-
1
-
-
80052707832
-
The role of seasonality and import in a minimalistic multi-strain dengue model capturing differences between primary and secondary infections. complex dynamics and its implications for data analysis
-
Aguiar M., Ballesteros S., Kooi B.W., Stollenwerk N. The role of seasonality and import in a minimalistic multi-strain dengue model capturing differences between primary and secondary infections. complex dynamics and its implications for data analysis. J. Theor. Biol. 2011, 289:181-196. URL http://www.sciencedirect.com/science/article/pii/S0022519311004462. 10.1016/j.jtbi.2011.08.043.
-
(2011)
J. Theor. Biol.
, vol.289
, pp. 181-196
-
-
Aguiar, M.1
Ballesteros, S.2
Kooi, B.W.3
Stollenwerk, N.4
-
2
-
-
33645352212
-
Seasonality and the dynamics of infectious diseases
-
Altizer S., Dobson A., Hosseini P., Hudson P., Pascual M., Rohani P. Seasonality and the dynamics of infectious diseases. Ecol. Lett. 2006, 9(4):467-484. 10.1111/j.1461-0248.2005.00879.x.
-
(2006)
Ecol. Lett.
, vol.9
, Issue.4
, pp. 467-484
-
-
Altizer, S.1
Dobson, A.2
Hosseini, P.3
Hudson, P.4
Pascual, M.5
Rohani, P.6
-
3
-
-
0041529714
-
Transients and attractors in epidemics
-
Bauch C.T., Earn D.J.D. Transients and attractors in epidemics. Proc. Biol. Sci. 2003, 270(1524):1573-1578. 10.1098/rspb.2003.2410.
-
(2003)
Proc. Biol. Sci.
, vol.270
, Issue.1524
, pp. 1573-1578
-
-
Bauch, C.T.1
Earn, D.J.D.2
-
4
-
-
84892880997
-
The effects of seasonal forcing on invertebrate-disease interactions with immune priming
-
Best A. The effects of seasonal forcing on invertebrate-disease interactions with immune priming. Bull. Math. Biol. 2013, 75(11):2241-2256. 10.1007/s11538-013-9889-3.
-
(2013)
Bull. Math. Biol.
, vol.75
, Issue.11
, pp. 2241-2256
-
-
Best, A.1
-
5
-
-
56649091320
-
Allometric scaling and seasonality in the epidemics of wildlife diseases
-
Bolzoni L., Dobson A., Gatto M., De Leo G. Allometric scaling and seasonality in the epidemics of wildlife diseases. Am. Nat. 2008, 172(6):818-828.
-
(2008)
Am. Nat.
, vol.172
, Issue.6
, pp. 818-828
-
-
Bolzoni, L.1
Dobson, A.2
Gatto, M.3
De Leo, G.4
-
6
-
-
33750037356
-
Dynamics of infectious diseases and pulse vaccination. teasing apart the embedded resonance effects
-
Choisy M., Gugan J.F., Rohani P. Dynamics of infectious diseases and pulse vaccination. teasing apart the embedded resonance effects. Physica D 2006, 223(1):26-35.
-
(2006)
Physica D
, vol.223
, Issue.1
, pp. 26-35
-
-
Choisy, M.1
Gugan, J.F.2
Rohani, P.3
-
7
-
-
0001274780
-
Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization
-
Christiansen F., Rugh H.H. Computing Lyapunov spectra with continuous Gram-Schmidt orthonormalization. Nonlinearity 1997, 10(5):1063. URL http://stacks.iop.org/0951-7715/10/i=5/a=004.
-
(1997)
Nonlinearity
, vol.10
, Issue.5
, pp. 1063
-
-
Christiansen, F.1
Rugh, H.H.2
-
8
-
-
84897861453
-
The influence of increasing life expectancy on the dynamics of SIRS systems with immune boosting
-
Dafilis M.P., Frascoli F., Wood J.G., McCaw J.M. The influence of increasing life expectancy on the dynamics of SIRS systems with immune boosting. ANZIAM J. 2012, 54:50-63. 10.1017/S1446181113000023.
-
(2012)
ANZIAM J.
