-
1
-
-
0000614595
-
An application of the invariance principle to reaction-diffusion equations
-
Alikakos N. D. An application of the invariance principle to reaction-diffusion equations. J. Differential Equations. 33:1979;201-225.
-
(1979)
J. Differential Equations
, vol.33
, pp. 201-225
-
-
Alikakos, N.D.1
-
2
-
-
84967768783
-
Quasilinear evolution equations and parabolic systems
-
Amann H. Quasilinear evolution equations and parabolic systems. Trans. Amer. Math. Soc. 293:1986;191-227.
-
(1986)
Trans. Amer. Math. Soc.
, vol.293
, pp. 191-227
-
-
Amann, H.1
-
3
-
-
0032201842
-
Effects of random motility on microbial growth and competition in a flow reactor
-
Ballyk M., Le D., Jones D. A., Smith H. L. Effects of random motility on microbial growth and competition in a flow reactor. SIAM J. Appl. Math. 59:1998;573-596.
-
(1998)
SIAM J. Appl. Math.
, vol.59
, pp. 573-596
-
-
Ballyk, M.1
Le, D.2
Jones, D.A.3
Smith, H.L.4
-
4
-
-
0000322496
-
The chain recurrent set, attractors, and explosions
-
Block L., Franke J. E. The chain recurrent set, attractors, and explosions. Ergodic Theory Dynam. Systems. 5:1985;321-327.
-
(1985)
Ergodic Theory Dynam. Systems
, vol.5
, pp. 321-327
-
-
Block, L.1
Franke, J.E.2
-
6
-
-
0001283333
-
Stability of fixed points for order-preserving discrete-time dynamical systems
-
Dancer E., Hess P. Stability of fixed points for order-preserving discrete-time dynamical systems. J. Reine Angew. Math. 419:1991;125-139.
-
(1991)
J. Reine Angew. Math.
, vol.419
, pp. 125-139
-
-
Dancer, E.1
Hess, P.2
-
8
-
-
0001572529
-
Persistence in discrete semi-dynamical systems
-
Freedman H. I., So J. W.-H. Persistence in discrete semi-dynamical systems. SIAM J. Math. Anal. 20:1989;930-938.
-
(1989)
SIAM J. Math. Anal.
, vol.20
, pp. 930-938
-
-
Freedman, H.I.1
So, J.W.-H.2
-
12
-
-
0001641843
-
On an abstract competition model and applications
-
Hess P., Lazer A. C. On an abstract competition model and applications. Nonlinear Anal. 16:1991;917-940.
-
(1991)
Nonlinear Anal.
, vol.16
, pp. 917-940
-
-
Hess, P.1
Lazer, A.C.2
-
13
-
-
84966222841
-
Uniform persistence and repellors for maps
-
Hofbauer J., So J. W.-H. Uniform persistence and repellors for maps. Proc. Amer. Math. Soc. 107:1989;1137-1142.
-
(1989)
Proc. Amer. Math. Soc.
, vol.107
, pp. 1137-1142
-
-
Hofbauer, J.1
So, J.W.-H.2
-
14
-
-
0026616222
-
Permanence and the dynamics of biological systems
-
Hutson V., Schmitt K. Permanence and the dynamics of biological systems. Math. Biosci. 111:1992;1-71.
-
(1992)
Math. Biosci.
, vol.111
, pp. 1-71
-
-
Hutson, V.1
Schmitt, K.2
-
16
-
-
21444453892
-
Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
-
Hsu S. B., Smith H. L., Waltman P. Competitive exclusion and coexistence for competitive systems on ordered Banach spaces. Trans. Amer. Math. Soc. 348:1996;4083-4094.
-
(1996)
Trans. Amer. Math. Soc.
, vol.348
, pp. 4083-4094
-
-
Hsu, S.B.1
Smith, H.L.2
Waltman, P.3
-
17
-
-
0000802631
-
Persistence in infinite-dimensional systems
-
Hale J. K., Waltman P. Persistence in infinite-dimensional systems. SIAM J. Math. Anal. 20:1989;388-395.
-
(1989)
SIAM J. Math. Anal.
, vol.20
, pp. 388-395
-
-
Hale, J.K.1
Waltman, P.2
-
18
-
-
0026707308
-
The growth of pure and simple microbial competitors in a moving distributed medium
-
Kung C.-M., Baltzis B. The growth of pure and simple microbial competitors in a moving distributed medium. Math. Biosci. 111:1992;295-313.
-
(1992)
Math. Biosci.
, vol.111
, pp. 295-313
-
-
Kung, C.-M.1
Baltzis, B.2
-
20
-
-
0030239605
-
A parabolic system modeling microbial competition in an unmixed bio-reactor
-
Le D., Smith H. L. A parabolic system modeling microbial competition in an unmixed bio-reactor. J. Differential Equations. 160:1996;59-91.
