-
1
-
-
0036141801
-
Mutual interference between predators can give rise to Turing spatial patterns
-
Alonso D., Bartumeus F., and Catalan J. Mutual interference between predators can give rise to Turing spatial patterns. Ecology 83 (2002) 28-34
-
(2002)
Ecology
, vol.83
, pp. 28-34
-
-
Alonso, D.1
Bartumeus, F.2
Catalan, J.3
-
2
-
-
0035368396
-
Self-organized spatial structures in a ratio-dependent predator-prey model
-
Bartumeus F., Alonso D., and Catalan J. Self-organized spatial structures in a ratio-dependent predator-prey model. Phys. A 295 (2001) 53-57
-
(2001)
Phys. A
, vol.295
, pp. 53-57
-
-
Bartumeus, F.1
Alonso, D.2
Catalan, J.3
-
3
-
-
0037976126
-
Practical persistence in diffusive food chain models
-
Memorial Conference in Differential Equations and Mathematical Biology. Butler G.J. (Ed). Edmonton, AB, 1996
-
Cantrell R.S., and Cosner C. Practical persistence in diffusive food chain models. In: Butler G.J. (Ed). Memorial Conference in Differential Equations and Mathematical Biology. Edmonton, AB, 1996. Natur. Resource Modeling 11 (1998) 21-34
-
(1998)
Natur. Resource Modeling
, vol.11
, pp. 21-34
-
-
Cantrell, R.S.1
Cosner, C.2
-
4
-
-
21344446602
-
Practical persistence in ecological models via comparison methods
-
Cantrell R.S., and Cosner C. Practical persistence in ecological models via comparison methods. Proc. Roy. Soc. Edinburgh Sect. A 126 (1996) 247-272
-
(1996)
Proc. Roy. Soc. Edinburgh Sect. A
, vol.126
, pp. 247-272
-
-
Cantrell, R.S.1
Cosner, C.2
-
5
-
-
1542720931
-
Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model
-
Chen W., and Peng R. Stationary patterns created by cross-diffusion for the competitor-competitor-mutualist model. J. Math. Anal. Appl. 291 (2004) 550-564
-
(2004)
J. Math. Anal. Appl.
, vol.291
, pp. 550-564
-
-
Chen, W.1
Peng, R.2
-
6
-
-
12044252828
-
Pattern formation outside of equilibrium
-
Cross M.C., and Hohenberg P.S. Pattern formation outside of equilibrium. Rev. Modern Phys. 65 (1993) 851-1112
-
(1993)
Rev. Modern Phys.
, vol.65
, pp. 851-1112
-
-
Cross, M.C.1
Hohenberg, P.S.2
-
7
-
-
0036647479
-
Dynamics of Lotka-Volterra competition systems with large interaction
-
Dancer E.N., and Zhang Z.T. Dynamics of Lotka-Volterra competition systems with large interaction. J. Differential Equations 182 (2002) 470-489
-
(2002)
J. Differential Equations
, vol.182
, pp. 470-489
-
-
Dancer, E.N.1
Zhang, Z.T.2
-
8
-
-
0010930219
-
Permanence effect in a three-species food chain model
-
Feng W., and Lu X. Permanence effect in a three-species food chain model. Appl. Anal. 54 3-4 (1994) 195-209
-
(1994)
Appl. Anal.
, vol.54
, Issue.3-4
, pp. 195-209
-
-
Feng, W.1
Lu, X.2
-
9
-
-
84972500158
-
Some coexistence and extinction results for a 3-species ecological system
-
Feng W., and Lu X. Some coexistence and extinction results for a 3-species ecological system. Differential Integral Equations 8 3 (1995) 617-626
-
(1995)
Differential Integral Equations
, vol.8
, Issue.3
, pp. 617-626
-
-
Feng, W.1
Lu, X.2
-
10
-
-
0017407813
-
Mathematical analysis of some three-species food-chain models
-
Freedman H.I., and Waltman P. Mathematical analysis of some three-species food-chain models. Math. Biosci. 33 3-4 (1977) 257-276
-
(1977)
Math. Biosci.
, vol.33
, Issue.3-4
, pp. 257-276
-
-
Freedman, H.I.1
Waltman, P.2
-
12
-
-
0039978016
-
Geometric Theory of Semilinear Parabolic Equations
-
Springer, New York
-
Henry D. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Math. vol. 840 (1993), Springer, New York
-
(1993)
Lecture Notes in Math.
, vol.840
-
-
Henry, D.1
-
13
-
-
38249033418
-
Persistence in reaction-diffusion systems: Interaction of two predators and one prey
-
Hsiao L., and De Mottoni P. Persistence in reaction-diffusion systems: Interaction of two predators and one prey. Nonlinear Anal. 11 (1987) 877-891
-
(1987)
Nonlinear Anal.
