-
1
-
-
22644451006
-
Traveling waves for a periodic bistable equation and a singular perturbation problem
-
Alikakos N.D., Bates P.W., and Chen X. Traveling waves for a periodic bistable equation and a singular perturbation problem. Trans. Amer. Math. Soc. 351 (1999) 2777-2805
-
(1999)
Trans. Amer. Math. Soc.
, vol.351
, pp. 2777-2805
-
-
Alikakos, N.D.1
Bates, P.W.2
Chen, X.3
-
3
-
-
0344578958
-
Monotone traveling fronts in age-structured reaction-diffusion model of a single species
-
Al-Omari J.F.M., and Gourley S.A. Monotone traveling fronts in age-structured reaction-diffusion model of a single species. J. Math. Biol. 45 (2002) 294-312
-
(2002)
J. Math. Biol.
, vol.45
, pp. 294-312
-
-
Al-Omari, J.F.M.1
Gourley, S.A.2
-
4
-
-
21144440167
-
A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay
-
Al-Omari J.F.M., and Gourley S.A. A nonlocal reaction-diffusion model for a single species with stage structure and distributed maturation delay. European J. Appl. Math. 16 (2005) 37-51
-
(2005)
European J. Appl. Math.
, vol.16
, pp. 37-51
-
-
Al-Omari, J.F.M.1
Gourley, S.A.2
-
5
-
-
34249042398
-
Monotone wave-fronts in a structured population model with distributed maturation delay
-
Al-Omari J.F.M., and Gourley S.A. Monotone wave-fronts in a structured population model with distributed maturation delay. IMA J. Appl. Math. 16 (2005) 1-22
-
(2005)
IMA J. Appl. Math.
, vol.16
, pp. 1-22
-
-
Al-Omari, J.F.M.1
Gourley, S.A.2
-
7
-
-
21244493574
-
The influence of advection on the propagation of fronts in reaction-diffusion equations
-
Nonlinear PDEs in Condensed Matter and Reactive Flows. Berestycki H., and Pomeau Y. (Eds), Kluwer, Dordrecht
-
Berestycki H. The influence of advection on the propagation of fronts in reaction-diffusion equations. In: Berestycki H., and Pomeau Y. (Eds). Nonlinear PDEs in Condensed Matter and Reactive Flows. NATO Sci. Ser. C vol. 569 (2003), Kluwer, Dordrecht
-
(2003)
NATO Sci. Ser. C
, vol.569
-
-
Berestycki, H.1
-
8
-
-
0346040342
-
Dynamics of a strongly nonlocal reaction-diffusion population model
-
Billingham J. Dynamics of a strongly nonlocal reaction-diffusion population model. Nonlinearity 17 (2004) 313-346
-
(2004)
Nonlinearity
, vol.17
, pp. 313-346
-
-
Billingham, J.1
-
9
-
-
0025545718
-
Spatial structures and periodic travelling waves in an integro-differential reaction-diffusion population model
-
Britton N.F. Spatial structures and periodic travelling waves in an integro-differential reaction-diffusion population model. SIAM J. Appl. Math. 50 (1990) 1663-1688
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 1663-1688
-
-
Britton, N.F.1
-
10
-
-
30444442775
-
Reaction-Diffusion Systems: Front Propagation and Spatial Structures
-
pp. 187-210
-
Cencini M., Lopez C., and Vergni D. Reaction-Diffusion Systems: Front Propagation and Spatial Structures. Lecture Notes in Phys. vol. 636 (2003) pp. 187-210
-
(2003)
Lecture Notes in Phys.
, vol.636
-
-
Cencini, M.1
Lopez, C.2
Vergni, D.3
-
11
-
-
3042626066
-
Travelling waves for a neural network
-
Chen F. Travelling waves for a neural network. Electron. J. Differential Equations 2003 (2003) 1-4
-
(2003)
Electron. J. Differential Equations
, vol.2003
, pp. 1-4
-
-
Chen, F.1
-
12
-
-
0001249829
-
Generation and propagation of interfaces in reaction-diffusion equations
-
Chen X. Generation and propagation of interfaces in reaction-diffusion equations. J. Differential Equations 96 (1992) 116-141
-
(1992)
J. Differential Equations
, vol.96
, pp. 116-141
-
-
Chen, X.1
-
13
-
-
0001203924
-
Existence, uniqueness, and asymptotic stability of travelling waves in nonlocal evolution equations
-
Chen X. Existence, uniqueness, and asymptotic stability of travelling waves in nonlocal evolution equations. Adv. Differential Equations 2 (1997) 125-160
-
(1997)
Adv. Differential Equations
, vol.2
, pp. 125-160
-
-
Chen, X.1
-
14
-
-
0037144960
-
Existence and asymptotic stability of travelling waves of discrete quasilinear monostable equations
-
Chen X., and Guo J.S. Existence and asymptotic stability of travelling waves of discrete quasilinear monostable equations. J. Differential Equations 184 (2002) 549-569
-
(2002)
J. Differential Equations
, vol.184
, pp. 549-569
-
-
Chen, X.1
Guo, J.S.2
-
15
-
-
0037792197
-
Uniqueness and existence of travelling waves of discrete quasilinear monostable dynamics
-
Chen X., and Guo J.S. Uniqueness and existence of travelling waves of discrete quasilinear monostable dynamics. Math. Ann. 326 (2003) 123-146
-
(2003)
Math. Ann.
