-
1
-
-
0002366911
-
The functional response of predator to prey density and its role in mimicry and population regulation
-
Holling C.S. The functional response of predator to prey density and its role in mimicry and population regulation. Mem Ent Sec Can. 45:1965;1-60.
-
(1965)
Mem Ent Sec Can
, vol.45
, pp. 1-60
-
-
Holling, C.S.1
-
2
-
-
0001939137
-
Sulla teoria di volterra lotta per l'esistenza
-
Komogorov A. Sulla teoria di Volterra lotta per l'esistenza. Gi Inst Ital Attuari. 7:1936;74-80.
-
(1936)
Gi Inst Ital Attuari
, vol.7
, pp. 74-80
-
-
Komogorov, A.1
-
4
-
-
0001747368
-
Uniqueness of a limit cycle for a predator-prey system
-
Chen K. Uniqueness of a limit cycle for a predator-prey system. SIAM J Math Anal. 12:1981;541-548.
-
(1981)
SIAM J Math Anal
, vol.12
, pp. 541-548
-
-
Chen, K.1
-
5
-
-
0001500276
-
Periodic kolmogorov systems
-
Cushing J.M. Periodic Kolmogorov systems. SIAM J Math Anal. 13:1982;811-827.
-
(1982)
SIAM J Math Anal
, vol.13
, pp. 811-827
-
-
Cushing, J.M.1
-
6
-
-
0011893594
-
The existence and uniqueness of predator-prey differential equations
-
Chen L., Jing Z. The existence and uniqueness of predator-prey differential equations. Chin Sci Bull. 9:1984;521-523.
-
(1984)
Chin Sci Bull
, vol.9
, pp. 521-523
-
-
Chen, L.1
Jing, Z.2
-
7
-
-
0024448915
-
Conditions for uniqueness of limit cycles in general predator-prey systems
-
Huang X., Merriu S.J. Conditions for uniqueness of limit cycles in general predator-prey systems. Math Biosci. 96:1989;47-60.
-
(1989)
Math Biosci
, vol.96
, pp. 47-60
-
-
Huang, X.1
Merriu, S.J.2
-
8
-
-
0017431525
-
Periodic time-dependent predator-prey system
-
Cushing J.M. Periodic time-dependent predator-prey system. SIAM J Appl Math. 32:1977;82-95.
-
(1977)
SIAM J Appl Math
, vol.32
, pp. 82-95
-
-
Cushing, J.M.1
-
9
-
-
0019794241
-
Predator-prey models in periodically fluctuating environments
-
Bardi M. Predator-prey models in periodically fluctuating environments. J Math Biol. 12:1981;127-140.
-
(1981)
J Math Biol
, vol.12
, pp. 127-140
-
-
Bardi, M.1
-
10
-
-
0000721956
-
Scenarios leading to chaos in forced Lotka-Volterra model
-
Inoue M., Kamifukumoto H. Scenarios leading to chaos in forced Lotka-Volterra model. Progr Theor Phys. 71:1984;930-937.
-
(1984)
Progr Theor Phys
, vol.71
, pp. 930-937
-
-
Inoue, M.1
Kamifukumoto, H.2
-
11
-
-
0342726701
-
Periodic, quasiperiodic, and chaotic motion in a forced predator-prey ecosystem
-
Berlin: Akademie-Verlag
-
Levin R.W., Cock B.P., Markman G.S. Periodic, quasiperiodic, and chaotic motion in a forced predator-prey ecosystem. Dynamical systems and environmental models. 1987;Akademie-Verlag, Berlin. pp. 95-104.
-
(1987)
Dynamical systems and environmental models
, pp. 95-104
-
-
Levin, R.W.1
Cock, B.P.2
Markman, G.S.3
-
12
-
-
0002117043
-
Perceiving order in the chaos of nature
-
New Haven: Yale Univ Press
-
Schaffer W.M. Perceiving order in the chaos of nature. Evolution of life histories of mammals. 1988;Yale Univ Press, New Haven. pp. 313-350.
-
(1988)
Evolution of life histories of mammals
, pp. 313-350
-
-
Schaffer, W.M.1
-
13
-
-
0011807078
-
Chaos and phase-locking in predator-prey models in relation to functional response
-
Allen J.C. Chaos and phase-locking in predator-prey models in relation to functional response. Fla Entomol. 73:1990;100-110.
-
(1990)
Fla Entomol
, vol.73
, pp. 100-110
-
-
Allen, J.C.1
-
14
-
-
0027866299
-
Seasonality and chaos in a plankton-fish model
-
Doveri F., Kuznetsov Y., Muratori S., Rinaldi S., Scheffer M. Seasonality and chaos in a plankton-fish model. Theor Popul Biol. 43:1993;159-183.
