-
1
-
-
0002488752
-
Nonlinear diusion in population genetics, combustion, and nerve pulse propagation, in "Partial Dierential Equations and Related Topics"
-
D. G. Aronson and H. F. Weinberger, Nonlinear diusion in population genetics, combustion, and nerve pulse propagation, in "Partial Dierential Equations and Related Topics" Lecture Notes in Math., 446, Springer, Berlin, (1975), 5-49.
-
(1975)
Lecture Notes in Math.
, vol.446
, pp. 5-49
-
-
Aronson, D.G.1
Weinberger, H.F.2
-
2
-
-
49349119963
-
Multidimensional nonlinear diusions arising in pop- ulation genetics
-
D. G. Aronson and H. F. Weinberger, Multidimensional nonlinear diusions arising in pop- ulation genetics, Adv. Math., 30 (1978), 33-76.
-
(1978)
Adv. Math.
, vol.30
, pp. 33-76
-
-
Aronson, D.G.1
Weinberger, H.F.2
-
3
-
-
68049142229
-
Bistable traveling waves around an obstacle
-
H. Berestycki, F. Hamel and H. Matano, Bistable traveling waves around an obstacle, Comm. Pure Appl. Math., 62 (2009), 729-788.
-
(2009)
Comm. Pure Appl. Math.
, vol.62
, pp. 729-788
-
-
Berestycki, H.1
Hamel, F.2
Matano, H.3
-
4
-
-
58049150839
-
Asymptotic spreading in heterogeneous diusive ex- citable media
-
H. Berestycki, F. Hamel and G. Nadin, Asymptotic spreading in heterogeneous diusive ex- citable media, J. Funct. Anal., 255 (2008), 2146-2189.
-
(2008)
J. Funct. Anal.
, vol.255
, pp. 2146-2189
-
-
Berestycki, H.1
Hamel, F.2
Nadin, G.3
-
5
-
-
16644384785
-
The speed of propagation for KPP type problems. I. Periodic framework
-
H. Berestycki, F. Hamel and N. Nadirashvili, The speed of propagation for KPP type problems. I. Periodic framework, J. Eur. Math. Soc., 7 (2005), 173-213.
-
(2005)
J. Eur. Math. Soc.
, vol.7
, pp. 173-213
-
-
Berestycki, H.1
Hamel, F.2
Nadirashvili, N.3
-
6
-
-
0034353709
-
A free boundary problem arising in a model of wound healing
-
X. F. Chen and A. Friedman, A free boundary problem arising in a model of wound healing, SIAM J. Math. Anal., 32 (2000), 778-800.
-
(2000)
SIAM J. Math. Anal.
, vol.32
, pp. 778-800
-
-
Chen, X.F.1
Friedman, A.2
-
7
-
-
33749561186
-
Order Structure and Topological Methods in Nonlinear Partial Dierential Equations," 1, Maximum Principles and Applications
-
World Scienti c, Singapore
-
Y. Du, "Order Structure and Topological Methods in Nonlinear Partial Dierential Equations," 1, Maximum Principles and Applications, World Scienti c, Singapore, 2006.
-
(2006)
-
-
Du, Y.1
-
8
-
-
79954633426
-
Spreading-vanishing dichotomy in the diusive logistic model with a free boundary, II
-
Y. Du and Z. M. Guo, Spreading-vanishing dichotomy in the diusive logistic model with a free boundary, II , J. Di. Eqns., 250 (2011), 4336-4366.
-
(2011)
J. Di. Eqns.
, vol.250
, pp. 4336-4366
-
-
Du, Y.1
Guo, Z.M.2
-
9
-
-
84861234049
-
The Stefan problem for the Fisher-KPP equation
-
Y. Du and Z. M. Guo, The Stefan problem for the Fisher-KPP equation, J. Di. Eqns., 253 (2012), 996-1035.
-
(2012)
J. Di. Eqns.
, vol.253
, pp. 996-1035
-
-
Du, Y.1
Guo, Z.M.2
-
10
-
-
84877344218
-
A diusive logistic model with a free boundary in time-periodic environment
-
Y. Du, Z. M. Guo and R. Peng, A diusive logistic model with a free boundary in time-periodic environment, preprint, 2011.
