메뉴 건너뛰기




Volumn 86, Issue 10-11, 2009, Pages 1867-1877

Torus bifurcations, isolas and chaotic attractors in a simple dengue fever model with ADE and temporary cross immunity

Author keywords

2 symmetry; Antibody dependent enhancement (ADE); Epidemiology; Lyapunov exponents; Numerical bifurcation analysis

Indexed keywords

ANTIBODY-DEPENDENT ENHANCEMENTS; CO-EXISTING ATTRACTORS; CONTINUATION METHOD; DETERMINISTIC CHAOS; DYNAMICAL STRUCTURE; EPIDEMIOLOGICAL MODELING; LYAPUNOV EXPONENT; NUMERICAL BIFURCATION ANALYSIS;

EID: 76249131779     PISSN: 00207160     EISSN: 10290265     Source Type: Journal    
DOI: 10.1080/00207160902783532     Document Type: Conference Paper
Times cited : (41)

References (24)
  • 2
    • 67650417452 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 5
    • 0001842302 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 8
    • 0028586236 scopus 로고
    • 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
  • 10
    • 0033582170 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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
  • 17
    • 41149091148 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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 scopus 로고    scopus 로고
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.