-
1
-
-
0002488752
-
Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation
-
J. A. Goldstein (Ed.), New York: Springer-Verlag
-
Aronson D.G., Weinberger H.F.: Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation. In: Goldstein, J.A. (eds) Partial Differential Equations and Related Topics, Lecture Notes in Mathematics, vol. 446, pp. 5-49. Springer-Verlag, New York (1975).
-
(1975)
Partial Differential Equations and Related Topics, Lecture Notes in Mathematics, vol. 446
, pp. 5-49
-
-
Aronson, D.G.1
Weinberger, H.F.2
-
2
-
-
22244440170
-
Analysis of the periodically fragmented environment model: I-species persistence
-
Berestycki H., Hamel F., Roques L.: Analysis of the periodically fragmented environment model: I-species persistence. J. Math. Biol. 51, 75-113 (2005).
-
(2005)
J. Math. Biol.
, vol.51
, pp. 75-113
-
-
Berestycki, H.1
Hamel, F.2
Roques, L.3
-
3
-
-
16644386250
-
Analysis of the periodically fragmented environment model: II-biological invasions and pulsating traveliling fronts
-
Berestycki H., Hamel F., Roques L.: Analysis of the periodically fragmented environment model: II-biological invasions and pulsating traveliling fronts. J. Math. Pures Appl. 84, 1101-1146 (2005).
-
(2005)
J. Math. Pures Appl.
, vol.84
, pp. 1101-1146
-
-
Berestycki, H.1
Hamel, F.2
Roques, L.3
-
4
-
-
0018184969
-
Threasholds and traveling waves for the geographical spread of infection
-
Diekmann O.: Threasholds and traveling waves for the geographical spread of infection. J. Math. Biol. 6, 109-130 (1978).
-
(1978)
J. Math. Biol.
, vol.6
, pp. 109-130
-
-
Diekmann, O.1
-
5
-
-
0001944424
-
Run for your life, A note on the asymptotic speed of propagation of an epidemic
-
Diekmann O.: Run for your life, A note on the asymptotic speed of propagation of an epidemic. J. Diff. Eqns. 33, 58-73 (1979).
-
(1979)
J. Diff. Eqns.
, vol.33
, pp. 58-73
-
-
Diekmann, O.1
-
7
-
-
0008835676
-
On the propagation of concentration waves in periodic and random media
-
Gärtner J., Freidlin M.I.: On the propagation of concentration waves in periodic and random media. Sov. Math. Dokl. 20, 1282-1286 (1979).
-
(1979)
Sov. Math. Dokl.
, vol.20
, pp. 1282-1286
-
-
Gärtner, J.1
Freidlin, M.I.2
-
8
-
-
33744731512
-
Front propagation for discrete periodic monostable equations
-
Guo J., Hamel F.: Front propagation for discrete periodic monostable equations. Math. Ann. 335, 489-525 (2006).
-
(2006)
Math. Ann.
, vol.335
, pp. 489-525
-
-
Guo, J.1
Hamel, F.2
-
9
-
-
19944431691
-
The spatial spread of invasions: New developments in theory and evidence
-
Hastings A., Cuddington K., Davies K.F., Dugaw C.J., Elmendorf S., Freestone A., Harrison S., Holland M., Lambrinos J., Malvadkar U., Melbourne B.A., Moore K., Taylor C., Thomson D.: The spatial spread of invasions: new developments in theory and evidence. Ecol. Lett. 8, 91-101 (2005).
-
(2005)
Ecol. Lett.
, vol.8
, pp. 91-101
-
-
Hastings, A.1
Cuddington, K.2
Davies, K.F.3
Dugaw, C.J.4
Elmendorf, S.5
Freestone, A.6
Harrison, S.7
Holland, M.8
Lambrinos, J.9
Malvadkar, U.10
Melbourne, B.A.11
Moore, K.12
Taylor, C.13
Thomson, D.14
-
10
-
-
63849210492
-
Spreading speeds and traveling waves for non-monotone integrodifference equations
-
Hsu S.-B., Zhao X.-Q.: Spreading speeds and traveling waves for non-monotone integrodifference equations. SIAM J. Math. Anal. 40, 776-789 (2008).
-
(2008)
SIAM J. Math. Anal.
, vol.40
, pp. 776-789
-
-
Hsu, S.-B.1
Zhao, X.-Q.2
-
11
-
-
34248182000
-
An integrodifference model for biological invasions in a periodically fragmented environment
-
Kawasaki K., Shigesada N.: An integrodifference model for biological invasions in a periodically fragmented environment. Japan J. Indust. Appl. Math. 24, 3-15 (2007).
-
(2007)
Japan J. Indust. Appl. Math.
