc. B
, vol.265
, pp. 1491-1496
-
-
Lambin, X.1
Elston, D.A.2
Petty, S.J.3
MacKinnon, J.L.4
-
17
-
-
11244329396
-
Spatial synchrony in population dynamics
-
doi:10.1146/annurev.ecolsys.34.011802.132516
-
Liebhold, A., Koenig, W. D. & Bjørnstad, O. N. 2004 Spatial synchrony in population dynamics. Annu. Rev. Ecol. Evol. Syst. 35, 467-490. (doi:10.1146/annurev.ecolsys.34.011802.132516)
-
(2004)
Annu. Rev. Ecol. Evol. Syst
, vol.35
, pp. 467-490
-
-
Liebhold, A.1
Koenig, W.D.2
Bjørnstad, O.N.3
-
18
-
-
0035076404
-
Scale invariant spatio-temporal patterns of field vole density
-
doi:10.1046/j.1365- 2656.2001.00479.x
-
MacKinnon, J. L., Lambin, X., Elston, D. A., Thomas, C. J., Sherratt, T. N. & Petty, S. J. 2001 Scale invariant spatio-temporal patterns of field vole density. J. Anim. Ecol. 70, 101-111. (doi:10.1046/j.1365- 2656.2001.00479.x)
-
(2001)
J. Anim. Ecol
, vol.70
, pp. 101-111
-
-
MacKinnon, J.L.1
Lambin, X.2
Elston, D.A.3
Thomas, C.J.4
Sherratt, T.N.5
Petty, S.J.6
-
19
-
-
0036733930
-
Spatiotemporal complexity of plankton and fish dynamics
-
doi:10.1137/S0036144502404442
-
Medvinsky, A. B., Petrovskii, S. V., Tikhonova, I. A., Malchow, H. & Li, B.-L. 2002 Spatiotemporal complexity of plankton and fish dynamics. SIAM Rev. 44, 311-370. (doi:10.1137/S0036144502404442)
-
(2002)
SIAM Rev
, vol.44
, pp. 311-370
-
-
Medvinsky, A.B.1
Petrovskii, S.V.2
Tikhonova, I.A.3
Malchow, H.4
Li, B.-L.5
-
20
-
-
85020829543
-
-
Monagan, M. B., Geddes, K. O., Heal, K. M., Labahn, H., Vorkoetter, S. M., McCarron, J. & DeMarco, P. 2007 MAPLE introductory programming guide. Maplesoft, Walterloo. See also www.maplesoft.com.
-
Monagan, M. B., Geddes, K. O., Heal, K. M., Labahn, H., Vorkoetter, S. M., McCarron, J. & DeMarco, P. 2007 MAPLE introductory programming guide. Maplesoft, Walterloo. See also www.maplesoft.com.
-
-
-
-
21
-
-
28444465570
-
Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect
-
doi:10.1016/j.jtbi.2005.05.021
-
Morozov, A., Petrovskii, S. & Li, B. L. 2006 Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect. J. Theor. Biol. 238, 18-35. (doi:10.1016/j.jtbi.2005.05.021)
-
(2006)
J. Theor. Biol
, vol.238
, pp. 18-35
-
-
Morozov, A.1
Petrovskii, S.2
Li, B.L.3
-
22
-
-
0033924233
-
Spatial asynchrony and demographic travelling waves during red grouse population cycles
-
doi:10.2307/177172
-
Moss, R., Elston, D. A. & Watson, A. 2000 Spatial asynchrony and demographic travelling waves during red grouse population cycles. Ecology 81, 981-989. (doi:10.2307/177172)
-
(2000)
Ecology
, vol.81
, pp. 981-989
-
-
Moss, R.1
Elston, D.A.2
Watson, A.3
-
24
-
-
33746085172
-
Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: Heterogeneous patterns and ecological implications
-
Pearce, I. G., Chaplain, M. A. J., Schofield, P. G., Anderson, A. R. A. & Hubbard, S. F. 2006 Modelling the spatio-temporal dynamics of multi-species host-parasitoid interactions: heterogeneous patterns and ecological implications. J. Theor. Biol. 241, 876-886.