, vol.54
, pp. 50-63
-
-
Dafilis, M.P.1
Frascoli, F.2
Wood, J.G.3
McCaw, J.M.4
-
9
-
-
0001755071
-
AUTO. a program for the automatic bifurcation analysis of autonomous systems
-
Doedel E. AUTO. a program for the automatic bifurcation analysis of autonomous systems. Congr. Numer. 1981, 30:265-284.
-
(1981)
Congr. Numer.
, vol.30
, pp. 265-284
-
-
Doedel, E.1
-
10
-
-
0027866299
-
Seasonality and chaos in a plankton fish model
-
Doveri F., Scheffer M., Rinaldi S., Muratori S., Kuznetsov Y.A. Seasonality and chaos in a plankton fish model. Theor. Popul. Biol. 1993, 43(2):159-183.
-
(1993)
Theor. Popul. Biol.
, vol.43
, Issue.2
, pp. 159-183
-
-
Doveri, F.1
Scheffer, M.2
Rinaldi, S.3
Muratori, S.4
Kuznetsov, Y.A.5
-
11
-
-
0034723248
-
A simple model for complex dynamical transitions in epidemics
-
Earn D.J., Rohani P., Bolker B.M., Grenfell B.T. A simple model for complex dynamical transitions in epidemics. Science 2000, 287(5453):667-670. URL http://www.ncbi.nlm.nih.gov/pubmed/10650003.
-
(2000)
Science
, vol.287
, Issue.5453
, pp. 667-670
-
-
Earn, D.J.1
Rohani, P.2
Bolker, B.M.3
Grenfell, B.T.4
-
12
-
-
57249111948
-
Application of the 0-1 test for chaos to experimental data
-
Falconer I., Gottwald G., Melbourne I., Wormnes K. Application of the 0-1 test for chaos to experimental data. SIAM J. Appl. Dyn. Syst. 2007, 6(2):395-402. 10.1137/060672571.
-
(2007)
SIAM J. Appl. Dyn. Syst.
, vol.6
, Issue.2
, pp. 395-402
-
-
Falconer, I.1
Gottwald, G.2
Melbourne, I.3
Wormnes, K.4
-
14
-
-
27744608106
-
Testing for chaos in deterministic systems with noise
-
Gottwald G.A., Melbourne I. Testing for chaos in deterministic systems with noise. Physica D 2005, 212(1-2):100-110. 10.1016/j.physd.2005.09.011.
-
(2005)
Physica D
, vol.212
, Issue.1-2
, pp. 100-110
-
-
Gottwald, G.A.1
Melbourne, I.2
-
15
-
-
63049133335
-
On the implementation of the 0-1 test for chaos
-
Gottwald G.A., Melbourne I. On the implementation of the 0-1 test for chaos. SIAM J. Appl. Dyn. Syst. 2009, 8(1):129-145. 10.1137/080718851.
-
(2009)
SIAM J. Appl. Dyn. Syst.
, vol.8
, Issue.1
, pp. 129-145
-
-
Gottwald, G.A.1
Melbourne, I.2
-
16
-
-
67650723434
-
On the validity of the 0-1 test for chaos
-
Gottwald G.A., Melbourne I. On the validity of the 0-1 test for chaos. Nonlinearity 2009, 22(6):1367-1382. 10.1088/0951-7715/22/6/006.
-
(2009)
Nonlinearity
, vol.22
, Issue.6
, pp. 1367-1382
-
-
Gottwald, G.A.1
Melbourne, I.2
-
17
-
-
1142267538
-
External forcing of ecological and epidemiological systems. a resonance approach
-
Greenman J., Kamo M., Boots M. External forcing of ecological and epidemiological systems. a resonance approach. Physica D 2004, 190(1-2):136-151.
-
(2004)
Physica D
, vol.190
, Issue.1-2
, pp. 136-151
-
-
Greenman, J.1
Kamo, M.2
Boots, M.3
-
18
-
-
34250636321
-
Environmental forcing, invasion and control of ecological and epidemiological systems
-
Greenman J., Norman R. Environmental forcing, invasion and control of ecological and epidemiological systems. J. Theor. Biol. 2007, 247(3):492-506.
