-
1
-
-
0002488752
-
Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation
-
Aronson D G and Weinberger H F 1975 Nonlinear diffusion in population genetics, combustion, and nerve pulse propagation Partial Differential Equations and Related Topics (Lecture notes in Mathematics vol 446) ed J A Goldstein (Berlin: Springer) pp 5-49
-
(1975)
Partial Differential Equations and Related Topics
, vol.446
, pp. 5-49
-
-
Aronson, D.G.1
Weinberger, H.F.2
-
2
-
-
0034976407
-
Models for transmission of disease with immigration of infectives
-
DOI 10.1016/S0025-5564(01)00057-8, PII S0025556401000578
-
Brauer F and van den Driessche P 2001 Models for translation of disease with immigration of infectives Math. Biosci. 171 143-54 (Pubitemid 32565743)
-
(2001)
Mathematical Biosciences
, vol.171
, Issue.2
, pp. 143-154
-
-
Brauer, F.1
Van Den Driessche, P.2
-
3
-
-
0034770285
-
Dispersal, disease and life-history evolution
-
DOI 10.1016/S0025-5564(01)00065-7, PII S0025556401000657
-
Castillo-Chavez C and Yakubu A A 2001 Dispersal, disease and life-history evolution Math. Biosci. 173 35-53 (Pubitemid 32976807)
-
(2001)
Mathematical Biosciences
, vol.173
, Issue.1
, pp. 35-53
-
-
Castillo-Chavez, C.1
Yakubu, A.-A.2
-
4
-
-
0031823937
-
Why trees migrate so fast: Confronting theory with dispersal biology and the paleorecord
-
DOI 10.1086/286162
-
Clark J S 1998 Why trees migrate so fast: confronting theory with dispersal biology and the paleorecord Am. Naturalist 152 204-24 (Pubitemid 28349040)
-
(1998)
American Naturalist
, vol.152
, Issue.2
, pp. 204-224
-
-
Clark, J.S.1
-
5
-
-
0033209987
-
Interaction of maturation delay and nonlinear birth in population and epidemic models
-
Cooke K, van den Driessche P and Zou X 1999 Interaction of maturation delay and nonlinear birth in population and epidemic models J. Math. Biol. 39 332-52
-
(1999)
J. Math. Biol.
, vol.39
, Issue.4
, pp. 332-352
-
-
Cooke, K.1
Van Den Driessche, P.2
Zou, X.3
-
6
-
-
0018184969
-
Thresholds and travelling waves for the geographical spread of infection
-
Diekmann O 1978 Thresholds and traveling waves for the geographical spread of infection J. Math. Biol. 6 109-30 (Pubitemid 8406817)
-
(1978)
Journal of Mathematical Biology
, vol.6
, Issue.2
, pp. 109-130
-
-
Diekmann, O.1
-
7
-
-
0001944424
-
Run for your life, a note on the asymptotic speed of propagation of an epidemic
-
Diekmann O 1979 Run for your life, a note on the asymptotic speed of propagation of an epidemic J. Diff. Eqns 33 58-73
-
(1979)
J. Diff. Eqns
, vol.33
, Issue.1
, pp. 58-73
-
-
Diekmann, O.1
-
8
-
-
0035131952
-
Front propagation into an unstable state of reaction-transport systems
-
DOI 10.1103/PhysRevLett.86.926
-
Fedotov S 2001 Front propagation into an unstable state of reaction-transport systems Phys. Rev. Lett. 86 926-9 (Pubitemid 32159825)
-
(2001)
Physical Review Letters
, vol.86
, Issue.5
, pp. 926-929
-
-
Fedotov, S.1
-
10
-
-
0030426365
-
Dispersal data and the spread of invading organisms
-
Kot M, Lewis M A and van den Driesche P 1996 Dispersal data and the spread of invading organisms Ecology 77 2027-42
-
(1996)
Ecology
, vol.77
, Issue.7
, pp. 2027-2042
-
-
Kot, M.1
Lewis, M.A.2
Van Den Driesche, P.3
-
11
-
-
38249039995
-
Discrete-time growth-dispersal models
-
Kot M and Schaffer W M 1986 Discrete-time growth-dispersal models Math. Biosci. 80 109-36
-
(1986)
Math. Biosci.
, vol.80
, Issue.1
, pp. 109-136
-
-
Kot, M.1
Schaffer, W.M.2
-
12
-
-
22144496051
-
Spreading speeds as slowest wave speeds for cooperative systems
-
DOI 10.1016/j.mbs.2005.03.008, PII S002555640500060X
-
Li B, Weinberger H F and Lewis M A 2005 Spreading speeds as slowest waves speeds for cooperative systems Math. Biosci. 196 82-98 (Pubitemid 40982026)
-
(2005)
Mathematical Biosciences
, vol.196
, Issue.1
, pp. 82-98
-
-
Li, B.1
Weinberger, H.F.2
Lewis, M.A.3
-
13
-
-
33748781174
-
Spreading speeds and traveling waves for periodic evolution systems
-
DOI 10.1016/j.jde.2006.04.010, PII S002203960600146X
-
Liang X, Yi Y and Zhao X-Q 2006 Spreading speeds and traveling waves for periodic evolution systems J. Diff. Eqns. 231 57-77 (Pubitemid 44405308)
-
(2006)
Journal of Differential Equations
, vol.231
, Issue.1
, pp. 57-77
-
-
Liang, X.1
Yi, Y.2
Zhao, X.-Q.3
-
14
-
-
33751552431
-
Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
-
DOI 10.1002/cpa.20154
-
Liang X and Zhao X-Q 2007 Asymptotic speeds of spread and traveling waves for monotone semiflows with applications Commun. Pure Appl. Math. 60 1-40 (Pubitemid 44832314)
-
(2007)
Communications on Pure and Applied Mathematics
, vol.60
, Issue.1
, pp. 1-40
-
-
Liang, X.1
Zhao, X.-Q.2
-
16
-
-
0038710532
-
Spreading disease: Integro-differential equations old and new
-
DOI 10.1016/S0025-5564(03)00041-5
-
Medlock J and Kot M 2003 Spreading disease: integro-differential equations old and new Math. Biosci. 184 201-22 (Pubitemid 36876938)
-
(2003)
Mathematical Biosciences
, vol.184
, Issue.2
, pp. 201-222
-
-
Medlock, J.1
Kot, M.2
-
17
-
-
41349109505
-
Dispersal probability distributions and the wavefront speed problem
-
Méndez V, Pujol T and Fort J 2002 Dispersal probability distributions and the wavefront speed problem Phys. Rev. E 65 041109
-
(2002)
Phys. Rev.
