-
1
-
-
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, 83:28-34.
-
(2002)
Ecology
, vol.83
, pp. 28-34
-
-
Alonso, D.1
Bartumeus, F.2
Catalan, J.3
-
4
-
-
33748291529
-
Diffusion, cross-diffusion and competitive interaction
-
Iida M., Mimura M., Ninomiya H. Diffusion, cross-diffusion and competitive interaction. J Math Biol 2006, 53(4):617-641.
-
(2006)
J Math Biol
, vol.53
, Issue.4
, pp. 617-641
-
-
Iida, M.1
Mimura, M.2
Ninomiya, H.3
-
5
-
-
0027101175
-
The problem of pattern and scale in ecology: the Robert H. MacArthur award lecture
-
Levin S. The problem of pattern and scale in ecology: the Robert H. MacArthur award lecture. Ecology 1992, 73(6):1943-1967.
-
(1992)
Ecology
, vol.73
, Issue.6
, pp. 1943-1967
-
-
Levin, S.1
-
6
-
-
34447283073
-
Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains
-
Madzvamuse A., Maini P. Velocity-induced numerical solutions of reaction-diffusion systems on continuously growing domains. J Comput Phys 2007, 225(1):100-119.
-
(2007)
J Comput Phys
, vol.225
, Issue.1
, pp. 100-119
-
-
Madzvamuse, A.1
Maini, P.2
-
7
-
-
20444460353
-
Turing patterns in a modified Lotka-Volterra model
-
McGehee E., Peacock-López E. Turing patterns in a modified Lotka-Volterra model. Phys Lett A 2005, 342(1-2):90-98.
-
(2005)
Phys Lett A
, vol.342
, Issue.1-2
, pp. 90-98
-
-
McGehee, E.1
Peacock-López, E.2
-
8
-
-
64449084527
-
Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem
-
Morozov A., Petrovskii S. Excitable population dynamics, biological control failure, and spatiotemporal pattern formation in a model ecosystem. Bull Math Biol 2009, 71:863-887.
-
(2009)
Bull Math Biol
, vol.71
, pp. 863-887
-
-
Morozov, A.1
Petrovskii, S.2
-
11
-
-
34347224051
-
Spatiotemporal complexity of a ratio-dependent predator-prey system
-
Wang W., Liu Q., Jin Z. Spatiotemporal complexity of a ratio-dependent predator-prey system. Phys Rev E 2007, 75(5):051913.
-
(2007)
Phys Rev E
, vol.75
, Issue.5
, pp. 051913
-
-
Wang, W.1
Liu, Q.2
Jin, Z.3
-
12
-
-
69949136198
-
Spatiotemporal pattern formation in a diffusive predator-prey system: an analytical approach
-
Dubey B., Kumari N., Upadhyay R.K. Spatiotemporal pattern formation in a diffusive predator-prey system: an analytical approach. J Appl Math Comput 2009, 31(1):413-432.
-
(2009)
J Appl Math Comput
, vol.31
, Issue.1
, pp. 413-432
-
-
Dubey, B.1
Kumari, N.2
Upadhyay, R.K.3
-
13
-
-
78049393068
-
Spatiotemporal dynamics in a spatial plankton system
-
Upadhyay R.K., Wang W., Thakur N.K. Spatiotemporal dynamics in a spatial plankton system. Math Model Nat Phenom 2010, 5(5):1-121.
-
(2010)
Math Model Nat Phenom
, vol.5
, Issue.5
, pp. 1-121
-
-
Upadhyay, R.K.1
Wang, W.2
Thakur, N.K.3
-
14
-
-
0037270589
-
Interspecific influence on mobility and Turing instability
-
Huang Y., Diekmann O. Interspecific influence on mobility and Turing instability. Bull Math Biol 2003, 65(1):143-156.
-
(2003)
Bull Math Biol
, vol.65
, Issue.1
, pp. 143-156
-
-
Huang, Y.1
Diekmann, O.2
-
15
-
-
0002011401
-
The chemical basis of morphogenesis
-
Turing A. The chemical basis of morphogenesis. Phil Trans Royal Soc Lond-B 1952, 237(1):37-72.
-
(1952)
Phil Trans Royal Soc Lond-B
, vol.237
, Issue.1
, pp. 37-72
-
-
Turing, A.1
-
16
-
-
0015442349
-
Dissipative structure: an explanation and an ecological example
-
Segel L., Jackson J. Dissipative structure: an explanation and an ecological example. J Theor Biol 1972, 37(3):545-559.
-
(1972)
J Theor Biol
, vol.37
, Issue.3
, pp. 545-559
-
-
Segel, L.1
Jackson, J.2
-
17
-
-
0015454185
-
A theory of biological pattern formation
-
Gierer A., Meinhardt H. A theory of biological pattern formation. Biol Cybern 1972, 12(1):30-39.