, vol.326
, pp. 123-146
-
-
Chen, X.1
Guo, J.S.2
-
17
-
-
0003227862
-
Abstract Evolution Equations, Periodic Problems and Applications
-
Longman Scientific Technical, Harlow
-
Daners D., and McLeod P.K. Abstract Evolution Equations, Periodic Problems and Applications. Pitman Res. Notes Math. Ser. vol. 279 (1992), Longman Scientific Technical, Harlow
-
(1992)
Pitman Res. Notes Math. Ser.
, vol.279
-
-
Daners, D.1
McLeod, P.K.2
-
18
-
-
84971116294
-
Existence and uniqueness of traveling waves for a neutral network
-
Ermentrout B., and McLeod J.B. Existence and uniqueness of traveling waves for a neutral network. Proc. Roy. Soc. Edinburgh Ser. A 123 (1993) 461-478
-
(1993)
Proc. Roy. Soc. Edinburgh Ser. A
, vol.123
, pp. 461-478
-
-
Ermentrout, B.1
McLeod, J.B.2
-
19
-
-
84990617538
-
Phase transitions and generalized motion by mean curvature
-
Evans L.C., Soner H.M., and Souganidis P.E. Phase transitions and generalized motion by mean curvature. Comm. Pure Appl. Math. 45 (1992) 1097-1123
-
(1992)
Comm. Pure Appl. Math.
, vol.45
, pp. 1097-1123
-
-
Evans, L.C.1
Soner, H.M.2
Souganidis, P.E.3
-
20
-
-
0017637590
-
The approach of solutions of nonlinear diffusion equations to traveling wave solutions
-
Fife P.C., and McLeod J.B. The approach of solutions of nonlinear diffusion equations to traveling wave solutions. Arch. Ration. Mech. Anal. 65 (1977) 355-361
-
(1977)
Arch. Ration. Mech. Anal.
, vol.65
, pp. 355-361
-
-
Fife, P.C.1
McLeod, J.B.2
-
21
-
-
34249025810
-
-
B.H. Gilding, R. Kersner, Travelling Waves in Nonlinear Diffusion-Convection-Reaction, Memorandum n. 1585, University of Twente, 2001
-
-
-
-
22
-
-
0033752098
-
Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays
-
Gourley S.A. Travelling fronts in the diffusive Nicholson's blowflies equation with distributed delays. Math. Comput. Modelling 32 (2000) 843-853
-
(2000)
Math. Comput. Modelling
, vol.32
, pp. 843-853
-
-
Gourley, S.A.1
-
23
-
-
0035500330
-
Wave front solutions of a diffusive delay model for populations of daphnia maga
-
Gourley S.A. Wave front solutions of a diffusive delay model for populations of daphnia maga. Comput. Math. Appl. 42 (2001) 1421-1430
-
(2001)
Comput. Math. Appl.
, vol.42
, pp. 1421-1430
-
-
Gourley, S.A.1
-
24
-
-
1542616886
-
Wavefronts and global stability in a time-delayed population model with stage structure
-
Gourley S.A., and Kuang Y. Wavefronts and global stability in a time-delayed population model with stage structure. Proc. R. Soc. Lond. Ser. A 59 (2003) 1563-1579
-
(2003)
Proc. R. Soc. Lond. Ser. A
, vol.59
, pp. 1563-1579
-
-
Gourley, S.A.1
Kuang, Y.2
-
25
-
-
2442624461
-
Convergence and travelling fronts in functional differential equations with nonlocal terms: A competition model
-
Gourley S.A., and Ruan S. Convergence and travelling fronts in functional differential equations with nonlocal terms: A competition model. SIAM J. Math. Anal. 35 (2003) 806-822
-
(2003)
SIAM J. Math. Anal.