-
(2006)
J. Theor. Biol
, vol.241
, pp. 876-886
-
-
Pearce, I.G.1
Chaplain, M.A.J.2
Schofield, P.G.3
Anderson, A.R.A.4
Hubbard, S.F.5
-
26
-
-
34248583204
-
Computing absolute and essential spectra using continuation
-
doi:10.1016/j.physd.2007.03.016
-
Rademacher, J. D. M., Sandstede, B. & Scheel, A. 2007 Computing absolute and essential spectra using continuation. Physica D 229, 166-183. (doi:10.1016/j.physd.2007.03.016)
-
(2007)
Physica D
, vol.229
, pp. 166-183
-
-
Rademacher, J.D.M.1
Sandstede, B.2
Scheel, A.3
-
27
-
-
0031437943
-
Travelling waves in vole population dynamics
-
doi:10.1038/37261
-
Ranta, E. & Kaitala, V. 1997 Travelling waves in vole population dynamics. Nature 390, 456. (doi:10.1038/37261)
-
(1997)
Nature
, vol.390
, pp. 456
-
-
Ranta, E.1
Kaitala, V.2
-
28
-
-
0034541090
-
Symmetries, periodic plane waves and blow-up of lambda-omega systems
-
doi:10.1016/S0167-2789(00)00161-5
-
Romero, J. L., Gandarias, M. L. & Medina, E. 2000 Symmetries, periodic plane waves and blow-up of lambda-omega systems. Physica D 147, 259-272. (doi:10.1016/S0167-2789(00)00161-5)
-
(2000)
Physica D
, vol.147
, pp. 259-272
-
-
Romero, J.L.1
Gandarias, M.L.2
Medina, E.3
-
29
-
-
0000334408
-
Fast reaction, slow diffusion, and curve shortening
-
doi:10.1137/0149007
-
Rubinstein, J., Sternberg, P. & Keller, J. B. 1989 Fast reaction, slow diffusion, and curve shortening. SIAM J. Appl. Math. 49, 116-133. (doi:10.1137/0149007)
-
(1989)
SIAM J. Appl. Math
, vol.49
, pp. 116-133
-
-
Rubinstein, J.1
Sternberg, P.2
Keller, J.B.3
-
30
-
-
67649363651
-
Stability of travelling waves
-
ed. B. Fiedler, pp, Amsterdam, The Netherlands: North-Holland
-
Sandstede, B. 2002 Stability of travelling waves. In Handbook of dynamical systems II (ed. B. Fiedler), pp. 983-1055. Amsterdam, The Netherlands: North-Holland.
-
(2002)
Handbook of dynamical systems II
, pp. 983-1055
-
-
Sandstede, B.1
-
31
-
-
0346686985
-
Absolute and convective instabilities of waves on unbounded and large bounded domains
-
doi:10.1016/S0167-2789(00)00114-7
-
Sandstede, B. & Scheel, A. 2000 Absolute and convective instabilities of waves on unbounded and large bounded domains. Physica D 147, 233-277. (doi:10.1016/S0167-2789(00)00114-7)
-
(2000)
Physica D
, vol.147
, pp. 233-277
-
-
Sandstede, B.1
Scheel, A.2
-
32
-
-
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
-
-
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. B 269, 327-334. (doi:10.1098/rspb.2001. 1890)
-
(2002)
Proc. R. Soc. B
, vol.269
, pp. 327-334
-
-
Sherratt, J.A.1
Lambin, X.2
Thomas, C.J.3
Sherratt, T.N.4
-
35
-
-
0242540378
-
The effects of the size and shape of landscape features on the formation of traveling waves in cyclic populations
-
doi:10.1086/377186
-
Sherratt, J. A., Lambin, X. & Sherratt, T. N. 2003 The effects of the size and shape of landscape features on the formation of traveling waves in cyclic populations. Am. Nat. 162, 503-513. (doi:10.1086/377186)
-
(2003)
Am. Nat
, vol.162
, pp. 503-513
-
-
Sherratt, J.A.1
Lambin, X.2
Sherratt, T.N.3
|