-
1
-
-
0025132577
-
A time-delay model of single species growth with stage structure
-
W. G. AIELLO AND H. I. FREEDMAN, A time-delay model of single species growth with stage structure, Math. Biosci., 101 (1990), pp. 139-153.
-
(1990)
Math. Biosci
, vol.101
, pp. 139-153
-
-
AIELLO, W.G.1
FREEDMAN, H.I.2
-
2
-
-
0002664347
-
Nonlinear food web models and their response to increased basal productivity
-
G. A. Polis and K. O. Winemiller, eds, Chapman and Hall, New York
-
R. ARDITI AND J. MICHALSKI, Nonlinear food web models and their response to increased basal productivity, in Food Webs: Integration of Patterns and Dynamics, G. A. Polis and K. O. Winemiller, eds., Chapman and Hall, New York, 1996, pp. 122-133.
-
(1996)
Food Webs: Integration of Patterns and Dynamics
, pp. 122-133
-
-
ARDITI, R.1
MICHALSKI, J.2
-
3
-
-
0032058512
-
Global analysis in some ratio-dependent predator-prey systems
-
E. BERETTA AND Y. KUANG, Global analysis in some ratio-dependent predator-prey systems, Nonlinear Anal., 32 (1998), pp. 381-408.
-
(1998)
Nonlinear Anal
, vol.32
, pp. 381-408
-
-
BERETTA, E.1
KUANG, Y.2
-
4
-
-
84968505772
-
Uniformly persistent systems
-
G. BUTLER, H. I. FREEDMAN, AND P. WALTMAN, Uniformly persistent systems, Proc. Amer. Math. Soc., 96 (1986), pp. 425-430.
-
(1986)
Proc. Amer. Math. Soc
, vol.96
, pp. 425-430
-
-
BUTLER, G.1
FREEDMAN, H.I.2
WALTMAN, P.3
-
5
-
-
84968495017
-
Uniformly persistent dynamical systems
-
A. FONDA, Uniformly persistent dynamical systems, Proc. Amer. Math. Soc., 104 (1988), pp. 111-116.
-
(1988)
Proc. Amer. Math. Soc
, vol.104
, pp. 111-116
-
-
FONDA, A.1
-
6
-
-
0000361466
-
Uniform persistence near a closed positively invariant set
-
H. I. FREEDMAN, S. RUAN, AND M. TANG, Uniform persistence near a closed positively invariant set, J. Dynam. Differential Equations, 6 (1994), pp. 583-600.
-
(1994)
J. Dynam. Differential Equations
, vol.6
, pp. 583-600
-
-
FREEDMAN, H.I.1
RUAN, S.2
TANG, M.3
-
7
-
-
0002034940
-
The systematic formulation of models of stage-structured populations, in The Dynamics of Physiologically Structured Populations
-
Springer, Berlin
-
S. C. GURNEY, R. M. NISBET, AND S. P. BLYTHE, The systematic formulation of models of stage-structured populations, in The Dynamics of Physiologically Structured Populations, Lecture Notes in Biomath. 68, Springer, Berlin, 1986, pp. 474-494.
-
(1986)
Lecture Notes in Biomath
, vol.68
, pp. 474-494
-
-
GURNEY, S.C.1
NISBET, R.M.2
BLYTHE, S.P.3
-
8
-
-
34247582734
-
Global stability for a virus dynamics model with nonlinear incidence of infection and removal
-
P. GEORGESCU AND Y.-H. HSIEH, Global stability for a virus dynamics model with nonlinear incidence of infection and removal, SIAM J. Appl. Math., 67 (2006), pp. 337-353.
-
(2006)
SIAM J. Appl. Math
, vol.67
, pp. 337-353
-
-
GEORGESCU, P.1
HSIEH, Y.-H.2
-
9
-
-
15844390604
-
A stage structured predator-prey model and its dependence on maturation delay and death rate
-
S. A. GOURLEY AND Y. KUANG, A stage structured predator-prey model and its dependence on maturation delay and death rate, J. Math. Biol., 49 (2004), pp. 188-200.