, vol.35
, pp. 806-822
-
-
Gourley, S.A.1
Ruan, S.2
-
26
-
-
33745885794
-
Non-locality of reaction-diffusion equations induced by delay: Biological modeling and nonlinear dynamics
-
Gourley S.A., So J.H.W., and Wu J. Non-locality of reaction-diffusion equations induced by delay: Biological modeling and nonlinear dynamics. J. Math. Sci. 124 (2004) 5119-5153
-
(2004)
J. Math. Sci.
, vol.124
, pp. 5119-5153
-
-
Gourley, S.A.1
So, J.H.W.2
Wu, J.3
-
27
-
-
84867929521
-
Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects
-
Liang D., and Wu J. Travelling waves and numerical approximations in a reaction advection diffusion equation with nonlocal delayed effects. J. Nonlinear Sci. 13 (2003) 289-310
-
(2003)
J. Nonlinear Sci.
, vol.13
, pp. 289-310
-
-
Liang, D.1
Wu, J.2
-
28
-
-
34249015773
-
-
S. Ma, J. Wu, Existence, uniqueness and asymptotic stability of traveling wavefronts in non-local delayed diffusion equation, J. Dynam. Differential Equations, in press
-
-
-
-
29
-
-
24644479145
-
Existence, uniqueness and stability of traveling waves in a discrete reaction-diffusion monostable equation with delay
-
Ma S., and Zou X. Existence, uniqueness and stability of traveling waves in a discrete reaction-diffusion monostable equation with delay. J. Differential Equations 217 (2005) 54-87
-
(2005)
J. Differential Equations
, vol.217
, pp. 54-87
-
-
Ma, S.1
Zou, X.2
-
30
-
-
15444367223
-
Propagation and its failure in a lattice delayed differential equation with global interaction
-
Ma S., and Zou X. Propagation and its failure in a lattice delayed differential equation with global interaction. J. Differential Equations 212 (2005) 129-190
-
(2005)
J. Differential Equations
, vol.212
, pp. 129-190
-
-
Ma, S.1
Zou, X.2
-
31
-
-
0003289006
-
Time Lags in Biological Models
-
Springer, Berlin
-
MacDonald N. Time Lags in Biological Models. Lecture Notes in Biomathematics vol. 27 (1978), Springer, Berlin
-
(1978)
Lecture Notes in Biomathematics
, vol.27
-
-
MacDonald, N.1
-
32
-
-
0036054752
-
Travelling wavefronts in reaction-diffusion equations with convection effects and non-regular terms
-
Malaguti L., and Marcelli C. Travelling wavefronts in reaction-diffusion equations with convection effects and non-regular terms. Math. Nachr. 242 (2002) 148-164
-
(2002)
Math. Nachr.
, vol.242
, pp. 148-164
-
-
Malaguti, L.1
Marcelli, C.2
-
33
-
-
34248998844
-
-
L. Malaguti, C. Marcelli, The influence of convective effects on front propagation in certain diffusive models, in: V. Capasso (Ed.), Mathematical Modelling and Computing in Biology and Medicine, 5th ESMTB Conference, 2002, Esculapio, Bologna, 2003, pp. 362-367
-
-
-
-
34
-
-
34249063674
-
Front propagation in bistable reaction-diffusion-advection equations
-
Malaguti L., Marcelli C., and Matucci S. Front propagation in bistable reaction-diffusion-advection equations. Adv. Differential Equations 9 (2004) 1143-1166
-
(2004)
Adv. Differential Equations
, vol.9
, pp. 1143-1166
-
-
Malaguti, L.1
Marcelli, C.2
Matucci, S.3
-
35
-
-
84966246501
-
Abstract functional differential equations and reaction-diffusion systems
-
Martin R.H., and Smith H.L. Abstract functional differential equations and reaction-diffusion systems. Trans. Amer. Math. Soc. 321 (1990) 1-44
-
(1990)
Trans. Amer. Math. Soc.
, vol.321
, pp. 1-44
-
-
Martin, R.H.1
Smith, H.L.2
-
36
-
-
24344466694
-
Existence and uniqueness of a wavefront in a delayed hyperbolic-parabolic model
-
Ou C., and Wu J. Existence and uniqueness of a wavefront in a delayed hyperbolic-parabolic model. Nonlinear Anal. 63 (2005) 364-387
-
(2005)
Nonlinear Anal.
, vol.63
, pp. 364-387
-
-
Ou, C.1
Wu, J.2
-
37
-
-
10044257560
-
Stability of steady states and existence of traveling waves in a vector disease model
-
Ruan S., and Xiao D. Stability of steady states and existence of traveling waves in a vector disease model. Proc. Roy. Soc. Edinburgh Ser. A 134 (2004) 991-1011
-
(2004)
Proc. Roy. Soc. Edinburgh Ser. A
, vol.134
, pp. 991-1011
-
-
Ruan, S.1
Xiao, D.2
-
38
-
-
0001584326
-
Asymptotic behavior and travelling wave solutions for parabolic functional differential equations
-
Schaaf K.W. Asymptotic behavior and travelling wave solutions for parabolic functional differential equations. Trans. Amer. Math. Soc. 302 (1987) 587-615
-
(1987)
Trans. Amer. Math. Soc.
