-
1
-
-
0023083590
-
Global stability of single-species diffusion Volterra models with continuous time delays
-
E. Beretta, and Y. Takeuchi 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
-
2
-
-
0000839494
-
Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delays
-
E. Beretta, and Y. Takeuchi 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
-
3
-
-
38249035528
-
Global stability and periodic orbits for two patch predator-prey diffusion delay models
-
E. Beretta, F. Solimano, and Y. Takeuchi 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
-
-
0035877556
-
Permanent and extinction in logistic and Lotka-Volterra systems with diffusion
-
J. Cui, and L. Chen Permanent and extinction in logistic and Lotka-Volterra systems with diffusion J. Math. Anal. Appl. 258 2001 512 535
-
(2001)
J. Math. Anal. Appl.
, vol.258
, pp. 512-535
-
-
Cui, J.1
Chen, L.2
-
5
-
-
4544243200
-
Permanent and extinction for dispersal population systems
-
J. Cui, Y. Takeuchi, and Z. Lin Permanent and extinction for dispersal population systems J. Math. Anal. Appl. 298 2004 73 93
-
(2004)
J. Math. Anal. Appl.
, vol.298
, pp. 73-93
-
-
Cui, J.1
Takeuchi, Y.2
Lin, Z.3
-
7
-
-
0000657160
-
Single species migration in two habitats: Persistence and extinction
-
H.I. Freedman 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
-
8
-
-
0000262789
-
Global stability and predator dynamics in a model of prey dispersal in a patchy environment
-
H.I. Freedman, and Y. Takeuchi 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
-
9
-
-
0001363099
-
Mathematical models of population interaction with dispersal, I: Stability of two habitats with and without a predator
-
H.I. Freedman, and P. Waltman Mathematical models of population interaction with dispersal, I: Stability of two habitats with and without a predator SIAM J. Math. 32 1977 631 648
-
(1977)
SIAM J. Math.
, vol.32
, pp. 631-648
-
-
Freedman, H.I.1
Waltman, P.2
-
11
-
-
0017522059
-
Spatial heterogeneity and the stability of predator prey systems
-
A. Hastings Spatial heterogeneity and the stability of predator prey systems Theoret. Popul. Biol. 12 1977 37 48
-
(1977)
Theoret. Popul. Biol.
, vol.12
, pp. 37-48
-
-
Hastings, A.1
-
13
-
-
0028359362
-
Predator-prey dynamics in models of prey dispersal in two-patch environment
-
Y. Kuang, and Y. Takeuchi Predator-prey dynamics in models of prey dispersal in two-patch environment Math. Biosci. 120 1994 77 98
-
(1994)
Math. Biosci.
, vol.120
, pp. 77-98
-
-
Kuang, Y.1
Takeuchi, Y.2
-
14
-
-
0000793907
-
Dispersion and population interactions
-
S. Levin Dispersion and population interactions Am. Nat. 108 1974 207 228
-
(1974)
Am. Nat.
, vol.108
, pp. 207-228
-
-
Levin, S.1
-
15
-
-
0002246746
-
Global asymptotic behavior in single-species discrete diffusion systems
-
Z. Lu, and Y. Takeuchi 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
-
-
0003270907
-
Monotone dynamical systems. An introduction to the theory of competitive and cooperative systems
-
American Mathematical Society, Providence, RI
-
H.L. Smith, Monotone Dynamical Systems. An Introduction to the Theory of Competitive and Cooperative Systems, Math Surveys and Monographs 41, American Mathematical Society, Providence, RI, 1995.
-
(1995)
Math Surveys and Monographs
, vol.41
-
-
Smith, H.L.1
-
19
-
-
38249040904
-
Global stability in generalized Lotka-Volterra diffusion systems
-
Y. Takeuchi Global stability in generalized Lotka-Volterra diffusion systems J. Math. Anal. Appl. 116 1986 209 221
-
(1986)
J. Math. Anal. Appl.
, vol.116
, pp. 209-221
-
-
Takeuchi, Y.1
-
20
-
-
0022870590
-
Diffusion effect on stability of Lotka-Volterra model
-
Y. Takeuchi Diffusion effect on stability of Lotka-Volterra model Bull. Math. Biol. 46 1986 585 601
-
(1986)
Bull. Math. Biol.
, vol.46
, pp. 585-601
-
-
Takeuchi, Y.1
-
21
-
-
0002296770
-
Cooperative system theory and global stability of diffusion models
-
Y. Takeuchi Cooperative system 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
-
22
-
-
0024689676
-
Diffusion-mediated persistence in two-species competition Lotka-Volterra model
-
Y. Takeuchi 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
-
23
-
-
0025162583
-
Conflict between the need to forage and the need to avoid competition: Persistence of two-species model
-
Y. Takeuchi 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
-
26
-
-
0035347968
-
The effect of dispersal on single-species nonautonomous dispersal models with delays
-
Z. Teng, and Z. Lu The effect of dispersal on single-species nonautonomous dispersal models with delays J. Math. Biol. 42 2001 439 454
-
(2001)
J. Math. Biol.
, vol.42
, pp. 439-454
-
-
Teng, Z.1
Lu, Z.2
-
27
-
-
0001028228
-
Global stability of a population dispersal in a two-patch environment
-
W. Wang, and L. Chen 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
-
28
-
-
0031176622
-
Global attractivity of periodic solutions of population models
-
W. Wang, P. Fergola, and C. Tenneriello Global attractivity of periodic solutions of population models J. Math. Anal. Appl. 211 1997 498 511
-
(1997)
J. Math. Anal. Appl.
, vol.211
, pp. 498-511
-
-
Wang, W.1
Fergola, P.2
Tenneriello, C.3
-
29
-
-
4344644299
-
Dynamical systems in population biology
-
Springer, New York
-
Z. Xiao-Qiang, Dynamical Systems in Population Biology, CMS Books in Mathematics, vol. 16, Springer, New York, 2003.
-
(2003)
CMS Books in Mathematics
, vol.16
-
-
Xiao-Qiang, Z.1
-
30
-
-
0013174737
-
Global asymptotic behavior in some cooperative systems of functional differential equations
-
Z. Xiao-Qiang, and J. Zhujun Global asymptotic behavior in some cooperative systems of functional differential equations Can. Appl. Math. Quart. 4 1996 421 444
-
(1996)
Can. Appl. Math. Quart.
, vol.4
, pp. 421-444
-
-
Xiao-Qiang, Z.1
Zhujun, J.2
|