-
(2004)
J. Math. Biol
, vol.49
, pp. 188-200
-
-
GOURLEY, S.A.1
KUANG, Y.2
-
10
-
-
0001030091
-
Community structure, population control, and competition
-
N. G. HAIRSTON, F. E. SMITH, AND L. B. SLOBODKIN, Community structure, population control, and competition, Am. Naturalist, 94 (1960), pp. 421-425.
-
(1960)
Am. Naturalist
, vol.94
, pp. 421-425
-
-
HAIRSTON, N.G.1
SMITH, F.E.2
SLOBODKIN, L.B.3
-
11
-
-
84966222841
-
Uniform persistence and repellors for maps
-
J. HOFBAUER AND J. W. H. SO, Uniform persistence and repellors for maps, Proc Amer. Math. Soc., 107 (1989), pp. 1137-1142.
-
(1989)
Proc Amer. Math. Soc
, vol.107
, pp. 1137-1142
-
-
HOFBAUER, J.1
SO, J.W.H.2
-
12
-
-
85044557169
-
SARS epidemiology modeling
-
Y.-H. HSIEH, J. Y. LEE, AND H. L. CHANG, SARS epidemiology modeling, Emerg. Infect. Dis., 10 (2004), pp. 1165-1167.
-
(2004)
Emerg. Infect. Dis
, vol.10
, pp. 1165-1167
-
-
HSIEH, Y.-H.1
LEE, J.Y.2
CHANG, H.L.3
-
13
-
-
0031557670
-
A formal derivation of the Beddington functional response
-
C. HUISMAN AND R. J. DEBOER, A formal derivation of the Beddington functional response, J. Theoret. Biol., 185 (1997), pp. 389-400.
-
(1997)
J. Theoret. Biol
, vol.185
, pp. 389-400
-
-
HUISMAN, C.1
DEBOER, R.J.2
-
14
-
-
0033061694
-
About deterministic extinction in ratio-dependent predatorprey models
-
C. JOST, O. ARINO, AND R. ARDITI, About deterministic extinction in ratio-dependent predatorprey models, Bull. Math. Biol., 61 (1999), pp. 19-32.
-
(1999)
Bull. Math. Biol
, vol.61
, pp. 19-32
-
-
JOST, C.1
ARINO, O.2
ARDITI, R.3
-
15
-
-
3042695365
-
Global properties of basic virus dynamics models
-
A. KOROBEINIKOV, Global properties of basic virus dynamics models, Bull. Math. Biol., 66 (2004), pp. 879-883.
-
(2004)
Bull. Math. Biol
, vol.66
, pp. 879-883
-
-
KOROBEINIKOV, A.1
-
16
-
-
27244439640
-
A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence
-
A. KOROBEINIKOV AND P. K. MAINI, A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence, Math. Biosci. Eng., 1 (2004), pp. 57-60.
-
(2004)
Math. Biosci. Eng
, vol.1
, pp. 57-60
-
-
KOROBEINIKOV, A.1
MAINI, P.K.2
-
17
-
-
25144476559
-
Non-linear incidence and stability of infectious disease models
-
A. KOROBEINIKOV AND P. K. MAINI, Non-linear incidence and stability of infectious disease models, Math. Med. Biol., 22 (2005), pp. 113-128.
-
(2005)
Math. Med. Biol
, vol.22
, pp. 113-128
-
-
KOROBEINIKOV, A.1
MAINI, P.K.2
-
18
-
-
2342612106
-
Basic properties of mathematical population models
-
Y. KUANG, Basic properties of mathematical population models, J. Biomath., 17 (2002), pp. 129-142.
-
(2002)
J. Biomath
, vol.17
, pp. 129-142
-
-
KUANG, Y.1
-
19
-
-
0000941262
-
Rich dynamics of Gause-type ratio-dependent predator-prey system
-
Y. KUANG, Rich dynamics of Gause-type ratio-dependent predator-prey system, Fields Inst. Commun., 21 (1999), pp. 325-337.
