-
1
-
-
14844315022
-
Ratio-dependent predator-prey model: effect of environmental fluctuation and stability
-
Bandyopadhyay M., and Chattopadhyay J. Ratio-dependent predator-prey model: effect of environmental fluctuation and stability. Nonlinearity 18 (2005) 913-936
-
(2005)
Nonlinearity
, vol.18
, pp. 913-936
-
-
Bandyopadhyay, M.1
Chattopadhyay, J.2
-
5
-
-
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
-
8
-
-
0006710876
-
The role of minimalism in art and science
-
Slobdokin L.B. The role of minimalism in art and science. Am. Nat. 127 (1986) 252-265
-
(1986)
Am. Nat.
, vol.127
, pp. 252-265
-
-
Slobdokin, L.B.1
-
9
-
-
0000076167
-
The Components of arthropod predation - II, The predator rate of increase
-
Beddingon J.R., Hassel M.P., and Lawton J.H. The Components of arthropod predation - II, The predator rate of increase. J. Animal Ecol. 44 (1976) 331-340
-
(1976)
J. Animal Ecol.
, vol.44
, pp. 331-340
-
-
Beddingon, J.R.1
Hassel, M.P.2
Lawton, J.H.3
-
10
-
-
0001686464
-
Biomass and production of large African herbivores in relation to rainfall and primary production
-
Coe M.J., Cumming D.H., and Philipson J. Biomass and production of large African herbivores in relation to rainfall and primary production. Oceologia 22 (1976) 341-354
-
(1976)
Oceologia
, vol.22
, pp. 341-354
-
-
Coe, M.J.1
Cumming, D.H.2
Philipson, J.3
-
11
-
-
4944258042
-
Coupling in prey predator dynamics: ratio-dependence
-
Arditi R., and Ginzburg L.R. Coupling in prey predator dynamics: ratio-dependence. J. Theor. Biol. 139 (1989) 311-326
-
(1989)
J. Theor. Biol.
, vol.139
, pp. 311-326
-
-
Arditi, R.1
Ginzburg, L.R.2
-
12
-
-
0027075622
-
The origin and evolution of predator-prey theory
-
Berryman A.A. The origin and evolution of predator-prey theory. Ecology 73 (1992) 1530-1535
-
(1992)
Ecology
, vol.73
, pp. 1530-1535
-
-
Berryman, A.A.1
-
13
-
-
33845271499
-
Global stability and bifurcation in a delayed nonlinear Autotroph-Herbivore model
-
Bandyopadhyay M. Global stability and bifurcation in a delayed nonlinear Autotroph-Herbivore model. Nonlinear Phenom. Comput. Syst. 7 (2004) 238-249
-
(2004)
Nonlinear Phenom. Comput. Syst.
, vol.7
, pp. 238-249
-
-
Bandyopadhyay, M.1
-
14
-
-
0035460603
-
Predator prey models with delay and prey harvesting
-
Martin A., and Ruan S. Predator prey models with delay and prey harvesting. J. Math. Biol. 43 (2001) 247-267
-
(2001)
J. Math. Biol.
, vol.43
, pp. 247-267
-
-
Martin, A.1
Ruan, S.2
-
15
-
-
0000542895
-
Variation in plankton densities among lakes: a case for ratio-dependent predation models
-
Arditi R., Ginzburg L.R., and Akçakaya H.R. Variation in plankton densities among lakes: a case for ratio-dependent predation models. Am. Nat. 138 (1991) 1287-1296
-
(1991)
Am. Nat.
, vol.138
, pp. 1287-1296
-
-
Arditi, R.1
Ginzburg, L.R.2
Akçakaya, H.R.3
-
16
-
-
0032058512
-
Global analysis in some delayed ratio-dependent predator-prey systems
-
Beretta E., and Kuang Y. Global analysis in some delayed ratio-dependent predator-prey systems. Nonlinear Anal. TMA 32 (1998) 381-408
-
(1998)
Nonlinear Anal. TMA
, vol.32
, pp. 381-408
-
-
Beretta, E.1
Kuang, Y.2
-
17
-
-
0035460669
-
Parametric analysis of the ratio-dependent predator-prey model
-
Berezovskaya F., Karev G., and Arditi R. Parametric analysis of the ratio-dependent predator-prey model. J. Math. Biol. 43 (2001) 221-246
-
(2001)
J. Math. Biol.
, vol.43
, pp. 221-246
-
-
Berezovskaya, F.1
Karev, G.2
Arditi, R.3
-
18
-
-
0035376255
-
Global analysis of the Michaelis-Menten type ratio-dependent predator-prey system
-
Hsu S.B., Hwang T.W., and Kuang Y. Global analysis of the Michaelis-Menten type ratio-dependent predator-prey system. J. Math. Biol. 42 (2001) 489-506
-
(2001)
J. Math. Biol.
, vol.42
, pp. 489-506
-
-
Hsu, S.B.1
Hwang, T.W.2
Kuang, Y.3
-
19
-
-
0035512366
-
Rich dynamics of a ratio-dependent one prey two predator model
-
Hsu S.B., Hwang T.W., and Kuang Y. Rich dynamics of a ratio-dependent one prey two predator model. J. Math. Biol. 43 (2001) 377-396
-
(2001)
J. Math. Biol.
, vol.43
, pp. 377-396
-
-
Hsu, S.B.1
Hwang, T.W.2
Kuang, Y.3
-
20
-
-
0037210844
-
A ratio-dependent food chain model and its applications to biological control
-
Hsu S.B., Hwang T.W., and Kuang Y. A ratio-dependent food chain model and its applications to biological control. Math. Biosci. 181 (2003) 55-83
-
(2003)
Math. Biosci.