-
(1993)
Theor Popul Biol
, vol.43
, pp. 159-183
-
-
Doveri, F.1
Kuznetsov, Y.2
Muratori, S.3
Rinaldi, S.4
Scheffer, M.5
-
15
-
-
0000201530
-
Complex dynamics in a model microbial system
-
Kot M., Sayler G.S., Schultz T.W. Complex dynamics in a model microbial system. Bull Math Biol. 54:1992;619-648.
-
(1992)
Bull Math Biol
, vol.54
, pp. 619-648
-
-
Kot, M.1
Sayler, G.S.2
Schultz, T.W.3
-
16
-
-
0026570272
-
Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies
-
Pavlou S., Kevrekidis I.G. Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies. Math Biosci. 108:1992;1-55.
-
(1992)
Math Biosci
, vol.108
, pp. 1-55
-
-
Pavlou, S.1
Kevrekidis, I.G.2
-
17
-
-
0027880626
-
Conditioned chaos in seasonally perturbed predator-prey models
-
Rinaldi S., Muratori S. Conditioned chaos in seasonally perturbed predator-prey models. Ecol Model. 69:1993;79-97.
-
(1993)
Ecol Model
, vol.69
, pp. 79-97
-
-
Rinaldi, S.1
Muratori, S.2
-
18
-
-
2942676278
-
Multiple, attractors, catastrophes, and chaos in seasonally perturbed predator-prey communities
-
Rinaldi S., Muratori S., Kuznetsov Y.A. Multiple, attractors, catastrophes, and chaos in seasonally perturbed predator-prey communities. Bull Math Biol. 55:1993;15-36.
-
(1993)
Bull Math Biol
, vol.55
, pp. 15-36
-
-
Rinaldi, S.1
Muratori, S.2
Kuznetsov, Y.A.3
-
19
-
-
0027338779
-
Chaos in a periodically forced predator-prey ecosystem model
-
Sabin G.C.W., Summers D. Chaos in a periodically forced predator-prey ecosystem model. Math Biosci. 113:1993;91-114.
-
(1993)
Math Biosci
, vol.113
, pp. 91-114
-
-
Sabin, G.C.W.1
Summers, D.2
-
20
-
-
0343462474
-
Categeories of chaos and fractal basin boundaries in forced predator-prey models
-
Vandermeer J., Stone L., Blasius B. Categeories of chaos and fractal basin boundaries in forced predator-prey models. Chaos, Solitons & Fractals. 12:2001;265-276.
-
(2001)
Chaos, Solitons & Fractals
, vol.12
, pp. 265-276
-
-
Vandermeer, J.1
Stone, L.2
Blasius, B.3
-
21
-
-
84971150711
-
On the stability of impulsively perturbed differential systems
-
Pandit S.G. On the stability of impulsively perturbed differential systems. Bull Austral Math Soc. 17:1977;423-432.
-
(1977)
Bull Austral Math Soc
, vol.17
, pp. 423-432
-
-
Pandit, S.G.1
-
22
-
-
0001962599
-
Stabling of systems described by differential equations containing impulses
-
Pavidis T. Stabling of systems described by differential equations containing impulses. IEEE Trans. AC-2:1967;43-45.
-
(1967)
IEEE Trans
, vol.AC-2
, pp. 43-45
-
-
Pavidis, T.1
-
23
-
-
0002219861
-
The second method of Liapunov for systems with impulsive effect
-
Simeonov P.S., Bainov D.D. The second method of Liapunov for systems with impulsive effect. Tamkang J Math. 16:1985;19-40.
-
(1985)
Tamkang J Math
, vol.16
, pp. 19-40
-
-
Simeonov, P.S.1
Bainov, D.D.2
-
24
-
-
0022755231
-
Stability with respect to part of the variables in systems with impulsive effect
-
Simeonov P.S., Bainov D.D. Stability with respect to part of the variables in systems with impulsive effect. J Math Anal Appl. 117:1986;247-263.
-
(1986)
J Math Anal Appl
, vol.117
, pp. 247-263
-
-
Simeonov, P.S.1
Bainov, D.D.2
-
25
-
-
38249022731
-
On the asymptotic stability of systems with impulses by direct method of Lyapunov
-
Kulev G.K., Bainov D.D. On the asymptotic stability of systems with impulses by direct method of Lyapunov. J Math Anal Appl. 140:1989;324-340.
