-
1
-
-
0002339937
-
Persistence and extinction in Lotka-Volterra reaction diffusion equations
-
Allen L.J.S. Persistence and extinction in Lotka-Volterra reaction diffusion equations Math. Biosci 65 1983 1-12
-
(1983)
Math. Biosci
, vol.65
, pp. 1-12
-
-
Allen, L.J.S.1
-
2
-
-
0023135850
-
Persistence, extinction, and critical patch number for island populations
-
Allen L.J.S. Persistence, extinction, and critical patch number for island populations J. Math. Biol 24 1987 617-625
-
(1987)
J. Math. Biol
, vol.24
, pp. 617-625
-
-
Allen, L.J.S.1
-
3
-
-
38249035528
-
Global stability and periodic orbits for two patch predator-prey diffusion-delay models
-
Beretta E. Solimano F. Takeuchi Y. Global stability and periodic orbits for two patch predator-prey diffusion-delay models Math. Biosci. 85 1987 153-183
-
(1987)
Math. Biosci.
, vol.85
, pp. 153-183
-
-
Beretta, E.1
Solimano, F.2
Takeuchi, Y.3
-
4
-
-
0023083590
-
Global stability of single-species diffusion Volterra models with continuous time delays
-
Beretta E. Takeuchi Y. Global stability of single-species diffusion Volterra models with continuous time delays Bull. Math. Biol 49 1987 431-448
-
(1987)
Bull. Math. Biol
, vol.49
, pp. 431-448
-
-
Beretta, E.1
Takeuchi, Y.2
-
5
-
-
0000839494
-
Global asymptotic stability of Lotka-Volterra Diffusion models with continuous time delays
-
Beretta E. Takeuchi Y. Global asymptotic stability of Lotka-Volterra Diffusion models with continuous time delays SIAM J. Appl. Math 48 1988 627-651
-
(1988)
SIAM J. Appl. Math
, vol.48
, pp. 627-651
-
-
Beretta, E.1
Takeuchi, Y.2
-
6
-
-
0030589781
-
Convergence results in a well-known delayed predator-prey system
-
Beretta E. Kuang Y. Convergence results in a well-known delayed predator-prey system J. Math. Anal. Appl. 204 1996 840-853
-
(1996)
J. Math. Anal. Appl.
, vol.204
, pp. 840-853
-
-
Beretta, E.1
Kuang, Y.2
-
7
-
-
0004134669
-
Integro-differential Equations and Delay Models in Population Dynamics
-
Heidelberg: Springer
-
Cushing J.M. Integro-differential Equations and Delay Models in Population Dynamics 1977 Springer Heidelberg
-
(1977)
-
-
Cushing, J.M.1
-
8
-
-
0000657160
-
Single species migration in two habitats: Persistence and extinction
-
Freedman H.I. Single species migration in two habitats: persistence and extinction Math. Model. 8 1987 778-780
-
(1987)
Math. Model.
, vol.8
, pp. 778-780
-
-
Freedman, H.I.1
-
9
-
-
0000262789
-
Global stability and predator dynamics in a model of prey dispersal in a patchy environment
-
Freedman H.I. Takeuchi Y. Global stability and predator dynamics in a model of prey dispersal in a patchy environment Nonlinear Anal. TMA 13 1989 993-1002
-
(1989)
Nonlinear Anal. TMA
, vol.13
, pp. 993-1002
-
-
Freedman, H.I.1
Takeuchi, Y.2
-
10
-
-
84963388063
-
Predator survival versus extinction as a function of dispersal in a predator-prey model with patchy environment
-
Freedman H.I. Takeuchi Y. Predator survival versus extinction as a function of dispersal in a predator-prey model with patchy environment Appl. Anal. 31 1989 247-266
-
(1989)
Appl. Anal.
, vol.31
, pp. 247-266
-
-
Freedman, H.I.1
Takeuchi, Y.2
-
11
-
-
0001363099
-
Mathematical models of population interaction with dispersal: I. Stability of two habitats with and without a predator
-
Freedman H.I. Waltman P. Mathematical models of population interaction with dispersal: I. Stability of two habitats with and without a predator SIAM Appl. Math. 32 1977 631-648
-
(1977)
SIAM Appl. Math.