-
(2011)
preprint
-
-
Du, Y.1
Guo, Z.M.2
Peng, R.3
-
11
-
-
77953494017
-
Spreading-vanishing dichotomy in the diusive logistic model with a free boundary
-
Y. Du and Z. G. Lin, Spreading-vanishing dichotomy in the diusive logistic model with a free boundary, SIAM J. Math. Anal., 42 (2010), 1305-1333.
-
(2010)
SIAM J. Math. Anal.
, vol.42
, pp. 1305-1333
-
-
Du, Y.1
Lin, Z.G.2
-
12
-
-
84877324503
-
Spreading and vanishing in nonlinear diusion problems with free bound- aries
-
Y. Du and B. Lou, Spreading and vanishing in nonlinear diusion problems with free bound- aries, preprint, 2011.
-
(2011)
preprint
-
-
Du, Y.1
Lou, B.2
-
13
-
-
77954913485
-
Convergence and sharp thresholds for propagation in nonlinear diu- sion problems
-
Y. Du and H. Matano, Convergence and sharp thresholds for propagation in nonlinear diu- sion problems, J. European Math. Soc., 12 (2010), 279-312.
-
(2010)
J. European Math. Soc.
, vol.12
, pp. 279-312
-
-
Du, Y.1
Matano, H.2
-
14
-
-
38449095296
-
Invading parasitoids suer no Allee eect: A manipulative eld experiment
-
X. Fauvergue, J-C. Malausa, L. Giuge and F. Courchamp, Invading parasitoids suer no Allee eect: A manipulative eld experiment, Ecology, 88 (2008), 2392-2403.
-
(2008)
Ecology
, vol.88
, pp. 2392-2403
-
-
Fauvergue, X.1
Malausa, J.-C.2
Giuge, L.3
Courchamp, F.4
-
15
-
-
49849099923
-
The relation of density regulation to habitat specialization, evolution of a speciesrange, and the dynamics of biological invasions
-
I. Filin, R. D. Holt and M. Bar eld, The relation of density regulation to habitat specialization, evolution of a speciesrange, and the dynamics of biological invasions, Am. Nat., 172 (2008), 233-247.
-
(2008)
Am. Nat.
, vol.172
, pp. 233-247
-
-
Filin, I.1
Holt, R.D.2
Bareld, M.3
-
16
-
-
0000268135
-
The wave of advance of advantageous genes
-
R. A. Fisher, The wave of advance of advantageous genes, Ann. Eugenics, 7 (1937), 335-369.
-
(1937)
Ann. Eugenics
, vol.7
, pp. 335-369
-
-
Fisher, R.A.1
-
17
-
-
0016743943
-
Travelling fronts in nonlinear diusion equations
-
K. P. Hadeler and F. Rothe, Travelling fronts in nonlinear diusion equations, J. Math. Biol., 2 (1975), 251-263.
-
(1975)
J. Math. Biol.
, vol.2
, pp. 251-263
-
-
Hadeler, K.P.1
Rothe, F.2
-
18
-
-
0004530578
-
A competition-diusion system approxi- mation to the classical two-phase Stefan problem
-
D. Hilhorst, M. Iida, M. Mimura and H. Ninomiya, A competition-diusion system approxi- mation to the classical two-phase Stefan problem, Japan J. Indust. Appl. Math., 18 (2001), 161-180.
-
(2001)
Japan J. Indust. Appl. Math.
, vol.18
, pp. 161-180
-
-
Hilhorst, D.1
Iida, M.2
Mimura, M.3
Ninomiya, H.4
-
19
-
-
0002722044
-
Etude de l'equation de la diusion avec croissance de la quantite de matiere et son application a un probleme biologique
-
A1 (1937), English transl. in: "Dynamics of Curved Fronts" (ed. P. Pelce), Academic Press, (1988). 105-130
-
A. N. Kolmogorov, I. G. Petrovsky and N. S. Piskunov, Etude de l'equation de la diusion avec croissance de la quantite de matiere et son application a un probleme biologique, Bull. Univ. Moscou Ser. Internat. A1 (1937), 1-26; English transl. in: "Dynamics of Curved Fronts" (ed. P. Pelce), Academic Press, (1988), 105-130.