-
(2007)
J. Theor. Biol.
, vol.247
, Issue.3
, pp. 492-506
-
-
Greenman, J.1
Norman, R.2
-
19
-
-
79952987784
-
Phase control of resonant systems. interference, chaos and high periodicity
-
Greenman J., Pasour V. Phase control of resonant systems. interference, chaos and high periodicity. J. Theor. Biol. 2011, 278(1):74-86.
-
(2011)
J. Theor. Biol.
, vol.278
, Issue.1
, pp. 74-86
-
-
Greenman, J.1
Pasour, V.2
-
20
-
-
34547666538
-
Epidemiological effects of seasonal oscillations in birth rates
-
He D., Earn D. Epidemiological effects of seasonal oscillations in birth rates. Theor. Popul. Biol. 2007, 72(2):274-291.
-
(2007)
Theor. Popul. Biol.
, vol.72
, Issue.2
, pp. 274-291
-
-
He, D.1
Earn, D.2
-
21
-
-
37849044342
-
An in-host model of acute infection. measles as a case study
-
Heffernan J.M., Keeling M.J. An in-host model of acute infection. measles as a case study. Theor. Popul. Biol. 2008, 73(1):134-147. 10.1016/j.tpb.2007.10.003.
-
(2008)
Theor. Popul. Biol.
, vol.73
, Issue.1
, pp. 134-147
-
-
Heffernan, J.M.1
Keeling, M.J.2
-
22
-
-
66149160507
-
Implications of vaccination and waning immunity
-
Heffernan J.M., Keeling M.J. Implications of vaccination and waning immunity. Proc. Biol. Sci. 2009, 276(1664):2071-2080. 10.1098/rspb.2009.0057.
-
(2009)
Proc. Biol. Sci.
, vol.276
, Issue.1664
, pp. 2071-2080
-
-
Heffernan, J.M.1
Keeling, M.J.2
-
23
-
-
0033218990
-
The rainbow bridge. Hamiltonian limits and resonance in predator-prey dynamics
-
King A., Schaffer W. The rainbow bridge. Hamiltonian limits and resonance in predator-prey dynamics. J. Math. Biol. 1999, 39(5):439-469.
-
(1999)
J. Math. Biol.
, vol.39
, Issue.5
, pp. 439-469
-
-
King, A.1
Schaffer, W.2
-
24
-
-
0035105763
-
The geometry of a population cycle. a mechanistic model of snowshoe hare demography
-
King A., Schaffer W. The geometry of a population cycle. a mechanistic model of snowshoe hare demography. Ecology 2001, 82(3):814-830.
-
(2001)
Ecology
, vol.82
, Issue.3
, pp. 814-830
-
-
King, A.1
Schaffer, W.2
-
25
-
-
0027978417
-
Bifurcation analysis of periodic SEIR and SIR epidemic models
-
Kuznetsov Y., Piccardi C. Bifurcation analysis of periodic SEIR and SIR epidemic models. J. Math. Biol. 1994, 32(2):109-121.
-
(1994)
J. Math. Biol.
, vol.32
, Issue.2
, pp. 109-121
-
-
Kuznetsov, Y.1
Piccardi, C.2
-
28
-
-
79955561970
-
Natural immune boosting in pertussis dynamics and the potential for long-term vaccine failure
-
Lavine J.S., King A.A., Bjrnstad O.N. Natural immune boosting in pertussis dynamics and the potential for long-term vaccine failure. Proc. Natl. Acad. Sci. U.S.A. 2011, 108(17):7259-7264. 10.1073/pnas.1014394108.
-
(2011)
Proc. Natl. Acad. Sci. U.S.A.
, vol.108
, Issue.17
, pp. 7259-7264
-
-
Lavine, J.S.1
King, A.A.2
Bjrnstad, O.N.3
-
29
-
-
62649088403
-
Influenza seasonality. lifting the fog
-
Lipsitch M., Viboud C. Influenza seasonality. lifting the fog. Proc. Natl. Acad. Sci. U.S.A. 2009, 106(10):3645-3646. 10.1073/pnas.0900933106.