, vol.65
, Issue.4
, pp. 041109
-
-
Méndez, V.1
Pujol, T.2
Fort, J.3
-
18
-
-
0026360188
-
Dependence of epidemic and population velocities on basic parameters
-
DOI 10.1016/0025-5564(91)90009-8
-
Mollison D 1991 Dependence of epidemic and population velocities on basic parameters Math. Biosci. 107 255-87 (Pubitemid 23396931)
-
(1991)
Mathematical Biosciences
, vol.107
, Issue.2
, pp. 255-287
-
-
Mollison, D.1
-
22
-
-
0038476264
-
Traveling waves in time periodic lattice differential equations
-
Shen W 2003 Traveling waves in time periodic lattice differential equations Nonlinear Anal. 54 319-39
-
(2003)
Nonlinear Anal.
, vol.54
, Issue.2
, pp. 319-339
-
-
Shen, W.1
-
23
-
-
0018570848
-
Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread
-
DOI 10.1007/BF00279720
-
Thieme H R 1979 Density-dependent regulation of spatially distributed populations and their asymptotic speed of spread J. Math. Biol. 8 173-87 (Pubitemid 10189620)
-
(1979)
Journal of Mathematical Biology
, vol.8
, Issue.2
, pp. 173-187
-
-
Thieme, H.R.1
-
24
-
-
0008260279
-
Asymptotic estimates of the solutions of nonlinear integral equations and asymptotic speeds for the spread of populations
-
Thieme H R 1979 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)
J. Reine Angew. Math.
, vol.306
, pp. 94-121
-
-
Thieme, H.R.1
-
25
-
-
0345116416
-
Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models
-
DOI 10.1016/S0022-0396(03)00175-X
-
Thieme H R and Zhao X-Q 2003 Asymptotic speeds of spread and traveling waves for integral equations and delayed reaction-diffusion models J. Diff. Eqns 195 430-70 (Pubitemid 37495885)
-
(2003)
Journal of Differential Equations
, vol.195
, Issue.2
, pp. 430-470
-
-
Thieme, H.R.1
Zhao, X.-Q.2
-
26
-
-
33747178342
-
An epidemic model with population dispersal and infection period
-
DOI 10.1137/050622948
-
Wang W and Zhao X-Q 2006 An epidemic model with population dispersal and infection period SIAM J. Appl. Math. 66 1454-72 (Pubitemid 44231198)
-
(2006)
SIAM Journal on Applied Mathematics
, vol.66
, Issue.4
, pp. 1454-1472
-
-
Wang, W.1
Zhao, X.-Q.2
-
27
-
-
0001047828
-
Long-time behavior of a class of biological models
-
Weinberger H F 1982 Long-time behavior of a class of biological models SIAM, J. Math. Anal. 13 353-96
-
(1982)
SIAM, J. Math. Anal.
, vol.13
, Issue.3
, pp. 353-396
-
-
Weinberger, H.F.1
-
28
-
-
33746591257
-
Spreading speed and traveling waves for a multi-type SIS epidemic model
-
DOI 10.1016/j.jde.2006.01.020, PII S0022039606000428
-
Weng P and Zhao X-Q 2006 Spreading speed and traveling waves for a multi-type SIS epidemic model J. Diff. Eqns 229 270-96 (Pubitemid 44145268)
-
(2006)
Journal of Differential Equations
, vol.229
, Issue.1
, pp. 270-296
-
-
Weng, P.1
Zhao, X.-Q.2
-
29
-
-
0343717093
-
Traveling wave fronts of reaction-diffusion systems with delay
-
Wu J and Zou X 2001 Traveling wave fronts of reaction-diffusion systems with delay J. Dyn. Diff. Eqns 13 651-87
-
(2001)
J. Dyn. Diff. Eqns
, vol.13
, Issue.3
, pp. 651-687
-
-
Wu, J.1
Zou, X.2
-
31
-
-
36348963102
-
Asymptotic behavior of a reaction-diffusion model with a quiescent stage
-
Zhang F and Zhao X-Q 2007 Asymptotic behavior of a reaction-diffusion model with a quiescent stage Proc. R. Soc. A 463 1029-43
-
(2007)
Proc. R. Soc.
, vol.463
, Issue.2080
, pp. 1029-1043
-
-
Zhang, F.1
Zhao, X.-Q.2
|