-
(1937)
Bull. Univ. Moscou Ser. Internat.
, pp. 1-26
-
-
Kolmogorov, A.N.1
Petrovsky, I.G.2
Piskunov, N.S.3
-
20
-
-
67349162618
-
The evidence for Allee eects
-
A. M. Kramer, B. Dennis, A. M. Liebhold and J. M. Drake, The evidence for Allee eects, Popul. Ecol., 51 (2009), 341-354.
-
(2009)
Popul. Ecol.
, vol.51
, pp. 341-354
-
-
Kramer, A.M.1
Dennis, B.2
Liebhold, A.M.3
Drake, J.M.4
-
21
-
-
0027524391
-
Allee dynamics and the spreading of invasive organisms
-
M. A. Lewis and P. Kareiva, Allee dynamics and the spreading of invasive organisms, Theor. Population Bio., 43 (1993), 141-158.
-
(1993)
Theor. Population Bio.
, vol.43
, pp. 141-158
-
-
Lewis, M.A.1
Kareiva, P.2
-
22
-
-
33751552431
-
Asymptotic speeds of spread and traveling waves for monotone semi ows with applications
-
X. Liang and X-Q. Zhao, Asymptotic speeds of spread and traveling waves for monotone semi ows with applications, Comm. Pure Appl. Math., 60 (2007), 1-40.
-
(2007)
Comm. Pure Appl. Math.
, vol.60
, pp. 1-40
-
-
Liang, X.1
Zhao, X.-Q.2
-
23
-
-
34547492347
-
A free boundary problem for a predator-prey model
-
Z. G. Lin, A free boundary problem for a predator-prey model, Nonlinearity, 20 (2007), 1883- 1892.
-
(2007)
Nonlinearity
, vol.20
, pp. 1883-1892
-
-
Lin, Z.G.1
-
25
-
-
0000173727
-
A free boundary problem in ecology, Japan
-
M. Mimura, Y. Yamada and S. Yotsutani, A free boundary problem in ecology, Japan J. Appl. Math., 2 (1985), 151-186.
-
(1985)
J. Appl. Math.
, vol.2
, pp. 151-186
-
-
Mimura, M.1
Yamada, Y.2
Yotsutani, S.3
-
28
-
-
0004016238
-
Biological Invasions: Theory and Practice Oxford Series in Ecology and Evolution
-
Oxford Univ. Press., Oxford, 1997.
-
N. Shigesada and K. Kawasaki, "Biological Invasions: Theory and Practice," Oxford Series in Ecology and Evolution, Oxford Univ. Press., Oxford, 1997.
-
(1997)
-
-
Shigesada, N.1
Kawasaki, K.2
-
29
-
-
0009636209
-
Random dispersal in theoretical populations
-
J. G. Skellam, Random dispersal in theoretical populations, Biometrika, 38 (1951), 196-218.
-
(1951)
Biometrika
, vol.38
, pp. 196-218
-
-
Skellam, J.G.1
-
30
-
-
0348143251
-
On spreading speeds and traveling waves for growth and migration models in a periodic habitat
-
H. F. Weinberger, On spreading speeds and traveling waves for growth and migration models in a periodic habitat, J. Math. Biol., 45 (2002), 511-548.
-
(2002)
J. Math. Biol.
, vol.45
, pp. 511-548
-
-
Weinberger, H.F.1
-
31
-
-
34547299910
-
Anomalous spreading speeds of cooperative recursion systems
-
H. F.Weinberger, M. A. Lewis and B. Li, Anomalous spreading speeds of cooperative recursion systems, J. Math. Biol., 55 (2007), 207-222.
-
(2007)
J. Math. Biol.
, vol.55
, pp. 207-222
-
-
Weinberger, H.F.1
Lewis, M.A.2
Li, B.3
-
32
-
-
0034206088
-
Front propagation in heterogeneous media
-
J. X. Xin, Front propagation in heterogeneous media, SIAM Rev., 42 (2000), 161-230.
-
(2000)
SIAM Rev.
, vol.42
, pp. 161-230
-
-
Xin, J.X.1
|