-
(2009)
Proc. Natl. Acad. Sci. U.S.A.
, vol.106
, Issue.10
, pp. 3645-3646
-
-
Lipsitch, M.1
Viboud, C.2
-
31
-
-
0027880626
-
Conditioned chaos in seasonally perturbed predator-prey models
-
Rinaldi S., Muratori S. Conditioned chaos in seasonally perturbed predator-prey models. Ecol. Model. 1993, 69(1-2):79-97.
-
(1993)
Ecol. Model.
, vol.69
, Issue.1-2
, pp. 79-97
-
-
Rinaldi, S.1
Muratori, S.2
-
32
-
-
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. 1993, 55(1):15-35.
-
(1993)
Bull. Math. Biol.
, vol.55
, Issue.1
, pp. 15-35
-
-
Rinaldi, S.1
Muratori, S.2
Kuznetsov, Y.A.3
-
33
-
-
0343026677
-
Sub-harmonic resonance and multi-annual oscillations in northern mammals. a non-linear dynamical systems perspective
-
Schaffer W., Pederson B., Moore B., Skarpaas O., King A., Bronnikova T. Sub-harmonic resonance and multi-annual oscillations in northern mammals. a non-linear dynamical systems perspective. Chaos Soliton Fract. 2001, 12(2):251-264.
-
(2001)
Chaos Soliton Fract.
, vol.12
, Issue.2
, pp. 251-264
-
-
Schaffer, W.1
Pederson, B.2
Moore, B.3
Skarpaas, O.4
King, A.5
Bronnikova, T.6
-
34
-
-
0031446525
-
Seasonal dynamics of daphnia and algae explained as a periodically forced predator-prey system
-
Scheffer M., Rinaldi S., Kuznetsov Y., Van Nes E. Seasonal dynamics of daphnia and algae explained as a periodically forced predator-prey system. Oikos 1997, 80(3):519-532.
-
(1997)
Oikos
, vol.80
, Issue.3
, pp. 519-532
-
-
Scheffer, M.1
Rinaldi, S.2
Kuznetsov, Y.3
Van Nes, E.4
-
35
-
-
84867741013
-
Effects of seasonal variation patterns on recurrent outbreaks in epidemic models
-
Tanaka G., Aihara K. Effects of seasonal variation patterns on recurrent outbreaks in epidemic models. J. Theor. Biol. 2013, 317:87-95.
-
(2013)
J. Theor. Biol.
, vol.317
, pp. 87-95
-
-
Tanaka, G.1
Aihara, K.2
-
36
-
-
84887496178
-
Seasonal forcing and multi-year cycles in interacting populations: lessons from a predator-prey model
-
Taylor R.A., Sherratt J.A., White A. Seasonal forcing and multi-year cycles in interacting populations: lessons from a predator-prey model. J. Math. Biol. 2012, 1-24. 10.1007/s00285-012-0612-z.
-
(2012)
J. Math. Biol.
, pp. 1-24
-
-
Taylor, R.A.1
Sherratt, J.A.2
White, A.3
-
37
-
-
13644280079
-
Effect of seasonality on the dynamics of 2 and 3 species prey-predator systems
-
Upadhyay R., Iyengar S. Effect of seasonality on the dynamics of 2 and 3 species prey-predator systems. Nonlinear Anal: Real World Appl. 2005, 6(3):509-530.
-
(2005)
Nonlinear Anal: Real World Appl.
, vol.6
, Issue.3
, pp. 509-530
-
-
Upadhyay, R.1
Iyengar, S.2
-
38
-
-
84859749049
-
An integrated strategy for prediction uncertainty analysis
-
Vanlier J., Tiemann C.A., Hilbers P.A., vanRiel N.A. An integrated strategy for prediction uncertainty analysis. Bioinformatics 2012, 28(8):1130-1135. 10.1093/bioinformatics/bts088.
-
(2012)
Bioinformatics
, vol.28
, Issue.8
, pp. 1130-1135
-
-
Vanlier, J.1
Tiemann, C.A.2
Hilbers, P.A.3
vanRiel, N.A.4
|