-
1
-
-
84984082223
-
A mathematical model for the continuous culture of micro-organisms utilizing inhibitory substrates
-
Andrews J.F. A mathematical model for the continuous culture of micro-organisms utilizing inhibitory substrates. Biotechnol. Bioeng. 10 (1968) 707-723
-
(1968)
Biotechnol. Bioeng.
, vol.10
, pp. 707-723
-
-
Andrews, J.F.1
-
2
-
-
0000075426
-
Kinetics of nitrite oxidation by nitrobacter winogradski
-
Boon B., and Landelout H. Kinetics of nitrite oxidation by nitrobacter winogradski. Biochem. J 85 (1962) 440-447
-
(1962)
Biochem. J
, vol.85
, pp. 440-447
-
-
Boon, B.1
Landelout, H.2
-
3
-
-
34247374202
-
-
X.F. Chen, W.M. Ni, Y.W. Qi, M.X. Wang, Steady states of a strongly coupled prey-predator model (preprint)
-
-
-
-
4
-
-
0000674530
-
The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model
-
Collings J.B. The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. J. Math. Biol. 36 (1997) 149-168
-
(1997)
J. Math. Biol.
, vol.36
, pp. 149-168
-
-
Collings, J.B.1
-
5
-
-
0002263503
-
Can Daphnia prevent a blue-green algal bloom in hypertropic lakes? A laboratory test
-
Davidowicz P., Gliwicz Z.M., and Gulati R.D. Can Daphnia prevent a blue-green algal bloom in hypertropic lakes? A laboratory test. Limnologica 19 (1988) 21-26
-
(1988)
Limnologica
, vol.19
, pp. 21-26
-
-
Davidowicz, P.1
Gliwicz, Z.M.2
Gulati, R.D.3
-
6
-
-
23044527512
-
Qualitative behaviour of positive solutions of a predator-prey model: Effects of saturation
-
Du Y.H., and Lou Y. Qualitative behaviour of positive solutions of a predator-prey model: Effects of saturation. Proc. Roy. Soc. Edinburgh. 131A (2001) 321-349
-
(2001)
Proc. Roy. Soc. Edinburgh.
, vol.131 A
, pp. 321-349
-
-
Du, Y.H.1
Lou, Y.2
-
7
-
-
0014844019
-
Influence of high substrate concentrations on microbial kinetics
-
Edwards V.H. Influence of high substrate concentrations on microbial kinetics. Biotechnol. Bioeng. 12 (1970) 679-712
-
(1970)
Biotechnol. Bioeng.
, vol.12
, pp. 679-712
-
-
Edwards, V.H.1
-
9
-
-
0022849138
-
Predator-prey systems with group defense: The paradox of enrichment revisited
-
Freedman H.I., and Wolkowicz G.S.K. Predator-prey systems with group defense: The paradox of enrichment revisited. Bull. Math. Biol. 57 (1986) 493-508
-
(1986)
Bull. Math. Biol.
, vol.57
, pp. 493-508
-
-
Freedman, H.I.1
Wolkowicz, G.S.K.2
-
10
-
-
0012335790
-
-
Springer-Verlag
-
Henry D. Geometric Theory of Semilinear Parabolic Equations. third ed. Lecture Notes in Mathematics vol. 840 (1993), Springer-Verlag
-
(1993)
Lecture Notes in Mathematics
, vol.840
-
-
Henry, D.1
-
11
-
-
0000976164
-
Modification of intermediate host behaviour by parasites
-
Holmes J., and Bethel W. Modification of intermediate host behaviour by parasites. Zool. J. Linn Soc. 51 Suppl. 1 (1972) 123-149
-
(1972)
Zool. J. Linn Soc.
, vol.51
, Issue.SUPPL. 1
, pp. 123-149
-
-
Holmes, J.1
Bethel, W.2
-
12
-
-
0018102678
-
On global stability of a predator-prey model
-
Hsu S. On global stability of a predator-prey model. Math. Biosci. 39 (1978) 1-10
-
(1978)
Math. Biosci.
, vol.39
, pp. 1-10
-
-
Hsu, S.1
-
13
-
-
0032389543
-
Singular perturbation approach to a 3-component reaction-diffusion system arising in population dynamics
-
Kan-on Y., and Mimura M. Singular perturbation approach to a 3-component reaction-diffusion system arising in population dynamics. SIAM J. Math. Anal. 29 (1998) 1519-1536
-
(1998)
SIAM J. Math. Anal.
, vol.29
, pp. 1519-1536
-
-
Kan-on, Y.1
Mimura, M.2
-
14
-
-
0031232497
-
Qualitative properties of two-dimensional predator-prey systems
-
Kooji R., and Zegeling A. Qualitative properties of two-dimensional predator-prey systems. Nonlinear Anal. 29 (1997) 693-715
-
(1997)
Nonlinear Anal.
, vol.29
, pp. 693-715
-
-
Kooji, R.1
Zegeling, A.2
-
15
-
-
0002861760
-
Uniqueness of limit cycles in Gauss-type models of predator-prey systems
-
Kuang Y., and Freedman H. Uniqueness of limit cycles in Gauss-type models of predator-prey systems. Math. Biosci. 88 (1988) 67-84
-
(1988)
Math. Biosci.