, vol.32
, pp. 631-648
-
-
Freedman, H.I.1
Waltman, P.2
-
12
-
-
38249043753
-
Mathematical models of population interaction with dispersal: Differential survival in a change of habitat
-
Freedman H.I. Rai B. Waltman P. Mathematical models of population interaction with dispersal: Differential survival in a change of habitat J. Math. Anal. Appl. 115 1986 140-154
-
(1986)
J. Math. Anal. Appl.
, vol.115
, pp. 140-154
-
-
Freedman, H.I.1
Rai, B.2
Waltman, P.3
-
13
-
-
0004034656
-
Coincidence Degree and Nonlinear Differential Equations
-
Berlin: Springer
-
Gaines R.E. Mawhin J.L. Coincidence Degree and Nonlinear Differential Equations 1977 Springer Berlin
-
(1977)
-
-
Gaines, R.E.1
Mawhin, J.L.2
-
14
-
-
0000429668
-
Harmless delay in model systems
-
Gopalsamy K. Harmless delay in model systems Bull. Math. Biol. 45 1983 295-309
-
(1983)
Bull. Math. Biol.
, vol.45
, pp. 295-309
-
-
Gopalsamy, K.1
-
15
-
-
0005686511
-
Delayed responses and stability in two-species systems
-
Gopalsamy K. Delayed responses and stability in two-species systems J. Austral Math. Soc. Ser. B 25 1984 473-500
-
(1984)
J. Austral Math. Soc. Ser. B
, vol.25
, pp. 473-500
-
-
Gopalsamy, K.1
-
16
-
-
0003400854
-
Stability and Oscillations in Delay Differential Equations of Population Dynamics
-
Dordrecht/Norwell, MA: Kluwer Academic
-
Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics 1992 Kluwer Academic Dordrecht/Norwell, MA
-
(1992)
-
-
Gopalsamy, K.1
-
17
-
-
0003492060
-
Theory of Functional Differential Equations
-
Heidelberg: Springer
-
Hale J. Theory of Functional Differential Equations 1977 Springer Heidelberg
-
(1977)
-
-
Hale, J.1
-
18
-
-
0021742869
-
Delays in recruitment at different trophic levels: Effects on stability
-
Hastings A. Delays in recruitment at different trophic levels: effects on stability J. Math. Biol. 21 1984 35-44
-
(1984)
J. Math. Biol.
, vol.21
, pp. 35-44
-
-
Hastings, A.1
-
19
-
-
0042728840
-
Dynamics of a single species in a spatially varying environment: The stabilizing role of high dispersal rates
-
Hastings A. Dynamics of a single species in a spatially varying environment: the stabilizing role of high dispersal rates J. Math. Biol. 28 1985 181-208
-
(1985)
J. Math. Biol.
, vol.28
, pp. 181-208
-
-
Hastings, A.1
-
21
-
-
0028359362
-
Predator-prey dynamics in models of prey dispersal in two-patch environments
-
Kuang Y. Takeuchi Y. Predator-prey dynamics in models of prey dispersal in two-patch environments Math. Biosci. 120 1994 77-98
-
(1994)
Math. Biosci.
, vol.120
, pp. 77-98
-
-
Kuang, Y.1
Takeuchi, Y.2
-
22
-
-
0000793907
-
Dispersion and population interactions
-
Levin S.A. Dispersion and population interactions Amer. Nat. 108 1974 207-228
-
(1974)
Amer. Nat.
, vol.108
, pp. 207-228
-
-
Levin, S.A.1
-
23
-
-
36849153282
-
Hypothesis to explain the origin of planktonic patchness
-
Levin S.A. Segel L.A. Hypothesis to explain the origin of planktonic patchness Nature 259 1976-659
-
(1976)
Nature
, vol.259
, pp. 659
-
-
Levin, S.A.1
Segel, L.A.2
-
24
-
-
0002246746
-
Global asymptotic behavior in single-species discrete diffusion systems
-
Lu Z. Takeuchi Y. Global asymptotic behavior in single-species discrete diffusion systems J. Math. Biol. 32 1993 67-77
-
(1993)
J. Math. Biol.
, vol.32
, pp. 67-77
-
-
Lu, Z.1
Takeuchi, Y.2
-
26
-
-
0001249569
-
Time delay versus stability in population models with two and three trophic levels
-
May R.M. Time delay versus stability in population models with two and three trophic levels Ecology 4 1973 315-325
-
(1973)
Ecology
, vol.4
, pp. 315-325
-
-
May, R.M.1
-
27
-
-
0035281981
-
Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays
-
Ruan S. Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays Quart. Appl. Math. 59 2001 159-173
-
(2001)
Quart. Appl. Math.