-
(1972)
Biol Cybern
, vol.12
, Issue.1
, pp. 30-39
-
-
Gierer, A.1
Meinhardt, H.2
-
18
-
-
36849153282
-
Hypothesis for origin of planktonic patchiness
-
Levin S., Segel L. Hypothesis for origin of planktonic patchiness. Nature 1976, 259(5545):659.
-
(1976)
Nature
, vol.259
, Issue.5545
, pp. 659
-
-
Levin, S.1
Segel, L.2
-
19
-
-
85196179431
-
-
Spatiotemporal pattern formation of Beddington-DeAngelis-type predator-prey model
-
Wang W, Zhang L, Xue Y, Jin Z. Spatiotemporal pattern formation of Beddington-DeAngelis-type predator-prey model, arxiv:0801.0797.
-
-
-
Wang, W.1
Zhang, L.2
Xue, Y.3
Jin, Z.4
-
20
-
-
15244338871
-
Pursuit-evasion predator-prey waves in two spatial dimensions
-
Biktashev V., Brindley J., Holden A., Tsyganov M. Pursuit-evasion predator-prey waves in two spatial dimensions. Chaos 2004, 14:988.
-
(2004)
Chaos
, vol.14
, pp. 988
-
-
Biktashev, V.1
Brindley, J.2
Holden, A.3
Tsyganov, M.4
-
21
-
-
0001620150
-
Effects of convective and dispersive interactions on the stability of two species
-
Shukla J., Verma S. Effects of convective and dispersive interactions on the stability of two species. Bull Math Biol 1981, 43(5):593-610.
-
(1981)
Bull Math Biol
, vol.43
, Issue.5
, pp. 593-610
-
-
Shukla, J.1
Verma, S.2
-
22
-
-
51249193024
-
Further considerations on the statistical mechanics of biological associations
-
Kerner E. Further considerations on the statistical mechanics of biological associations. Bull Math Biol 1959, 21(2):217-255.
-
(1959)
Bull Math Biol
, vol.21
, Issue.2
, pp. 217-255
-
-
Kerner, E.1
-
24
-
-
0013072927
-
Effect of cross-diffusion on pattern formation-a nonlinear analysis
-
Chattopadhyay J., Tapaswi P. Effect of cross-diffusion on pattern formation-a nonlinear analysis. Acta Appl Math 1997, 48(1):1-12.
-
(1997)
Acta Appl Math
, vol.48
, Issue.1
, pp. 1-12
-
-
Chattopadhyay, J.1
Tapaswi, P.2
-
25
-
-
33645922467
-
Analysis of a parabolic cross-diffusion population model without self-diffusion
-
Chen L., Jüngel A. Analysis of a parabolic cross-diffusion population model without self-diffusion. J Differential Equations 2006, 224(1):39-59.
-
(2006)
J Differential Equations
, vol.224
, Issue.1
, pp. 39-59
-
-
Chen, L.1
Jüngel, A.2
-
26
-
-
0035389383
-
A predator-prey interaction model with self and cross-diffusion
-
Dubey B., Das B., Hussain J. A predator-prey interaction model with self and cross-diffusion. Ecol Model 2001, 141(1-3):67-76.
-
(2001)
Ecol Model
, vol.141
, Issue.1-3
, pp. 67-76
-
-
Dubey, B.1
Das, B.2
Hussain, J.3
-
27
-
-
38949123811
-
On a predator-prey system with cross diffusion representing the tendency of predators in the presence of prey species
-
Ko W., Ryu K. On a predator-prey system with cross diffusion representing the tendency of predators in the presence of prey species. J Math Anal Appl 2008, 341(2):1133-1142.
-
(2008)
J Math Anal Appl
, vol.341
, Issue.2
, pp. 1133-1142
-
-
Ko, W.1
Ryu, K.2
-
28
-
-
51049108980
-
On a predator-prey system with cross-diffusion representing the tendency of prey to keep away from its predators
-
Ko W., Ryu K. On a predator-prey system with cross-diffusion representing the tendency of prey to keep away from its predators. Appl Math Lett 2008, 21(11):1177-1183.
-
(2008)
Appl Math Lett
, vol.21
, Issue.11
, pp. 1177-1183
-
-
Ko, W.1
Ryu, K.2
-
29
-
-
1342286051
-
Multiple coexistence states for a prey-predator system with cross-diffusion
-
Kuto K., Yamada Y. Multiple coexistence states for a prey-predator system with cross-diffusion. J Differential Equations 2004, 197(2):315-348.
-
(2004)
J Differential Equations
, vol.197
, Issue.2
, pp. 315-348
-
-
Kuto, K.1
Yamada, Y.2
-
30
-
-
2442652435
-
Strategy and stationary pattern in a three-species predator-prey model
-
Pang P., Wang M. Strategy and stationary pattern in a three-species predator-prey model. J Differential Equations 2004, 200(2):245-273.