, vol.88
, pp. 67-84
-
-
Kuang, Y.1
Freedman, H.2
-
16
-
-
0002542873
-
Large amplitude stationary solutions to a chemotaxis systems
-
Lin C.S., Ni W.M., and Takagi I. Large amplitude stationary solutions to a chemotaxis systems. J. Differential equations 72 (1988) 1-27
-
(1988)
J. Differential equations
, vol.72
, pp. 1-27
-
-
Lin, C.S.1
Ni, W.M.2
Takagi, I.3
-
17
-
-
0347055376
-
On 3×3 Lotka-Volterra competition systems with cross-diffusion
-
Lou Y., Martinez S., and Ni W.M. On 3×3 Lotka-Volterra competition systems with cross-diffusion. Discrete Contin. Dyn. Sys. 6 1 (2000) 175-190
-
(2000)
Discrete Contin. Dyn. Sys.
, vol.6
, Issue.1
, pp. 175-190
-
-
Lou, Y.1
Martinez, S.2
Ni, W.M.3
-
18
-
-
0030579038
-
Diffusion, self-diffusion and cross-diffusion
-
Lou Y., and Ni W.M. Diffusion, self-diffusion and cross-diffusion. J. Differential Equations 131 (1996) 79-131
-
(1996)
J. Differential Equations
, vol.131
, pp. 79-131
-
-
Lou, Y.1
Ni, W.M.2
-
19
-
-
0033130048
-
Diffusion, vs. cross-diffusion: An elliptic approach
-
Lou Y., and Ni W.M. Diffusion, vs. cross-diffusion: An elliptic approach. J. Differential Equations 154 (1999) 157-190
-
(1999)
J. Differential Equations
, vol.154
, pp. 157-190
-
-
Lou, Y.1
Ni, W.M.2
-
20
-
-
0039645998
-
Limit cycles in predator-prey communities
-
May R. Limit cycles in predator-prey communities. Science 177 (1972) 900-902
-
(1972)
Science
, vol.177
, pp. 900-902
-
-
May, R.1
-
21
-
-
0001264695
-
A predator-prey system involving group defense: A connection matrix approach
-
Mischaikow K., and Wolkowicz G.S.K. A predator-prey system involving group defense: A connection matrix approach. Nonlinear Anal. 14 (1990) 955-969
-
(1990)
Nonlinear Anal.
, vol.14
, pp. 955-969
-
-
Mischaikow, K.1
Wolkowicz, G.S.K.2
-
22
-
-
0003002827
-
Diffusion, cross-diffusion and their spike-layer steady states
-
Ni W.M. Diffusion, cross-diffusion and their spike-layer steady states. Notices Amer. Math. Soc. 45 1 (1998) 9-18
-
(1998)
Notices Amer. Math. Soc.
, vol.45
, Issue.1
, pp. 9-18
-
-
Ni, W.M.1
-
24
-
-
1442279582
-
Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion
-
Pang P.Y.H., and Wang M.X. Non-constant positive steady states of a predator-prey system with non-monotonic functional response and diffusion. Proc. London Math. Soc. 88 3 (2004) 135-157
-
(2004)
Proc. London Math. Soc.
, vol.88
, Issue.3
, pp. 135-157
-
-
Pang, P.Y.H.1
Wang, M.X.2
-
25
-
-
0015243940
-
Paradox of enrichment: Destabilization of exploitation ecosystems in ecological time
-
Rosenzweig M. Paradox of enrichment: Destabilization of exploitation ecosystems in ecological time. Science 171 (1971) 385-387
-
(1971)
Science
, vol.171
, pp. 385-387
-
-
Rosenzweig, M.1
-
26
-
-
0034839054
-
Global analysis in a predator-prey system with non monotonic functional response
-
Ruan S.G., and Xiao D.M. Global analysis in a predator-prey system with non monotonic functional response. SIAM J. Appl. Math. 61 4 (2001) 1445-1472
-
(2001)
SIAM J. Appl. Math.
, vol.61
, Issue.4
, pp. 1445-1472
-
-
Ruan, S.G.1
Xiao, D.M.2
-
28
-
-
84942111823
-
Kinetics of phenol oxidation by washed cells
-
Sokol W., and Howell J.A. Kinetics of phenol oxidation by washed cells. Biotechnol. Bioeng. 23 (1980) 2039-2049
-
(1980)
Biotechnol. Bioeng.
, vol.23
, pp. 2039-2049
-
-
Sokol, W.1
Howell, J.A.2
-
29
-
-
34247355765
-
-
J. Tener, Muskoxen, Queen's Printer, Ottawa, Canada, 1965
-
-
-
-
30
-
-
0001555614
-
Bifurcation analysis of a predator-prey system involving group defense
-
Wolkowicz G.S.K. Bifurcation analysis of a predator-prey system involving group defense. SIAM J. Appl. Math. 48 (1988) 592-606
-
(1988)
SIAM J. Appl. Math.
, vol.48
, pp. 592-606
-
-
Wolkowicz, G.S.K.1
-
31
-
-
34247394052
-
-
M.X. Wang, Stationary patterns of strongly coupled predator-prey models (preprint)
-
-
-
-
32
-
-
0016786772
-
Dynamics and steady state studies of phenol biodegeneration in pure and mixed cultures
-
Yang R., and Humphrey A. Dynamics and steady state studies of phenol biodegeneration in pure and mixed cultures. Biotechnol. Bioeng. 17 (1975) 1211-1235
-
(1975)
Biotechnol. Bioeng.
, vol.17
, pp. 1211-1235
-
-
Yang, R.1
Humphrey, A.2
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