-
(1989)
J Math Anal Appl
, vol.140
, pp. 324-340
-
-
Kulev, G.K.1
Bainov, D.D.2
-
28
-
-
0031750774
-
The dynamics of an infectious disease in a population with birth pulses
-
Roberts M.G., Kao R.R. The dynamics of an infectious disease in a population with birth pulses. Math. Biosci. 149:1998;23-36.
-
(1998)
Math Biosci
, vol.149
, pp. 23-36
-
-
Roberts, M.G.1
Kao, R.R.2
-
29
-
-
0347269498
-
Bifurcation of non-trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment
-
Lakmeche A., Arino O. Bifurcation of non-trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment. Dyn Cont Discr Impulsive Syst. 7:2000;265-287.
-
(2000)
Dyn Cont Discr Impulsive Syst
, vol.7
, pp. 265-287
-
-
Lakmeche, A.1
Arino, O.2
-
30
-
-
0342592535
-
A chaotic attractor in ecology: Theory and experimental data
-
Cushing J.M., Henson S.M., Desharnais R.A., Dennis B., Costantino R.F., King A. A chaotic attractor in ecology: theory and experimental data. Chaos, Solitons & Fractals. 12:2001;219-234.
-
(2001)
Chaos, Solitons & Fractals
, vol.12
, pp. 219-234
-
-
Cushing, J.M.1
Henson, S.M.2
Desharnais, R.A.3
Dennis, B.4
Costantino, R.F.5
King, A.6
-
31
-
-
0342592532
-
Cycles, chaos and noise in predator-prey dynamics
-
Kendall B.E. Cycles, chaos and noise in predator-prey dynamics. Chaos, Solitons & Fractals. 12:2001;321-332.
-
(2001)
Chaos, Solitons & Fractals
, vol.12
, pp. 321-332
-
-
Kendall, B.E.1
-
32
-
-
0343462476
-
Crisis-limited chaotics in ecological systems
-
Upadhyay R.K., Rai V. Crisis-limited chaotics in ecological systems. Chaos, Solitons & Fractals. 12:2001;205-218.
-
(2001)
Chaos, Solitons & Fractals
, vol.12
, pp. 205-218
-
-
Upadhyay, R.K.1
Rai, V.2
-
34
-
-
0016394337
-
Biological populations with nonoverlapping generations: Stable points, stable cycles, and chaos
-
May R.M. Biological populations with nonoverlapping generations: stable points, stable cycles, and chaos. Science. 186:1974;645-647.
-
(1974)
Science
, vol.186
, pp. 645-647
-
-
May, R.M.1
-
35
-
-
0000336301
-
Bifurcations and dynamic complexity in simple ecological models
-
May R.M., Oster G.F. Bifurcations and dynamic complexity in simple ecological models. Am Nature. 110:1976;573-599.
-
(1976)
Am Nature
, vol.110
, pp. 573-599
-
-
May, R.M.1
Oster, G.F.2
-
37
-
-
0012104775
-
Routes to chaos with special emphasis on period doubling
-
Iooss G. et al. Amsterdam: Elsevier North-Holland
-
Eckmann J.P. Routes to chaos with special emphasis on period doubling. Iooss G.et al. Chaotic behavior of deterministic systems. 1983;Elsevier North-Holland, Amsterdam.
-
(1983)
Chaotic behavior of deterministic systems
-
-
Eckmann, J.P.1
-
38
-
-
0034252135
-
Density-dependent vital rates and their population dynamic consequences
-
Neubert M.G., Caswell H. Density-dependent vital rates and their population dynamic consequences. J Math Biol. 41:2000;103-121.
-
(2000)
J Math Biol
, vol.41
, pp. 103-121
-
-
Neubert, M.G.1
Caswell, H.2
-
39
-
-
0035751986
-
From chaos to chaos. An analysis of a discrete age-structured prey-predator model
-
Wikan A. From chaos to chaos. An analysis of a discrete age-structured prey-predator model. J Math Biol. 43:2001;471-500.
-
(2001)
J Math Biol
, vol.43
, pp. 471-500
-
-
Wikan, A.1
-
40
-
-
0033531771
-
Dynamic complexities in Host-Parasitioid interaction
-
Kaitala V., Ylikarjula J., Heino M. Dynamic complexities in Host-Parasitioid interaction. J Theor Biol. 197:1999;331-341.
-
(1999)
J Theor Biol
, vol.197
, pp. 331-341
-
-
Kaitala, V.1
Ylikarjula, J.2
Heino, M.3
|