-
(1999)
Fields Inst. Commun
, vol.21
, pp. 325-337
-
-
KUANG, Y.1
-
20
-
-
0000671790
-
Global stability of Gause-type predator-prey systems
-
Y. KUANG, Global stability of Gause-type predator-prey systems, J. Math. Biol., 28 (1990), pp. 463-474.
-
(1990)
J. Math. Biol
, vol.28
, pp. 463-474
-
-
KUANG, Y.1
-
21
-
-
0000252357
-
Global qualitative analysis of a ratio-dependent predator-prey system
-
Y. KUANG AND E. BERETTA, Global qualitative analysis of a ratio-dependent predator-prey system, J. Math. Biol., 36 (1998), pp. 389-406.
-
(1998)
J. Math. Biol
, vol.36
, pp. 389-406
-
-
KUANG, Y.1
BERETTA, E.2
-
23
-
-
0028817626
-
Global stability for the SEIR model in epidemiology
-
M. Y. LI AND J. S. MULDOWNEY, Global stability for the SEIR model in epidemiology, Math. Biosci., 125 (2005), pp. 155-164.
-
(2005)
Math. Biosci
, vol.125
, pp. 155-164
-
-
LI, M.Y.1
MULDOWNEY, J.S.2
-
24
-
-
0037032855
-
Recent progress on stage-structured population dynamics
-
S. LIU, L. CHEN, AND R. AGARWAL, Recent progress on stage-structured population dynamics, Math. Comput. Modelling, 36 (2002), pp. 1319-1360.
-
(2002)
Math. Comput. Modelling
, vol.36
, pp. 1319-1360
-
-
LIU, S.1
CHEN, L.2
AGARWAL, R.3
-
25
-
-
1542540905
-
Some examples of persistence in epidemiological models
-
A. MARGHERI AND C. REBELO, Some examples of persistence in epidemiological models, J. Math. Biol., 46 (2003), pp. 564-570.
-
(2003)
J. Math. Biol
, vol.46
, pp. 564-570
-
-
MARGHERI, A.1
REBELO, C.2
-
26
-
-
84880990802
-
Compound matrices and ordinary differential equations
-
J. S. MULDOWNEY, Compound matrices and ordinary differential equations, Rocky Mountain J. Math., 20 (1990), pp. 857-872.
-
(1990)
Rocky Mountain J. Math
, vol.20
, pp. 857-872
-
-
MULDOWNEY, J.S.1
-
27
-
-
21144445436
-
Stage- structure models of uniform larval competition
-
Mathematical Ecology, Springer, Berlin
-
R. M. NISBET AND W. S. C. GURNEY, "Stage- structure" models of uniform larval competition, in Mathematical Ecology, Lecture Notes in Biomath. 54, Springer, Berlin, 1984, pp. 97-113.
-
(1984)
Lecture Notes in Biomath
, vol.54
, pp. 97-113
-
-
NISBET, R.M.1
GURNEY, W.S.C.2
-
28
-
-
0038948894
-
Stage structure models applied in evolutionary ecology
-
Ecology, S. A. Levin, T. G. Hallam, and L. J. Gross, eds, Springer, Berlin
-
R. M. NISBET, W. S. C GURNEY, AND J. A. J. METZ, Stage structure models applied in evolutionary ecology, in Applied Mathematical Ecology, S. A. Levin, T. G. Hallam, and L. J. Gross, eds., Springer, Berlin, 1989, pp. 428-449.
