-
1
-
-
0001864149
-
Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability
-
Beretta E., Takeuchi Y. Qualitative properties of chemostat equations with time delays: boundedness, local and global asymptotic stability. Differ. Equat. Dyn. Syst. 2:1994;19-40.
-
(1994)
Differ. Equat. Dyn. Syst.
, vol.2
, pp. 19-40
-
-
Beretta, E.1
Takeuchi, Y.2
-
2
-
-
0032399698
-
Global stability in chemostat-type equations with distributed delays
-
He X.Z., Ruan S., Xia H. Global stability in chemostat-type equations with distributed delays. SIAM J. Math. Anal. 29:1998;681-696.
-
(1998)
SIAM J. Math. Anal.
, vol.29
, pp. 681-696
-
-
He, X.Z.1
Ruan, S.2
Xia, H.3
-
3
-
-
0037411782
-
Stability and persistence in plankton models with distributed delays
-
Abdallah A.H. Stability and persistence in plankton models with distributed delays. Chaos, Solitons & Fractals. 17:2003;879-884.
-
(2003)
Chaos, Solitons & Fractals
, vol.17
, pp. 879-884
-
-
Abdallah, A.H.1
-
4
-
-
0000326250
-
The ecology and physiological significance of the growth of heterotrophic microorganisms with mixtures of substrates
-
Jones G. New York: Plenum Press
-
Egli T. The ecology and physiological significance of the growth of heterotrophic microorganisms with mixtures of substrates. Jones G. Advances in microbial ecology. vol. 14:1995;305-386 Plenum Press, New York.
-
(1995)
Advances in Microbial Ecology
, vol.14
, pp. 305-386
-
-
Egli, T.1
-
5
-
-
0000228768
-
The continuous culture of bacteria; A theoretical and experimental study
-
Herbert D., Elsworth R., Telling R.C. The continuous culture of bacteria; a theoretical and experimental study. J. Gen. Microbiol. 14:1956;60l-622.
-
(1956)
J. Gen. Microbiol.
, vol.14
-
-
Herbert, D.1
Elsworth, R.2
Telling, R.C.3
-
6
-
-
0001555399
-
Description of the chemostat
-
Novick A., Sziliard L. Description of the chemostat. Science. 112:1950;715-716.
-
(1950)
Science
, vol.112
, pp. 715-716
-
-
Novick, A.1
Sziliard, L.2
-
8
-
-
0016632639
-
Theoretical studies on the coexistence of competing species under continuous-flow conditions
-
Taylor P.A., Williams J.L. Theoretical studies on the coexistence of competing species under continuous-flow conditions. Canadian J. Microbiol. 21:1975;90-98.
-
(1975)
Canadian J. Microbiol.
, vol.21
, pp. 90-98
-
-
Taylor, P.A.1
Williams, J.L.2
-
11
-
-
0022184007
-
Temporal variation, spatial heterogeneity and competition for resource in plankton system: A theoretical model
-
Powell T., Richerson P.J. Temporal variation, spatial heterogeneity and competition for resource in plankton system: a theoretical model. Am. Natur. 125:1985;431-464.
-
(1985)
Am. Natur.
, vol.125
, pp. 431-464
-
-
Powell, T.1
Richerson, P.J.2
-
13
-
-
0001453657
-
Time lag in population growth response of Isochrysis galbana to a variable nitrate environment
-
Caperon J. Time lag in population growth response of Isochrysis galbana to a variable nitrate environment. Ecology. 50:1969;188-192.
-
(1969)
Ecology
, vol.50
, pp. 188-192
-
-
Caperon, J.1
-
14
-
-
0018839365
-
Time lag and co-operativity in the transient growth dynamics of microalgae
-
Cunningham A., Nisbet R.M. Time lag and co-operativity in the transient growth dynamics of microalgae. J. Theor. Biol. 84:1980;189-203.
-
(1980)
J. Theor. Biol.
, vol.84
, pp. 189-203
-
-
Cunningham, A.1
Nisbet, R.M.2
-
15
-
-
0002477803
-
Time delays in chemostat models
-
M.J. Bazin. Boca Raton, FL: CRC Press
-
MacDonald N. Time delays in chemostat models. Bazin M.J. Microbial population dynamics. 1982;33-53 CRC Press, Boca Raton, FL.
-
(1982)
Microbial Population Dynamics
, pp. 33-53
-
-
MacDonald, N.1
-
16
-
-
0025152436
-
Stability in chemostat equations with delayed nutrient recycling
-
Beretta E., Bischi G.I., Solimano F. Stability in chemostat equations with delayed nutrient recycling. J. Math. Biol. 28:1990;99-111.
-
(1990)
J. Math. Biol.
, vol.28
, pp. 99-111
-
-
Beretta, E.1
Bischi, G.I.2
Solimano, F.3
-
17
-
-
0026537932
-
Effects of time lags on transient characteristics of a nutrient cycling model
-
Bischi G.I. Effects of time lags on transient characteristics of a nutrient cycling model. Math. Biosci. 109:1992;151-175.
-
(1992)
Math. Biosci.
, vol.109
, pp. 151-175
-
-
Bischi, G.I.1
-
18
-
-
0000778770
-
The effect of delays on stability and persistence in plankton models
-
Ruan S. The effect of delays on stability and persistence in plankton models. Nonlin. Anal. - TMA. 24:1995;575-585.
-
(1995)
Nonlin. Anal. - TMA
, vol.24
, pp. 575-585
-
-
Ruan, S.1
-
19
-
-
0006674647
-
Global stability in chemostat-type plankton models with delayed nutrient recycling
-
He X.Z., Ruan S. Global stability in chemostat-type plankton models with delayed nutrient recycling. J. Math. Biol. 37:1998;253-271.
-
(1998)
J. Math. Biol.
, vol.37
, pp. 253-271
-
-
He, X.Z.1
Ruan, S.2
-
22
-
-
0011678840
-
Global stability for chemostat equations with delayed nutrient recycling
-
Beretta, Takeuchi Y. Global stability for chemostat equations with delayed nutrient recycling. Nonlin. World. 1:1994;291-306.
-
(1994)
Nonlin. World
, vol.1
, pp. 291-306
-
-
Beretta1
Takeuchi, Y.2
-
23
-
-
0030589755
-
Bifurcation analysis of a chemostat model with a distributed delay
-
Ruan S., Wolkowicz G.S.K. Bifurcation analysis of a chemostat model with a distributed delay. J. Math. Anal. Appl. 204:1996;786-812.
-
(1996)
J. Math. Anal. Appl.
, vol.204
, pp. 786-812
-
-
Ruan, S.1
Wolkowicz, G.S.K.2
-
24
-
-
0001503284
-
Coexistence in a model of competition in the chemostat incorporating discrete delay
-
Freedman H.I., So J., Waltman P. Coexistence in a model of competition in the chemostat incorporating discrete delay. SIAM J. Appl. Math. 49:1989;859-870.
-
(1989)
SIAM J. Appl. Math.
, vol.49
, pp. 859-870
-
-
Freedman, H.I.1
So, J.2
Waltman, P.3
|