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Volumn 149, Issue 3, 2004, Pages 689-702

Analysis of an epidemic model with bistable equilibria using the Poincaré index

Author keywords

Basic reproductive number; Epidemic models; Equilibria; Poincar index; Positively invariant; Stability

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTER SIMULATION; MATHEMATICAL MODELS; NUMBER THEORY; VECTORS;

EID: 0347758641     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(03)00171-1     Document Type: Article
Times cited : (28)

References (11)
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    • Global stability of a two-stage epidemic model with generalized non-linear incidence
    • Moghadas S.M., Gumel A.B. Global stability of a two-stage epidemic model with generalized non-linear incidence. Math. Comput. Simulation. 60(1-2):2002;107-118.
    • (2002) Math. Comput. Simulation , vol.60 , Issue.1-2 , pp. 107-118
    • Moghadas, S.M.1    Gumel, A.B.2
  • 4
    • 0034078757 scopus 로고    scopus 로고
    • Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity
    • Greenhalgh D., Diekmann O., de Jong M.C.M. Subcritical endemic steady states in mathematical models for animal infections with incomplete immunity. Math. Biosci. 165(1):2000;1-25.
    • (2000) Math. Biosci. , vol.165 , Issue.1 , pp. 1-25
    • Greenhalgh, D.1    Diekmann, O.2    De Jong, M.C.M.3
  • 5
    • 0038521431 scopus 로고    scopus 로고
    • A qualitative study of a vaccination model with non-linear incidence
    • in press
    • A.B. Gumel, S.M. Moghadas, A qualitative study of a vaccination model with non-linear incidence, Appl. Math. Comput., in press.
    • Appl. Math. Comput.
    • Gumel, A.B.1    Moghadas, S.M.2
  • 6
    • 0041784693 scopus 로고    scopus 로고
    • A stereological version of the Gauss-Bonnet formula
    • Gual-Arnau X., Nuño-Ballesteros J.J. A stereological version of the Gauss-Bonnet formula. Geom. Dedicata. 84:2001;253-260.
    • (2001) Geom. Dedicata , vol.84 , pp. 253-260
    • Gual-Arnau, X.1    Nuño-Ballesteros, J.J.2
  • 7
    • 0042285763 scopus 로고    scopus 로고
    • The Gauss-Bonnet for hyperbolic manifolds of finite volume
    • Kellerhals R., Zehrt T. The Gauss-Bonnet for hyperbolic manifolds of finite volume. Geom. Dedicata. 84:2001;49-62.
    • (2001) Geom. Dedicata , vol.84 , pp. 49-62
    • Kellerhals, R.1    Zehrt, T.2
  • 10
    • 0023070210 scopus 로고
    • Dynamical behaviour of epidemiological models with nonlinear incidence rates
    • Liu W.M., Hetchote H.W., Levin S.A. Dynamical behaviour of epidemiological models with nonlinear incidence rates. J. Math. Biol. 25:1987;359-380.
    • (1987) J. Math. Biol. , vol.25 , pp. 359-380
    • Liu, W.M.1    Hetchote, H.W.2    Levin, S.A.3
  • 11
    • 0022298258 scopus 로고
    • Influence of nonlinear incidence rates upon the behaviour of SIRS epidemiological models
    • Liu W.M., Hetchote H.W., Levin S.A. Influence of nonlinear incidence rates upon the behaviour of SIRS epidemiological models. J. Math. Biol. 23:1986;187-204.
    • (1986) J. Math. Biol. , vol.23 , pp. 187-204
    • Liu, W.M.1    Hetchote, H.W.2    Levin, S.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.