-
3
-
-
42149156928
-
Applications of centre manifold theory
-
Carr, J. 1981 Applications of centre manifold theory. New York: Springer.
-
(1981)
New York: Springer.
-
-
Carr, J.1
-
4
-
-
0019949250
-
Critical manifolds, travelling waves and an example from population genetics
-
Conley, C. & Fife, P. 1982 Critical manifolds, travelling waves and an example from population genetics. J. Math. Biol. 14, 159-176.
-
(1982)
J. Math. Biol.
, vol.14
, pp. 159-176
-
-
Conley, C.1
Fife, P.2
-
5
-
-
0000329668
-
An application of the generalized Morse index to travelling wave solutions of a competitive reaction diffusion model
-
Conley, C. & Gardner, R. 1989 An application of the generalized Morse index to travelling wave solutions of a competitive reaction diffusion model. Indiana Univ. Math. Jl 33, 319-343.
-
(1989)
Indiana Univ. Math. Jl
, vol.33
, pp. 319-343
-
-
Conley, C.1
Gardner, R.2
-
6
-
-
0030480727
-
Contextdependent macroscopic patterns in growing and interacting mycelial networks
-
Davidson, F. A., Sleeman, B. D., Rayner, A. D. M., Crawford, J. W. & Ritz, K. 1996 Contextdependent macroscopic patterns in growing and interacting mycelial networks. Proc. R. Soc. Lond. B 263, 873-880.
-
(1996)
Proc. R. Soc. Lond. B
, vol.263
, pp. 873-880
-
-
Davidson, F.A.1
Sleeman, B.D.2
Rayner, A.D.M.3
Crawford, J.W.4
Ritz, K.5
-
7
-
-
0000801479
-
Travelling waves and pattern formation in a model for fungal development
-
Davidson, F. A., Sleeman, B. D., Rayner, A. D. M., Crawford, J. W. & Ritz, K. 1997 Travelling waves and pattern formation in a model for fungal development. J. Math. Biol. 35, 589-608.
-
(1997)
J. Math. Biol.
, vol.35
, pp. 589-608
-
-
Davidson, F.A.1
Sleeman, B.D.2
Rayner, A.D.M.3
Crawford, J.W.4
Ritz, K.5
-
8
-
-
0003299218
-
Mathematical aspects of reacting and diffusing systems
-
Fife, P. C. 1979 Mathematical aspects of reacting and diffusing systems. In Lecture notes in biomathematics, vol. 28. New York: Springer.
-
(1979)
In Lecture Notes in Biomathematics
, vol.28
-
-
Fife, P.C.1
-
9
-
-
0017637590
-
The approach of solutions of nonlinear diffusion equations to travelling front solutions
-
Fife, P. C. &: McLeod, J. B. 1977 The approach of solutions of nonlinear diffusion equations to travelling front solutions. Arch. Ration. Mech. Analysis 65, 335-361.
-
(1977)
Arch. Ration. Mech. Analysis
, vol.65
, pp. 335-361
-
-
Fife, P.C.1
McLeod, J.B.2
-
10
-
-
0000268135
-
The wave of advance of advantageous genes
-
Fisher, R. A. 1937 The wave of advance of advantageous genes. Ann. Eugen. 7, 335-369.
-
(1937)
Ann. Eugen.
, vol.7
, pp. 335-369
-
-
Fisher, R.A.1
-
11
-
-
84966244631
-
Stability of travelling wave solution of diffusive predator-prey systems
-
Gardener, R. & Jones, C. 1991 Stability of travelling wave solution of diffusive predator-prey systems. Trans. Am. Math. Soc. 327, 465-524.
-
(1991)
Trans. Am. Math. Soc.
, vol.327
, pp. 465-524
-
-
Gardener, R.1
Jones, C.2
-
13
-
-
33746392736
-
Geometric theory of semilinear parabolic equations
-
Henry, D. 1981 Geometric theory of semilinear parabolic equations. New York: Springer.
-
(1981)
New York: Springer.
-
-
Henry, D.1
-
14
-
-
0010250978
-
Stability in a reaction-diffusion model of mutualism
-
Hutson, V. 1986 Stability in a reaction-diffusion model of mutualism. SIAAI Jl Math. Analysis 17, 58-66.
-
(1986)
SIAAI Jl Math. Analysis
, vol.17
, pp. 58-66
-
-
Hutson, V.1
-
15
-
-
0003862232
-
Perturbation theory for linear operators
-
Kato, T. 1976 Perturbation theory for linear operators. New York: Springer.
-
(1976)
New York: Springer.
-
-
Kato, T.1
-
16
-
-
0002722044
-
Etude de l'équation de la matière et son application àun problèma biologique
-
Kolmogorov, A., Petrovsky, I. & Piscounov, N. 1937 Etude de l'équation de la matière et son application àun problèma biologique. Bull. l'Université Moskau, Série Int. 1, 1-25, §A.
-
(1937)
Bull. L'Université Moskau, Série Int.
, vol.1
, pp. 1-25
-
-
Kolmogorov, A.1
Petrovsky, I.2
Piscounov, N.3
-
17
-
-
84971770489
-
Maximum principles and comparison theorems for semilinear parabolic systems and their applications
-
Lu, G. & Sleeman, B. D. 1993 Maximum principles and comparison theorems for semilinear parabolic systems and their applications. Proc. R. Soc. Edinb. A123, 857-885.