-
(1989)
Applied Mathematical
, pp. 428-449
-
-
NISBET, R.M.1
GURNEY, W.S.C.2
METZ, J.A.J.3
-
29
-
-
1642506426
-
-
Res. Notes in Math. 113, Pitman, London
-
N. H. PAVEL, Differential Equations, Flow Invariance, and Applications, Res. Notes in Math. 113, Pitman, London, 1984.
-
(1984)
Differential Equations, Flow Invariance, and Applications
-
-
PAVEL, N.H.1
-
31
-
-
4043147979
-
A flexible growth function for empirical use
-
F. J. RICHARDS, A flexible growth function for empirical use, J. Exp. Bot., 10 (1959), pp. 290-300.
-
(1959)
J. Exp. Bot
, vol.10
, pp. 290-300
-
-
RICHARDS, F.J.1
-
32
-
-
0015243940
-
Paradox of enrichment: Destabilization of exploitation systems in ecological time
-
M. R. ROSENZWEIG, Paradox of enrichment: Destabilization of exploitation systems in ecological time, Science, 171 (1969), pp. 385-387.
-
(1969)
Science
, vol.171
, pp. 385-387
-
-
ROSENZWEIG, M.R.1
-
33
-
-
38249035427
-
A classification theorem for three dimensional competitive systems
-
H. L. SMITH, A classification theorem for three dimensional competitive systems, J. Differential Equations, 70 (1987), pp. 325-332.
-
(1987)
J. Differential Equations
, vol.70
, pp. 325-332
-
-
SMITH, H.L.1
-
34
-
-
35348982202
-
Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems, Math
-
AMS, Providence, RI
-
H. L. SMITH, Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems, Math. Surveys Monogr. 41, AMS, Providence, RI, 1995.
-
(1995)
Surveys Monogr
, vol.41
-
-
SMITH, H.L.1
-
35
-
-
17444380577
-
Global dynamics of a population model with stage structure for predator
-
L. Chen, S. Ruan, and J. Zhu, eds, World Scientific, River Edge, NJ
-
W. WANG, Global dynamics of a population model with stage structure for predator, in Advanced Topics in Biomathematics, L. Chen, S. Ruan, and J. Zhu, eds., World Scientific, River Edge, NJ, 1997, pp. 253-257.
-
(1997)
Advanced Topics in Biomathematics
, pp. 253-257
-
-
WANG, W.1
-
36
-
-
0031124171
-
A predator-prey system with stage structure for predator
-
W. WANG AND L. CHEN, A predator-prey system with stage structure for predator, Comput. Math. Appl., 33 (1997), pp. 83-91.
-
(1997)
Comput. Math. Appl
, vol.33
, pp. 83-91
-
-
WANG, W.1
CHEN, L.2
-
37
-
-
0035888649
-
Permanence and stability of a stage-structured predator-prey model
-
W. WANG, G. MULONE, F. SALEMI, AND V. SALONE, Permanence and stability of a stage-structured predator-prey model, J. Math. Anal. Appl., 262 (2001), pp. 499-528.
-
(2001)
J. Math. Anal. Appl
, vol.262
, pp. 499-528
-
-
WANG, W.1
MULONE, G.2
SALEMI, F.3
SALONE, V.4
-
38
-
-
17444362955
-
Global stability of a predator-prey system with stage structure for the predator
-
Y. N. XIAO AND L. CHEN, Global stability of a predator-prey system with stage structure for the predator, Acta Math. Sin. (Engl. Ser.), 20 (2004), pp. 63-70.
-
(2004)
Acta Math. Sin. (Engl. Ser.)
, vol.20
, pp. 63-70
-
-
XIAO, Y.N.1
CHEN, L.2
-
39
-
-
0000888730
-
Stable periodic orbits for a class of three-dimensional competitive systems
-
H.-R. ZHU AND H. L. SMITH, Stable periodic orbits for a class of three-dimensional competitive systems, J. Differential Equations, 110 (1994), pp. 143-156.
-
(1994)
J. Differential Equations
, vol.110
, pp. 143-156
-
-
ZHU, H.-R.1
SMITH, H.L.2
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