-
2
-
-
32044454273
-
Chaotic coexistence in a top-predator mediated competitive exclusive web
-
Bockelman, B., Deng, B., Green, E., Hines, G., Lippitt, L. & Sherman, J. [2004] "Chaotic coexistence in a top-predator mediated competitive exclusive web," J. Dyn. Diff. Eq. 16, 1062-1092.
-
(2004)
J. Dyn. Diff. Eq.
, vol.16
, pp. 1062-1092
-
-
Bockelman, B.1
Deng, B.2
Green, E.3
Hines, G.4
Lippitt, L.5
Sherman, J.6
-
3
-
-
0000465402
-
Singular perturbation of relaxed periodic orbits
-
Bonet, C. [1987] "Singular perturbation of relaxed periodic orbits," J. D. E. 66, 301-339.
-
(1987)
J. D. E.
, vol.66
, pp. 301-339
-
-
Bonet, C.1
-
4
-
-
0020674680
-
An allometric approach to population cycles of mammals
-
Calder III, W. A. [1983a] "An allometric approach to population cycles of mammals," J. Theor. Biol. 100, 275-282.
-
(1983)
J. Theor. Biol.
, vol.100
, pp. 275-282
-
-
Calder III, W.A.1
-
5
-
-
0020870099
-
Ecological scaling: Mammals and birds
-
Calder III, W. A. [1983b] "Ecological scaling: Mammals and birds," Ann. Rev. Ecol. Syst. 14, 213-230.
-
(1983)
Ann. Rev. Ecol. Syst.
, vol.14
, pp. 213-230
-
-
Calder III, W.A.1
-
6
-
-
0032603032
-
Glucose-induced period-doubling cascade in the electrical activity of pancreatic β-cells
-
Deng, B. [1999] "Glucose-induced period-doubling cascade in the electrical activity of pancreatic β-cells," J. Math. Biol. 38, 21-78.
-
(1999)
J. Math. Biol.
, vol.38
, pp. 21-78
-
-
Deng, B.1
-
7
-
-
0035458186
-
Food chain chaos due to junction-fold point
-
Deng, B. [2001] "Food chain chaos due to junction-fold point," Chaos 11, 514-525.
-
(2001)
Chaos
, vol.11
, pp. 514-525
-
-
Deng, B.1
-
8
-
-
0036710119
-
Food chain chaos due to Shilnikov orbit
-
Deng, B. & Hines, G. [2002] "Food chain chaos due to Shilnikov orbit," Chaos 12, 533-538.
-
(2002)
Chaos
, vol.12
, pp. 533-538
-
-
Deng, B.1
Hines, G.2
-
9
-
-
0043210904
-
Food chain chaos due to transcritical point
-
Deng, B. & Hines, G. [2003] "Food chain chaos due to transcritical point," Chaos 13, 578-585.
-
(2003)
Chaos
, vol.13
, pp. 578-585
-
-
Deng, B.1
Hines, G.2
-
10
-
-
15044349622
-
Food chain chaos with canard explosion
-
Deng, B. [2004] "Food chain chaos with canard explosion," Chaos 14, 1083-1092.
-
(2004)
Chaos
, vol.14
, pp. 1083-1092
-
-
Deng, B.1
-
11
-
-
0003297685
-
Relaxation oscillations including a standard chase on French ducks
-
Springer Lecture Notes in Mathematics
-
Eckhaus, W. [1983] "Relaxation oscillations including a standard chase on French ducks," in Asymptotic Analysis II, Springer Lecture Notes in Mathematics, Vol. 985, pp. 449-494.
-
(1983)
Asymptotic Analysis II
, vol.985
, pp. 449-494
-
-
Eckhaus, W.1
-
12
-
-
34250627892
-
Geometric singular perturbation theory for ordinary differential equations
-
Fenichel, N. [1979] "Geometric singular perturbation theory for ordinary differential equations," J. Diff. Eq. 31, 53-98.
-
(1979)
J. Diff. Eq.
, vol.31
, pp. 53-98
-
-
Fenichel, N.1
-
13
-
-
0001299511
-
Spiral chaos in a predator-prey model
-
Gilpin, M. E. [1979] "Spiral chaos in a predator-prey model," Amer. Naturalist 113, 306-308.
-
(1979)
Amer. Naturalist
, vol.113
, pp. 306-308
-
-
Gilpin, M.E.1
-
14
-
-
0018146144
-
Interactive instruction on population interactions
-
Hogeweg, P. & Hesper, B. [1978] "Interactive instruction on population interactions," Comput. Biol. Med. 8, 319-327.
-
(1978)
Comput. Biol. Med.
, vol.8
, pp. 319-327
-
-
Hogeweg, P.1
Hesper, B.2
-
15
-
-
84880026161
-
Some characteristics of simple types of predation and parasitism
-
Rolling, C. S. [1959] "Some characteristics of simple types of predation and parasitism," Canadian Entomologist 91, 385-398.
-
(1959)
Canadian Entomologist
, vol.91
, pp. 385-398
-
-
Rolling, C.S.1
-
16
-
-
0016381277
-
Competitive coexistence of two predators utilizing the same prey under constant environmental conditions
-
Koch, A. L. [1974] "Competitive coexistence of two predators utilizing the same prey under constant environmental conditions," J. Theoret. Biol 44, 373-386.
