-
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
-
-
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
-
4
-
-
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
-
5
-
-
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
-
6
-
-
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
-
7
-
-
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
-
8
-
-
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
-
9
-
-
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
-
10
-
-
38249043753
-
Mathematical models of population interaction with dispersal: Differential survival in a change of habtat
-
Freedman H.I., Rai B., Waltman P. Mathematical models of population interaction with dispersal: differential survival in a change of habtat. 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
-
11
-
-
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
-
12
-
-
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
-
13
-
-
0000793907
-
Dispersion and population interactions
-
Levin S.A. Dispersion and population interactions. Am. Nat. 108:1974;207-228.
-
(1974)
Am. Nat.
, vol.108
, pp. 207-228
-
-
Levin, S.A.1
-
14
-
-
36849153282
-
Hypothesis to explain the origion of planktonic patchness
-
Levin S.A., Segel L.A. Hypothesis to explain the origion of planktonic patchness. Nature. 259:1976;659.
-
(1976)
Nature
, vol.259
, pp. 659
-
-
Levin, S.A.1
Segel, L.A.2
-
15
-
-
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
-
16
-
-
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
-
17
-
-
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
-
18
-
-
0002296770
-
Cooperative systems theory and global stability of diffusion models
-
Takeuchi Y. Cooperative systems theory and global stability of diffusion models. Acta Appl. Math. 14:1989;49-57.
-
(1989)
Acta Appl. Math.
, vol.14
, pp. 49-57
-
-
Takeuchi, Y.1
-
19
-
-
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
-
20
-
-
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
-
21
-
-
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. Am. Nat. 123:1984;230-254.
-
(1984)
Am. Nat.
, vol.123
, pp. 230-254
-
-
Vance, R.R.1
-
22
-
-
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. Dyn. Syst. Appl. 6:1997;207-216.
-
(1997)
Dyn. Syst. Appl.
, vol.6
, pp. 207-216
-
-
Wang, W.1
Chen, L.2
-
23
-
-
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
-
24
-
-
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
-
25
-
-
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
-
30
-
-
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
-
31
-
-
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
-
32
-
-
0005686511
-
Delayed responses and stability in two-species systems
-
Gopalsamy K. Delayed responses and stability in two-species systems. J. Aust. Math. Soc. Ser. B. 25:1984;473-500.
-
(1984)
J. Aust. Math. Soc. Ser. B
, vol.25
, pp. 473-500
-
-
Gopalsamy, K.1
-
33
-
-
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
-
34
-
-
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
-
35
-
-
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
-
36
-
-
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
|