, vol.24
, pp. 3-15
-
-
Kawasaki, K.1
Shigesada, N.2
-
12
-
-
0030426365
-
Dispersal data and the spread of invading organisms
-
Kot M., Lewis M.A., van den Driessche P.: Dispersal data and the spread of invading organisms. Ecology 77, 2027-2042 (1996).
-
(1996)
Ecology
, vol.77
, pp. 2027-2042
-
-
Kot, M.1
Lewis, M.A.2
van den Driessche, P.3
-
13
-
-
33747604149
-
Plant-soil feedbacks and invasive spread
-
Levine J.M., Pachepsky E., Kendall B.E., Yelenik S.G., Lambers J.H.R.: Plant-soil feedbacks and invasive spread. Ecol. Lett. 9, 1005-1014 (2006).
-
(2006)
Ecol. Lett.
, vol.9
, pp. 1005-1014
-
-
Levine, J.M.1
Pachepsky, E.2
Kendall, B.E.3
Yelenik, S.G.4
Lambers, J.H.R.5
-
14
-
-
58149300044
-
Existence of traveling waves for integral recursions with non-monotone growth functions
-
Li B., Lewis M.A., Weinberger H.F.: Existence of traveling waves for integral recursions with non-monotone growth functions. J. Math. Biol. 58, 323-338 (2009).
-
(2009)
J. Math. Biol.
, vol.58
, pp. 323-338
-
-
Li, B.1
Lewis, M.A.2
Weinberger, H.F.3
-
15
-
-
33751552431
-
Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
-
(erratum: 61, 137-138 (2008))
-
Liang, X., Zhao, X.-Q.: Asymptotic speeds of spread and traveling waves for monotone semiflows with applications. Comm. Pure Appl. Math. 60, 1-40 (2007). (erratum: 61, 137-138 (2008)).
-
(2007)
Comm. Pure Appl. Math.
, vol.60
, pp. 1-40
-
-
Liang, X.1
Zhao, X.-Q.2
-
17
-
-
33645087891
-
Traveling periodic waves in heterogeneous environments
-
Shigesada N., Kawasaki K., Teramoto E.: Traveling periodic waves in heterogeneous environments. Theor. Popul. Biol. 30, 143-160 (1986).
-
(1986)
Theor. Popul. Biol.
, vol.30
, pp. 143-160
-
-
Shigesada, N.1
Kawasaki, K.2
Teramoto, E.3
-
19
-
-
0008260279
-
Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations
-
Thieme H.R.: Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations. J. Reine Angew. Math. 306, 94-121 (1979).
-
(1979)
J. Reine Angew. Math.
, vol.306
, pp. 94-121
-
-
Thieme, H.R.1
-
20
-
-
0018570848
-
Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
-
Thieme H.R.: Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread. J. Math. Biol. 8, 173-187 (1979).
-
(1979)
J. Math. Biol.
, vol.8
, pp. 173-187
-
-
Thieme, H.R.1
-
21
-
-
0345116416
-
Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models
-
Thieme H.R., Zhao X.-Q.: Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models. J. Diff. Eqns. 195, 430-470 (2003).
-
(2003)
J. Diff. Eqns.
, vol.195
, pp. 430-470
-
-
Thieme, H.R.1
Zhao, X.-Q.2
-
22
-
-
0031031167
-
Integrodifference models for persistence in fragmented habitats
-
van Kirk R.W., Lewis M.A.: Integrodifference models for persistence in fragmented habitats. Bull. Math. Biol. 59, 107-137 (1997).
-
(1997)
Bull. Math. Biol.
, vol.59
, pp. 107-137
-
-
van Kirk, R.W.1
Lewis, M.A.2
-
23
-
-
0001047828
-
Long-time behavior of a class of biological models
-
Weinberger H.F.: Long-time behavior of a class of biological models. SIAM J. Math. Anal. 13, 353-396 (1982).
-
(1982)
SIAM J. Math. Anal.
, vol.13
, pp. 353-396
-
-
Weinberger, H.F.1
-
24
-
-
0348143251
-
On spreading speeds and traveling waves for growth and migration models in a periodic habitat
-
Weinberger H.F.: On spreading speeds and traveling waves for growth and migration models in a periodic habitat. J. Math. Biol. 45, 511-548 (2002).
-
(2002)
J. Math. Biol.
, vol.45
, pp. 511-548
-
-
Weinberger, H.F.1
-
25
-
-
45049084575
-
Spreading speeds of spatially periodic integro-difference models for populations with non-monotone recruitment functions
-
Weinberger H.F., Kawasaki K., Shigesada N.: Spreading speeds of spatially periodic integro-difference models for populations with non-monotone recruitment functions. J. Math. Biol. 57, 387-411 (2008).
-
(2008)
J. Math. Biol.
, vol.57
, pp. 387-411
-
-
Weinberger, H.F.1
Kawasaki, K.2
Shigesada, N.3
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