-
(1974)
J. Theoret. Biol
, vol.44
, pp. 373-386
-
-
Koch, A.L.1
-
17
-
-
0034714171
-
Invading species can stabilize simple trophic systems
-
Kooi, B. W. & Kooijman, S. A. L. M. [2000] "Invading species can stabilize simple trophic systems," Ecol. Model. 133, 57-72.
-
(2000)
Ecol. Model.
, vol.133
, pp. 57-72
-
-
Kooi, B.W.1
Kooijman, S.A.L.M.2
-
18
-
-
0037429351
-
Relaxation oscillations in a class of predator-prey systems
-
Liu, W., Xiao, D. & Yi, Y. [2003] "Relaxation oscillations in a class of predator-prey systems," J. Diff. Eq. 188, 306-331.
-
(2003)
J. Diff. Eq.
, vol.188
, pp. 306-331
-
-
Liu, W.1
Xiao, D.2
Yi, Y.3
-
19
-
-
0345802631
-
Competition and stoichiometry: Coexistence of two predators on one prey
-
Loladze, I., Kuang, Y., Elser, J. J. & Fagan, W. F. [2004] "Competition and stoichiometry: Coexistence of two predators on one prey," Theor. Pop. Biol. 65, 1-15.
-
(2004)
Theor. Pop. Biol.
, vol.65
, pp. 1-15
-
-
Loladze, I.1
Kuang, Y.2
Elser, J.J.3
Fagan, W.F.4
-
21
-
-
0017185443
-
Simple mathematical models with very complicated dynamics
-
May, R. M. [1976] "Simple mathematical models with very complicated dynamics," Nature 261, 459-467.
-
(1976)
Nature
, vol.261
, pp. 459-467
-
-
May, R.M.1
-
22
-
-
0003724619
-
-
Monographs in Contemporary Mathematics (Consultants Bureau, NY)
-
Mishchenko, E. F., Kolesov, Yu. S., Kolesov, A. Yu. & Rozov, N. Kh. [1994] Asymptotic Methods in Singularly Perturbed Systems, Monographs in Contemporary Mathematics (Consultants Bureau, NY).
-
(1994)
Asymptotic Methods in Singularly Perturbed Systems
-
-
Mishchenko, E.F.1
Kolesov, Yu.S.2
Kolesov, A.Yu.3
Rozov, N.Kk.4
-
23
-
-
0027072404
-
Low- and high-frequency oscillations in three-dimensional food chain system
-
Muratori, S. & Rinaldi, S. [1992] "Low- and high-frequency oscillations in three-dimensional food chain system," SIAM J. Appl. Math. 52, 1688-1706.
-
(1992)
SIAM J. Appl. Math.
, vol.52
, pp. 1688-1706
-
-
Muratori, S.1
Rinaldi, S.2
-
25
-
-
0000898198
-
Asymptotic behavior of solutions of systems of differential equations with a small parameter at higher derivatives
-
in Russian
-
Pontryagin, L. C. [1957] "Asymptotic behavior of solutions of systems of differential equations with a small parameter at higher derivatives," Izv. Akad. Nauk. SSSR Ser. Math. 21, 605-626 (in Russian).
-
(1957)
Izv. Akad. Nauk. SSSR Ser. Math.
, vol.21
, pp. 605-626
-
-
Pontryagin, L.C.1
-
26
-
-
1642395722
-
Chaos in natural populations: Edge or wedge?
-
Rai, V. [2004] "Chaos in natural populations: Edge or wedge?" Ecol. Compl. 1, 127-138.
-
(2004)
Ecol. Compl.
, vol.1
, pp. 127-138
-
-
Rai, V.1
-
27
-
-
0001524523
-
Graphical representation and stability conditions of predator-prey interactions
-
Rosenzweig, M. L. & MacArthur, R. H. [1963] "Graphical representation and stability conditions of predator-prey interactions," Amer. Naturalist 97, 209-223.
-
(1963)
Amer. Naturalist
, vol.97
, pp. 209-223
-
-
Rosenzweig, M.L.1
MacArthur, R.H.2
-
28
-
-
0000348882
-
Persistent unstable equilibria and closed orbits of a singularly perturbed equation
-
Schecter, S. [1985] "Persistent unstable equilibria and closed orbits of a singularly perturbed equation," J. Diff. Eq. 60, 131-141.
-
(1985)
J. Diff. Eq.
, vol.60
, pp. 131-141
-
-
Schecter, S.1
-
29
-
-
0001119103
-
Notice sur la loi que la population suit dans son accroissement
-
Verhulst, P. F. [1838] "Notice sur la loi que la population suit dans son accroissement," Corr. Math, et Phys. 10, 113-121.
-
(1838)
Corr. Math, et Phys.
, vol.10
, pp. 113-121
-
-
Verhulst, P.F.1
-
30
-
-
0006170098
-
Fluctuations in the abundance of species, considered mathematically
-
Volterra, V. [1926] "Fluctuations in the abundance of species, considered mathematically," Nature 118, 558-560.
-
(1926)
Nature
, vol.118
, pp. 558-560
-
-
Volterra, V.1
|