, vol.302
, pp. 587-615
-
-
Schaaf, K.W.1
-
39
-
-
0033589602
-
Traveling waves in time almost periodic structures governed by bistable nonlinearities. I. Stability and uniqueness
-
Shen W. Traveling waves in time almost periodic structures governed by bistable nonlinearities. I. Stability and uniqueness. J. Differential Equations 159 (1999) 1-54
-
(1999)
J. Differential Equations
, vol.159
, pp. 1-54
-
-
Shen, W.1
-
40
-
-
0033589576
-
Traveling waves in time almost periodic structures governed by bistable nonlinearities. II. Existence
-
Shen W. Traveling waves in time almost periodic structures governed by bistable nonlinearities. II. Existence. J. Differential Equations 159 (1999) 55-101
-
(1999)
J. Differential Equations
, vol.159
, pp. 55-101
-
-
Shen, W.1
-
41
-
-
0001676484
-
Strongly order preserving semiflows generated by functional differential equations
-
Smith H.L., and Thieme H. Strongly order preserving semiflows generated by functional differential equations. J. Differential Equations 93 (1991) 332-363
-
(1991)
J. Differential Equations
, vol.93
, pp. 332-363
-
-
Smith, H.L.1
Thieme, H.2
-
42
-
-
0040807398
-
Global asymptotic stability of travelling waves in delayed reaction-diffusion equations
-
Smith H.L., and Zhao X.Q. Global asymptotic stability of travelling waves in delayed reaction-diffusion equations. SIAM J. Math. Anal. 31 (2000) 514-534
-
(2000)
SIAM J. Math. Anal.
, vol.31
, pp. 514-534
-
-
Smith, H.L.1
Zhao, X.Q.2
-
43
-
-
32044440101
-
A reaction-diffusion model for a single species with age structure. I, Travelling wavefronts on unbounded domains
-
So J.W.H., Wu J., and Zou X. A reaction-diffusion model for a single species with age structure. I, Travelling wavefronts on unbounded domains. Proc. R. Soc. Lond. Ser. A 457 (2003) 1841-1853
-
(2003)
Proc. R. Soc. Lond. Ser. A
, vol.457
, pp. 1841-1853
-
-
So, J.W.H.1
Wu, J.2
Zou, X.3
-
44
-
-
0001412912
-
Travelling Wave Solutions of Parabolic Systems
-
Amer. Math. Soc., Providence, RI
-
Volpert A.I., Volpert V.A., and Volpert V.A. Travelling Wave Solutions of Parabolic Systems. Transl. Math. Monogr. vol. 140 (1994), Amer. Math. Soc., Providence, RI
-
(1994)
Transl. Math. Monogr.
, vol.140
-
-
Volpert, A.I.1
Volpert, V.A.2
Volpert, V.A.3
-
45
-
-
0038432007
-
Remarques sur la note de M. Régnier et Mlle. Lambin (Étude d'un cas d'antagonisme microbien)
-
Volterra V. Remarques sur la note de M. Régnier et Mlle. Lambin (Étude d'un cas d'antagonisme microbien). C. R. Acad. Sci. 199 (1934) 1684-1686
-
(1934)
C. R. Acad. Sci.
, vol.199
, pp. 1684-1686
-
-
Volterra, V.1
-
46
-
-
32044459052
-
Travelling wave fronts of reaction-diffusion systems with spatio-temporal delays
-
Wang Z.C., Li W.T., and Ruan S. Travelling wave fronts of reaction-diffusion systems with spatio-temporal delays. J. Differential Equations 222 (2006) 185-232
-
(2006)
J. Differential Equations
, vol.222
, pp. 185-232
-
-
Wang, Z.C.1
Li, W.T.2
Ruan, S.3
-
47
-
-
34249031297
-
-
Z.C. Wang, W.T. Li, S. Ruan, Existence, uniqueness and asymptotic stability of travelling wave fronts in nonlocal reaction-diffusion equations with delay, 2005, submitted for publication
-
-
-
-
48
-
-
0010750897
-
Introduction to Neural Dynamics and Signal Transmission Delay
-
de Gruyter, Berlin
-
Wu J. Introduction to Neural Dynamics and Signal Transmission Delay. de Gruyter Ser. Nonlinear Anal. Appl. (2002), de Gruyter, Berlin
-
(2002)
de Gruyter Ser. Nonlinear Anal. Appl.
-
-
Wu, J.1
-
49
-
-
0037106115
-
Delay induced traveling wave fronts in reaction diffusion equations of KPP-Fisher type
-
Zou X. Delay induced traveling wave fronts in reaction diffusion equations of KPP-Fisher type. J. Comput. Appl. Math. 146 (2002) 309-321
-
(2002)
J. Comput. Appl. Math.
, vol.146
, pp. 309-321
-
-
Zou, X.1
|