-
(1996)
J. Differential Equations
, vol.160
, pp. 59-91
-
-
Le, D.1
Smith, H.L.2
-
21
-
-
0009418458
-
Global stability of the endemic equilibrium and uniform persistence in epidemic models with subpopulations
-
Lin X., So J. W.-H. Global stability of the endemic equilibrium and uniform persistence in epidemic models with subpopulations. J. Austral. Math. Soc. Ser. B. 34:1993;282-295.
-
(1993)
J. Austral. Math. Soc. Ser. B
, vol.34
, pp. 282-295
-
-
Lin, X.1
So, J.W.-H.2
-
22
-
-
0001435105
-
Growth in the unstirred chemostat with different diffusion rates
-
Le D., Smith H. L., Waltman P. Growth in the unstirred chemostat with different diffusion rates. Fields Institute Communications. 21:1999;131-142.
-
(1999)
Fields Institute Communications
, vol.21
, pp. 131-142
-
-
Le, D.1
Smith, H.L.2
Waltman, P.3
-
23
-
-
84966246501
-
Abstract functional differential equations and reaction-diffusion systems
-
Martin R. H., Smith H. L. Abstract functional differential equations and reaction-diffusion systems. Trans. Amer. Math. Soc. 321:1990;1-44.
-
(1990)
Trans. Amer. Math. Soc.
, vol.321
, pp. 1-44
-
-
Martin, R.H.1
Smith, H.L.2
-
24
-
-
0000703838
-
Asymptotically autonomous semiflows: Chain recurrence and Liapunov functions
-
Mischaikow K., Smith H. L., Thieme H. R. Asymptotically autonomous semiflows: Chain recurrence and Liapunov functions. Trans. Amer. Math. Soc. 347:1995;1669-1685.
-
(1995)
Trans. Amer. Math. Soc.
, vol.347
, pp. 1669-1685
-
-
Mischaikow, K.1
Smith, H.L.2
Thieme, H.R.3
-
27
-
-
85034188422
-
Competition in a chemostat with wall growth
-
to appear
-
S. Pilyugin, and, P. Waltman, Competition in a chemostat with wall growth, SIAM J. Appl. Math, to appear.
-
SIAM J. Appl. Math
-
-
Pilyugin, S.1
Waltman, P.2
-
28
-
-
0001570568
-
Stability theorems and hyperbolicity in dynamical systems
-
Robinson C. Stability theorems and hyperbolicity in dynamical systems. Rocky Mountain J. Math. 7:1977;425-437.
-
(1977)
Rocky Mountain J. Math.
, vol.7
, pp. 425-437
-
-
Robinson, C.1
-
31
-
-
22444452981
-
Perturbation of a globally stable steady state
-
Smith H. L., Waltman P. Perturbation of a globally stable steady state. Proc. Amer. Math. Soc. 127:1999;447-453.
-
(1999)
Proc. Amer. Math. Soc.
, vol.127
, pp. 447-453
-
-
Smith, H.L.1
Waltman, P.2
-
32
-
-
0039591930
-
Persistence under relaxed point-dissipativity (with application to an epidemic model)
-
Thieme H. R. Persistence under relaxed point-dissipativity (with application to an epidemic model). SIAM J. Math. Anal. 24:1993;407-435.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 407-435
-
-
Thieme, H.R.1
-
34
-
-
0000313693
-
Uniform persistence and periodic coexistence states in infinite-dimensional periodic semiflows with applications
-
Zhao X.-Q. Uniform persistence and periodic coexistence states in infinite-dimensional periodic semiflows with applications. Canad. Appl. Math. Quart. 3:1995;473-495.
-
(1995)
Canad. Appl. Math. Quart.
, vol.3
, pp. 473-495
-
-
Zhao, X.-Q.1
-
35
-
-
0000224082
-
Global attractivity and stability in some monotone discrete dynamical systems
-
Zhao X.-Q. Global attractivity and stability in some monotone discrete dynamical systems. Bull. Austral. Math. Soc. 53:1996;305-324.
-
(1996)
Bull. Austral. Math. Soc.
, vol.53
, pp. 305-324
-
-
Zhao, X.-Q.1
-
36
-
-
0001985801
-
Asymptotic behavior for asymptotically periodic semiflows with applications
-
Zhao X.-Q. Asymptotic behavior for asymptotically periodic semiflows with applications. Comm. Appl. Nonlinear Anal. 3:1996;43-66.
-
(1996)
Comm. Appl. Nonlinear Anal.
, vol.3
, pp. 43-66
-
-
Zhao, X.-Q.1
|