-
2
-
-
67650417452
-
Epidemiology of dengue fever: A model with temporary cross-immunity and possible secondary infection shows bifurcations and chaotic behaviour in wide parameter regions
-
M. Aguiar, B.W. Kooi, and N. Stollenwerk, Epidemiology of dengue fever: A model with temporary cross-immunity and possible secondary infection shows bifurcations and chaotic behaviour in wide parameter regions,Math. Model. Nat. Phenom. 3 (2008), pp. 48-70.
-
(2008)
Math. Model. Nat. Phenom.
, vol.3
, pp. 48-70
-
-
Aguiar, M.1
Kooi, B.W.2
Stollenwerk, N.3
-
3
-
-
33750473405
-
Routes to chaos in high-dimensional dynamical systems: A qualitative numerical study
-
D. Albers and J. Sprott, Routes to chaos in high-dimensional dynamical systems: a qualitative numerical study, Physica D 223 (2006), pp. 194-207.
-
(2006)
Physica D
, vol.223
, pp. 194-207
-
-
Albers, D.1
Sprott, J.2
-
4
-
-
34147098564
-
Instabilities in multiserotype disease models with antibody-dependent enhancement
-
L. Billings, B.I. Schwartz, B.L. Shaw, M. McCrary, D.S. Burke, and T.A.D. Cummings, Instabilities in multiserotype disease models with antibody-dependent enhancement, J. Theoret. Biol. 246 (2007), pp. 18-27.
-
(2007)
J. Theoret. Biol.
, vol.246
, pp. 18-27
-
-
Billings, L.1
Schwartz, B.I.2
Shaw, B.L.3
McCrary, M.4
Burke, D.S.5
Cummings, T.A.D.6
-
5
-
-
0001842302
-
Homoclinic and heteroclinic orbits in a tri-trophic food chain
-
M.P. Boer, B.W. Kooi, and S.A.L.M. Kooijman, Homoclinic and heteroclinic orbits in a tri-trophic food chain, J. Math. Biol. 39 (1999), pp. 19-38.
-
(1999)
J. Math. Biol.
, vol.39
, pp. 19-38
-
-
Boer, M.P.1
Kooi, B.W.2
Kooijman, S.A.L.M.3
-
6
-
-
0035109332
-
Multiple attractors and boundary crises in a tri-trophic food chain
-
M.P. Boer, B.W. Kooi, and S.A.L.M. Kooijman, Multiple attractors and boundary crises in a tri-trophic food chain, Math. Biosci. 169 (2001), pp. 109-128.
-
(2001)
Math. Biosci.
, vol.169
, pp. 109-128
-
-
Boer, M.P.1
Kooi, B.W.2
Kooijman, S.A.L.M.3
-
7
-
-
0038194270
-
-
Tech. Rep.: Concordia University, Montreal, Canada, Available at
-
E.J. Doedel, R.C. Paffenroth, A.R. Champneys, T.F. Fairgrieve, Y.A. Kusnetsov, B. Sandstede, B. Oldeman, X.J. Wang, and C. Zhang, AUTO 07P - Continuation and bifurcation software for ordinary differential equations, Tech. Rep.: Concordia University, Montreal, Canada (2007). Available at http://indy.cs.concordia.ca/auto/
-
(2007)
AUTO 07P - Continuation and Bifurcation Software for Ordinary Differential Equations
-
-
Doedel, E.J.1
Paffenroth, R.C.2
Champneys, A.R.3
Fairgrieve, T.F.4
Kusnetsov, Y.A.5
Sandstede, B.6
Oldeman, B.7
Wang, X.J.8
Zhang, C.9
-
8
-
-
0028586236
-
Nonlinear time series analysis of empirical population dynamics
-
F.R. Drepper, R. Engbert, and N. Stollenwerk, Nonlinear time series analysis of empirical population dynamics, Ecol. Modelling 75/76 (1994), pp. 171-181.
-
(1994)
Ecol. Modelling
, vol.75-76
, pp. 171-181
-
-
Drepper, F.R.1
Engbert, R.2
Stollenwerk, N.3
-
9
-
-
6444240297
-
Liapunov exponents from time series
-
J.P. Eckmann, S. Oliffson-Kamphorst, D. Ruelle, and S. Ciliberto, Liapunov exponents from time series, Phys. Rev. A 34 (1986), pp. 4971-4979.
-
(1986)
Phys. Rev. A
, vol.34
, pp. 4971-4979
-
-
Eckmann, J.P.1
Oliffson-Kamphorst, S.2
Ruelle, D.3
Ciliberto, S.4
-
10
-
-
0033582170
-
The effect of antibody-dependent enhancement on the transmission dynamics and persistence of multiple-strain pathogens
-
N. Ferguson, R.Anderson, and S. Gupta, The effect of antibody-dependent enhancement on the transmission dynamics and persistence of multiple-strain pathogens, Proc. Natl. Acad. Sci. USA 96 (1999), pp. 790-794.