, vol.181
, pp. 55-83
-
-
Hsu, S.B.1
Hwang, T.W.2
Kuang, Y.3
-
21
-
-
0033061694
-
About deterministic extinction in ratio-dependent predator-prey models
-
Jost C., Arino O., and Arditi R. About deterministic extinction in ratio-dependent predator-prey models. Bull. Math. Biol. 61 (1999) 19-32
-
(1999)
Bull. Math. Biol.
, vol.61
, pp. 19-32
-
-
Jost, C.1
Arino, O.2
Arditi, R.3
-
22
-
-
0000941262
-
Rich dynamics of Gause-type ratio-dependent predator-prey system
-
Kuang Y. Rich dynamics of Gause-type ratio-dependent predator-prey system. Fields Institute Commun. 21 (1999) 325-337
-
(1999)
Fields Institute Commun.
, vol.21
, pp. 325-337
-
-
Kuang, Y.1
-
23
-
-
0037299742
-
Stability and bifurcation in a delayed ratio-dependent predator-prey system
-
Xiao D., and Li W. Stability and bifurcation in a delayed ratio-dependent predator-prey system. Proc. Edinburgh Math. Soc. 45 (2002) 205-220
-
(2002)
Proc. Edinburgh Math. Soc.
, vol.45
, pp. 205-220
-
-
Xiao, D.1
Li, W.2
-
24
-
-
0035464834
-
Global dynamics of a ratio-dependent predator-prey systems
-
Xiao D., and Ruan S. Global dynamics of a ratio-dependent predator-prey systems. J. Math. Biol. 43 (2001) 221-290
-
(2001)
J. Math. Biol.
, vol.43
, pp. 221-290
-
-
Xiao, D.1
Ruan, S.2
-
25
-
-
0038488085
-
Effects of environmental fluctuation on plankton Allelopathy
-
Tapaswi P.K., and Mukhopadhyay A. Effects of environmental fluctuation on plankton Allelopathy. J. Math. Biol. 39 (1999) 39-58
-
(1999)
J. Math. Biol.
, vol.39
, pp. 39-58
-
-
Tapaswi, P.K.1
Mukhopadhyay, A.2
-
26
-
-
0347600676
-
Numerical simulation of stochastic ordinary differential equations in biomathematical modelling
-
Carletti M., Burrage K., and Burrage P.M. Numerical simulation of stochastic ordinary differential equations in biomathematical modelling. Math. Comp. Simul. 64 (2004) 271-277
-
(2004)
Math. Comp. Simul.
, vol.64
, pp. 271-277
-
-
Carletti, M.1
Burrage, K.2
Burrage, P.M.3
-
28
-
-
19944404654
-
On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage interaction
-
Beretta E., Carletti M., and Solimano F. On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage interaction. Can. Appl. Math. Quart. 8 4 (2000) 321-366
-
(2000)
Can. Appl. Math. Quart.
, vol.8
, Issue.4
, pp. 321-366
-
-
Beretta, E.1
Carletti, M.2
Solimano, F.3
-
29
-
-
33845457993
-
Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection
-
Carletti M. Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection. Math. Med. Biol. 23 (2006) 297-310
-
(2006)
Math. Med. Biol.
, vol.23
, pp. 297-310
-
-
Carletti, M.1
-
30
-
-
38049048436
-
-
H. Thieme, Mathematical Biology, An Introduction via Selected Topics, Lecture Note at Arizona State University, 1997.
-
-
-
-
31
-
-
0015243940
-
Paradox of enrichment: destabilization of exploitation ecosystems in ecological time
-
Rosenzweig M.L. Paradox of enrichment: destabilization of exploitation ecosystems in ecological time. Science 171 (1971) 385-387
-
(1971)
Science
, vol.171
, pp. 385-387
-
-
Rosenzweig, M.L.1
-
35
-
-
0018102678
-
On the global stability of a predator-prey system
-
Hsu S.B. On the global stability of a predator-prey system. Math. Biosci. 39 (1978) 1-10
-
(1978)
Math. Biosci.
, vol.39
, pp. 1-10
-
-
Hsu, S.B.1
-
36
-
-
0000429668
-
Harmless delays in model systems
-
Gopalsamy K. Harmless delays in model systems. Bull. Math. Biol. 45 (1983) 295-309
-
(1983)
Bull. Math. Biol.
, vol.45
, pp. 295-309
-
-
Gopalsamy, K.1
-
37
-
-
0005686511
-
Delayed responses and stability in two-species systems
-
Gopalsamy K. Delayed responses and stability in two-species systems. J. Austr. Math. Soc. Ser. B 25 (1984) 473-500
-
(1984)
J. Austr. Math. Soc. Ser. B
, vol.25
, pp. 473-500
-
-
Gopalsamy, K.1
-
39
-
-
0000209631
-
Discrete delay, distributed delay and stability switches
-
Cooke K.L., and Grossman Z. Discrete delay, distributed delay and stability switches. J. Math. Anal. Appl. 86 (1982) 592-627
-
(1982)
J. Math. Anal. Appl.
, vol.86
, pp. 592-627
-
-
Cooke, K.L.1
Grossman, Z.2
-
41
-
-
17844366808
-
Effect of environmental fluctuation on a Autotroph-Herbivore model
-
Saha T., and Bandyopadhyay M. Effect of environmental fluctuation on a Autotroph-Herbivore model. Int. J. Math. Math. Sci. 2004 68 (2004) 3703-3716
-
(2004)
Int. J. Math. Math. Sci.
, vol.2004
, Issue.68
, pp. 3703-3716
-
-
Saha, T.1
Bandyopadhyay, M.2
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