, vol.59
, pp. 159-173
-
-
Ruan, S.1
-
28
-
-
0009636209
-
Random dispersal in theoretical population
-
Skellam J.D. Random dispersal in theoretical population Miometrika 38 1951 196-216
-
(1951)
Miometrika
, vol.38
, pp. 196-216
-
-
Skellam, J.D.1
-
29
-
-
38249040904
-
Global stability in generalized Lotka-Volterra diffusive systems
-
Takeuchi Y. Global stability in generalized Lotka-Volterra diffusive systems J. Math. Anal. Appl. 116 1986 209-221
-
(1986)
J. Math. Anal. Appl.
, vol.116
, pp. 209-221
-
-
Takeuchi, Y.1
-
30
-
-
0022870590
-
Diffusion effect on stability of Lotka-Volterra models
-
Takeuchi Y. Diffusion effect on stability of Lotka-Volterra models Bull. Math. Biol. 46 1986 586-601
-
(1986)
Bull. Math. Biol.
, vol.46
, pp. 586-601
-
-
Takeuchi, Y.1
-
31
-
-
0024689676
-
Diffusion-mediated persistence in two-species competition Lotka-Volterra model
-
Takeuchi Y. Diffusion-mediated persistence in two-species competition Lotka-Volterra model Math. Biosci. 95 1989 65-83
-
(1989)
Math. Biosci.
, vol.95
, pp. 65-83
-
-
Takeuchi, Y.1
-
32
-
-
0025162583
-
Conflict between the need to forage and the need to avoid competition: Persistence of two-species model
-
Takeuchi Y. Conflict between the need to forage and the need to avoid competition: persistence of two-species model Math. Biosci 99 1990 181-194
-
(1990)
Math. Biosci
, vol.99
, pp. 181-194
-
-
Takeuchi, Y.1
-
33
-
-
0021623121
-
The effect of dispersal on population stability in one-species, discrete space population growth models
-
Vance R.R. The effect of dispersal on population stability in one-species, discrete space population growth models Amer. Nat. 123 1984 230-254
-
(1984)
Amer. Nat.
, vol.123
, pp. 230-254
-
-
Vance, R.R.1
-
34
-
-
0001028228
-
Global stability of a population dispersal in a two-patch environment
-
Wang W. Chen L. Global stability of a population dispersal in a two-patch environment Dynamic Systems Appl. 6 1997 207-216
-
(1997)
Dynamic Systems Appl.
, vol.6
, pp. 207-216
-
-
Wang, W.1
Chen, L.2
-
35
-
-
44949279431
-
Harmless delays for uniform persistence
-
Wang W. Ma Z. Harmless delays for uniform persistence J. Math. Anal. Appl. 158 1991 256-268
-
(1991)
J. Math. Anal. Appl.
, vol.158
, pp. 256-268
-
-
Wang, W.1
Ma, Z.2
-
36
-
-
0031060733
-
Asymptotic behavior of a predator-prey system with diffusion and delays
-
Wang W. Ma Z. Asymptotic behavior of a predator-prey system with diffusion and delays J. Math. Anal. Appl. 206 1997 191-204
-
(1997)
J. Math. Anal. Appl.
, vol.206
, pp. 191-204
-
-
Wang, W.1
Ma, Z.2
-
37
-
-
0034249333
-
Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
-
Xu R. Chen L. Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment Comput. Math. Appl. 40 2000 577-588
-
(2000)
Comput. Math. Appl.
, vol.40
, pp. 577-588
-
-
Xu, R.1
Chen, L.2
-
38
-
-
0033197434
-
Persistence and global stability for two-species nonautonomous competition Lotka-Volterra patch-system with time delay
-
Zhang J. Chen L. Chen X. Persistence and global stability for two-species nonautonomous competition Lotka-Volterra patch-system with time delay Nonlinear Anal. TMA 37 1999 1019-1028
-
(1999)
Nonlinear Anal. TMA
, vol.37
, pp. 1019-1028
-
-
Zhang, J.1
Chen, L.2
Chen, X.3
-
39
-
-
0036151553
-
Periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay
-
Zhang Z. Wang Z. Periodic solution for a two-species nonautonomous competition Lotka-Volterra patch system with time delay J. Math. Anal. Appl. 265 2002 38-48
-
(2002)
J. Math. Anal. Appl.
, vol.265
, pp. 38-48
-
-
Zhang, Z.1
Wang, Z.2
|