-
(1999)
Proc. Natl. Acad. Sci. USA
, vol.96
, pp. 790-794
-
-
Ferguson, N.1
Anderson, R.2
Gupta, S.3
-
12
-
-
0642287817
-
Neutralization and antibody-dependent enhancement of dengue viruses
-
S.B. Halstead, Neutralization and antibody-dependent enhancement of dengue viruses, Adv. Virus Res. 60 (2003), pp. 421-467.
-
(2003)
Adv. Virus Res.
, vol.60
, pp. 421-467
-
-
Halstead, S.B.1
-
14
-
-
13944264469
-
Consequence of symbiosis for food web dynamics
-
B.W. Kooi, L.D.J. Kuijper, and S.A.L.M. Kooijman, Consequence of symbiosis for food web dynamics, J. Math. Biol. 49 (2004), pp. 227-271.
-
(2004)
J. Math. Biol.
, vol.49
, pp. 227-271
-
-
Kooi, B.W.1
Kuijper, L.D.J.2
Kooijman, S.A.L.M.3
-
15
-
-
0003687338
-
-
3rd ed., Springer-Verlag, NewYork
-
Y.A.Kuznetsov, Elements of Applied Bifurcation Theory,Applied Mathematical Sciences, vol.112, 3rd ed., Springer-Verlag, NewYork, 2004.
-
(2004)
Elements of Applied Bifurcation Theory, Applied Mathematical Sciences
, vol.112
-
-
Kuznetsov, Y.A.1
-
16
-
-
37349086754
-
Scale-free network for a dengue epidemic
-
E. Massad, M. Chen, S. Ma, C.J. Struchiner, N. Stollenwerk, and M. Aguiar, Scale-free network for a dengue epidemic, Appl. Math. Comput. 159 (2008), pp. 376-381.
-
(2008)
Appl. Math. Comput.
, vol.159
, pp. 376-381
-
-
Massad, E.1
Chen, M.2
Ma, S.3
Struchiner, C.J.4
Stollenwerk, N.5
Aguiar, M.6
-
17
-
-
41149091148
-
Decreases in dengue transmission may act to increase the incidence of dengue hemorrhagic fever
-
Y. Nagao and K. Koelle, Decreases in dengue transmission may act to increase the incidence of dengue hemorrhagic fever, Proc. Natl. Acad. Sci. USA 105 (2008), pp. 2238-2243.
-
(2008)
Proc. Natl. Acad. Sci. USA
, vol.105
, pp. 2238-2243
-
-
Nagao, Y.1
Koelle, K.2
-
18
-
-
0003582543
-
-
Cambridge University Press, Cambridge
-
E. Ott, Chaos in Dynamical Systems, Cambridge University Press, Cambridge, 2002.
-
(2002)
Chaos in Dynamical Systems
-
-
Ott, E.1
-
19
-
-
0000905883
-
Identification of true and spurious Lyapunov exponents from time series
-
U. Parlitz, Identification of true and spurious Lyapunov exponents from time series, Int. J. Bifur. Chaos 2 (1992), pp. 155-165.
-
(1992)
Int. J. Bifur. Chaos
, vol.2
, pp. 155-165
-
-
Parlitz, U.1
-
21
-
-
18544412777
-
Evolution towards criticality in an epidemiological model for meningococcal disease
-
N. Stollenwerk and V.A.A. Jansen, Evolution towards criticality in an epidemiological model for meningococcal disease, Phys. Lett. A 317 (2003), pp. 87-96.
-
(2003)
Phys. Lett. A
, vol.317
, pp. 87-96
-
-
Stollenwerk, N.1
Jansen, V.A.A.2
-
22
-
-
3042800705
-
Diversity in pathogenicity can cause outbreaks of menigococcal disease
-
N. Stollenwerk, M.C.J. Maiden, andV.A.A. Jansen, Diversity in pathogenicity can cause outbreaks of menigococcal disease, Proc. Natl. Acad. Sci. USA 101 (2004), pp. 10229-10234.
-
(2004)
Proc. Natl. Acad. Sci. USA
, vol.101
, pp. 10229-10234
-
-
Stollenwerk, N.1
Maiden, M.C.J.2
Jansen, V.A.A.3
-
24
-
-
33746810174
-
Ecological and immunological determinants of dengue epidemics
-
H.J. Wearing and P. Rohani, Ecological and immunological determinants of dengue epidemics, Proc. Natl. Acad. Sci. USA 103 (2006), pp. 11802-11807.
-
(2006)
Proc. Natl. Acad. Sci. USA
, vol.103
, pp. 11802-11807
-
-
Wearing, H.J.1
Rohani, P.2
|