, vol.11
, pp. 877-891
-
-
Hsiao, L.1
De Mottoni, P.2
-
14
-
-
0037210844
-
A ratio-dependent food chain model and its applications to biological control
-
Hsu S.B., Hwang T.W., and Kuang Y. A ratio-dependent food chain model and its applications to biological control. Math. Biosci. 181 1 (2003) 55-83
-
(2003)
Math. Biosci.
, vol.181
, Issue.1
, pp. 55-83
-
-
Hsu, S.B.1
Hwang, T.W.2
Kuang, Y.3
-
15
-
-
0000252357
-
Global qualitative analysis of a ratio-dependent predator-prey system
-
Kuang Y., and Beretta E. Global qualitative analysis of a ratio-dependent predator-prey system. J. Math. Biol. 36 4 (1998) 389-406
-
(1998)
J. Math. Biol.
, vol.36
, Issue.4
, pp. 389-406
-
-
Kuang, Y.1
Beretta, E.2
-
16
-
-
0000154564
-
Existence of steady-state solutions for a one-predator two-prey system
-
Lakos N. Existence of steady-state solutions for a one-predator two-prey system. SIAM J. Math. Anal. 21 (1990) 647-659
-
(1990)
SIAM J. Math. Anal.
, vol.21
, pp. 647-659
-
-
Lakos, N.1
-
17
-
-
0000495826
-
A study of 3-species prey-predator reaction-diffusions by monotone schemes
-
Leung A. A study of 3-species prey-predator reaction-diffusions by monotone schemes. J. Math. Anal. Appl. 100 (1984) 583-604
-
(1984)
J. Math. Anal. Appl.
, vol.100
, pp. 583-604
-
-
Leung, A.1
-
18
-
-
0038489770
-
Coexistence in a simple food chain with diffusion
-
López-Gómez J., and Pardo San Gil R. Coexistence in a simple food chain with diffusion. J. Math. Biol. 30 7 (1992) 655-668
-
(1992)
J. Math. Biol.
, vol.30
, Issue.7
, pp. 655-668
-
-
López-Gómez, J.1
Pardo San Gil, R.2
-
19
-
-
0030579038
-
Diffusion, self-diffusion and cross-diffusion
-
Lou Y., and Ni W.M. Diffusion, self-diffusion and cross-diffusion. J. Differential Equations 131 (1996) 79-131
-
(1996)
J. Differential Equations
, vol.131
, pp. 79-131
-
-
Lou, Y.1
Ni, W.M.2
-
20
-
-
0002542873
-
Large amplitude stationary solutions to a chemotaxis system
-
Lin C.S., Ni W.M., and Takagi I. Large amplitude stationary solutions to a chemotaxis system. J. Differential Equations 72 (1988) 1-27
-
(1988)
J. Differential Equations
, vol.72
, pp. 1-27
-
-
Lin, C.S.1
Ni, W.M.2
Takagi, I.3
-
21
-
-
2342652224
-
Stability in a diffusive food-chain model with Michaelis-Menten functional response
-
Lin Z., and Pedersen M. Stability in a diffusive food-chain model with Michaelis-Menten functional response. Nonlinear Anal. 57 (2004) 421-433
-
(2004)
Nonlinear Anal.
, vol.57
, pp. 421-433
-
-
Lin, Z.1
Pedersen, M.2
-
23
-
-
2442652435
-
Strategy and stationary pattern in a three-species predator-prey model
-
Pang P.Y.H., and Wang M.X. Strategy and stationary pattern in a three-species predator-prey model. J. Differential Equations 200 (2004) 245-273
-
(2004)
J. Differential Equations
, vol.200
, pp. 245-273
-
-
Pang, P.Y.H.1
Wang, M.X.2
-
26
-
-
0002011401
-
The chemical basis of morphogenesis
-
Turing A. The chemical basis of morphogenesis. Philos. Trans. R. Soc. Ser. B 237 (1952) 37-72
-
(1952)
Philos. Trans. R. Soc. Ser. B
, vol.237
, pp. 37-72
-
-
Turing, A.1
-
27
-
-
0034376967
-
Qualitative behavior of solutions of chemotactic diffusion systems: Effects of motility and chemotaxis and dynamics
-
Wang X.F. Qualitative behavior of solutions of chemotactic diffusion systems: Effects of motility and chemotaxis and dynamics. SIAM J. Math. Anal. 31 (2000) 535-560
-
(2000)
SIAM J. Math. Anal.
, vol.31
, pp. 535-560
-
-
Wang, X.F.1
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