-
(2004)
J Differential Equations
, vol.200
, Issue.2
, pp. 245-273
-
-
Pang, P.1
Wang, M.2
-
31
-
-
12244302242
-
Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion
-
Pao C. Strongly coupled elliptic systems and applications to Lotka-Volterra models with cross-diffusion. Nonlinear Anal 2005, 60(7):1197-1217.
-
(2005)
Nonlinear Anal
, vol.60
, Issue.7
, pp. 1197-1217
-
-
Pao, C.1
-
32
-
-
0030597219
-
Effect of time-varying cross-diffusivity in a two-species Lotka-Volterra competitive system
-
Raychaudhuri S., Sinha D., Chattopadhyay J. Effect of time-varying cross-diffusivity in a two-species Lotka-Volterra competitive system. Ecol Model 1996, 92(1):55-64.
-
(1996)
Ecol Model
, vol.92
, Issue.1
, pp. 55-64
-
-
Raychaudhuri, S.1
Sinha, D.2
Chattopadhyay, J.3
-
33
-
-
62649117721
-
Pattern formation induced by cross-diffusion in a predator-prey system
-
Sun G., Jin Z., Liu Q., Li L. Pattern formation induced by cross-diffusion in a predator-prey system. Chin Phys B 2008, 17(11):3936-3941.
-
(2008)
Chin Phys B
, vol.17
, Issue.11
, pp. 3936-3941
-
-
Sun, G.1
Jin, Z.2
Liu, Q.3
Li, L.4
-
34
-
-
60049087594
-
Cross-diffusion and pattern formation in reaction-diffusion systems
-
Vanag V., Epstein I. Cross-diffusion and pattern formation in reaction-diffusion systems. Phys Chem Chem Phys 2009, 11(6):897-912.
-
(2009)
Phys Chem Chem Phys
, vol.11
, Issue.6
, pp. 897-912
-
-
Vanag, V.1
Epstein, I.2
-
35
-
-
0001100811
-
Discussion: Turing's theory of morphogenesis-its influence on modelling biological pattern and form
-
Murray J. Discussion: Turing's theory of morphogenesis-its influence on modelling biological pattern and form. Bull Math Biol 1990, 52(1):117-152.
-
(1990)
Bull Math Biol
, vol.52
, Issue.1
, pp. 117-152
-
-
Murray, J.1
-
36
-
-
54049103532
-
-
Chapman & Hall/CRC, Boca Raton
-
Malchow H., Petrovskii S., Venturino E. Spatiotemporal patterns in ecology and epidemiology-theory, models, and simulation. Mathematical and computational biology series 2008, Chapman & Hall/CRC, Boca Raton.
-
(2008)
Spatiotemporal patterns in ecology and epidemiology-theory, models, and simulation. Mathematical and computational biology series
-
-
Malchow, H.1
Petrovskii, S.2
Venturino, E.3
-
37
-
-
33847244910
-
Pattern formation in noisy self-replicating spots
-
Munteanu A., Solé R. Pattern formation in noisy self-replicating spots. Int J Bifurcat Chaos 2006, 16(12):3679-3685.
-
(2006)
Int J Bifurcat Chaos
, vol.16
, Issue.12
, pp. 3679-3685
-
-
Munteanu, A.1
Solé, R.2
-
38
-
-
33847055875
-
Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
-
Baurmann M., Gross T., Feudel U. Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations. J Theor Biol 2007, 245(2):220-229.
-
(2007)
J Theor Biol
, vol.245
, Issue.2
, pp. 220-229
-
-
Baurmann, M.1
Gross, T.2
Feudel, U.3
-
39
-
-
34548443143
-
Diversity of vegetation patterns and desertification
-
Von Hardenberg J., Meron E., Shachak M., Zarmi Y. Diversity of vegetation patterns and desertification. Phys Rev Lett 2001, 87:198101.
-
(2001)
Phys Rev Lett
, vol.87
, pp. 198101
-
-
Von Hardenberg, J.1
Meron, E.2
Shachak, M.3
Zarmi, Y.4
-
40
-
-
33748737797
-
Spatial pattern formation in chemical and biological systems
-
Maini P., Painter K., Chau H. Spatial pattern formation in chemical and biological systems. J Chem Soc, Faraday Trans 1997, 93(20):3601-3610.
-
(1997)
J Chem Soc, Faraday Trans
, vol.93
, Issue.20
, pp. 3601-3610
-
-
Maini, P.1
Painter, K.2
Chau, H.3
-
41
-
-
0034255819
-
The nature of predation: prey dependent, ratio dependent or neither?
-
Abrams P., Ginzburg L. The nature of predation: prey dependent, ratio dependent or neither?. TREE 2000, 15(8):337-341.
-
(2000)
TREE
, vol.15
, Issue.8
, pp. 337-341
-
-
Abrams, P.1
Ginzburg, L.2
|