-
(1993)
Proc. R. Soc. Edinb. a
, vol.123
, pp. 857-885
-
-
Lu, G.1
Sleeman, B.D.2
-
18
-
-
0000321384
-
Reaction-diffusion waves in an isothermal chemical system with general orders of autocatalysis and spatial dimension
-
Merkin, J. H. 1993 Reaction-diffusion waves in an isothermal chemical system with general orders of autocatalysis and spatial dimension. Z. Angew. Math. Phys. 44, 707-721.
-
(1993)
Z. Angew. Math. Phys.
, vol.44
, pp. 707-721
-
-
Merkin, J.H.1
-
19
-
-
33744882864
-
The propagation of isothermal reaction diffusion waves in coupled autocatalytic systems
-
Merkin, J. H., Metcalf, M. J., Nccdham, D. J. fe Scott, S. K. 1995 The propagation of isothermal reaction diffusion waves in coupled autocatalytic systems. IMA Jl Appl. Math. 55, 117-133.
-
(1995)
IMA Jl Appl. Math.
, vol.55
, pp. 117-133
-
-
Merkin, J.H.1
Metcalf, M.J.2
Nccdham, D.J.3
Scott, S.K.4
-
20
-
-
0028768563
-
Oscillating wave fronts in isothermal chemical systems with arbitrary powers of autocatalysis
-
Metcalf, M. J., Merkin, J. H. & Scott, S. K. 1994 Oscillating wave fronts in isothermal chemical systems with arbitrary powers of autocatalysis. Proc. R. Soc. Lond. A 447, 155-174.
-
(1994)
Proc. R. Soc. Lond. a
, vol.447
, pp. 155-174
-
-
Metcalf, M.J.1
Merkin, J.H.2
Scott, S.K.3
-
21
-
-
1642380986
-
Travelling waves for mutualist species
-
Mischaikow, K. & Hutson, V. 1993 Travelling waves for mutualist species. SIAM Jl Math. Analysis 24, 987-1008.
-
(1993)
SIAM Jl Math. Analysis
, vol.24
, pp. 987-1008
-
-
Mischaikow, K.1
Hutson, V.2
-
22
-
-
0343909748
-
Travelling waves in predator-prey systems
-
Mischaikow, K. & Reineck, J. 1994 Travelling waves in predator-prey systems. SIAM Jl Math. Analysis 24, 1179-1214.
-
(1994)
SIAM Jl Math. Analysis
, vol.24
, pp. 1179-1214
-
-
Mischaikow, K.1
Reineck, J.2
-
23
-
-
0000927953
-
The effects of geometrical spreading in two and three dimensions on the formation of travelling wavefronts in a simple, isothermal, chemical system
-
Needham, D. J. & Merkin, J. H. 1992 The effects of geometrical spreading in two and three dimensions on the formation of travelling wavefronts in a simple, isothermal, chemical system. Nonlinearity 5, 413-452.
-
(1992)
Nonlinearity
, vol.5
, pp. 413-452
-
-
Needham, D.J.1
Merkin, J.H.2
-
24
-
-
0030086045
-
A reaction-diffusion model for autocatalytic polymerization
-
Needham, D. J., King, A. C. & Merkin, J. H. 1996 A reaction-diffusion model for autocatalytic polymerization. II. The initial value problem. IMA Jl Appl. Math. 56, 65-86.
-
(1996)
II. the Initial Value Problem. IMA Jl Appl. Math.
, vol.56
, pp. 65-86
-
-
Needham, D.J.1
King, A.C.2
Merkin, J.H.3
-
26
-
-
0039685238
-
Weighted norms for the stability of travelling waves
-
Sattinger, D. 1977 Weighted norms for the stability of travelling waves. J. Diff. Eqns 25, 130-144.
-
(1977)
J. Diff. Eqns
, vol.25
, pp. 130-144
-
-
Sattinger, D.1
-
27
-
-
84976115095
-
Comparison principles for strongly coupled reaction-diffusion equations
-
Sleeman, B. D. & Tuma, E. 1987 Comparison principles for strongly coupled reaction-diffusion equations. Proc. R. Soc. Edinb. A106, 209-219.
-
(1987)
Proc. R. Soc. Edinb. a
, vol.106
, pp. 209-219
-
-
Sleeman, B.D.1
Tuma, E.2
-
28
-
-
0001526441
-
The existence of travelling plane waves in a general class of competitiondiffusion systems
-
van Vuuren, J. H. 1995 The existence of travelling plane waves in a general class of competitiondiffusion systems. IMA Jl Appl. Math. 55, 135-148.
-
(1995)
IMA Jl Appl. Math.
, vol.55
, pp. 135-148
-
-
Van Vuuren, J.H.1
-
29
-
-
0001412912
-
Travelling wave solutions of parabolic systems
-
Providence, RI: AMS.
-
Volpert, A. I., Volpert, V. A. & Volpert, V. A. 1994 Travelling wave solutions of parabolic systems. In Translations of mathematical monographs, vol. 140. Providence, RI: AMS.
-
(1994)
In Translations of Mathematical Monographs
, vol.140
-
-
Volpert, A.I.1
Volpert, V.A.2
Volpert, V.A.3
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