메뉴 건너뛰기




Volumn 11, Issue 5, 2010, Pages 3479-3490

Global threshold property in an epidemic model for disease with latency spreading in a heterogeneous host population

Author keywords

Basic reproduction number; Epidemic model; Global stability; Heterogenous host; Latency; Lyapunov function

Indexed keywords

BASIC REPRODUCTION NUMBER; DISEASE-FREE EQUILIBRIUM; ENDEMIC EQUILIBRIUM; EPIDEMIC MODELS; GAMMA DISTRIBUTION; GLOBAL STABILITY; GLOBAL THRESHOLD; GLOBALLY ASYMPTOTICALLY STABLE; GROUPING TECHNIQUE; NATURAL DEATH; NON-NEGATIVE MATRIX; ORTHANT;

EID: 77955513015     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.12.008     Document Type: Article
Times cited : (41)

References (19)
  • 2
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infectious diseases
    • H.W. Hethcote The mathematics of infectious diseases SIAM Rev. 42 2000 599 653
    • (2000) SIAM Rev. , vol.42 , pp. 599-653
    • Hethcote, H.W.1
  • 4
    • 0842324733 scopus 로고    scopus 로고
    • Spatiotemporal dynamics of epidemics: Synchrony in metapopulation models
    • A.L. Lloyd, and V.A.A. Jansen Spatiotemporal dynamics of epidemics: Synchrony in metapopulation models Math. Biosci. 188 2004 1 16
    • (2004) Math. Biosci. , vol.188 , pp. 1-16
    • Lloyd, A.L.1    Jansen, V.A.A.2
  • 5
    • 0029980587 scopus 로고    scopus 로고
    • Spatial heterogeneity in epidemic models
    • A.L. Lloyd, and R.M. May Spatial heterogeneity in epidemic models J. Theoret. Biol. 179 1996 1 11
    • (1996) J. Theoret. Biol. , vol.179 , pp. 1-11
    • Lloyd, A.L.1    May, R.M.2
  • 7
    • 38049037455 scopus 로고    scopus 로고
    • Global stability of the endemic equilibrium of multigroup SIR epidemic models
    • H. Guo, M.Y. Li, and Z. Shuai Global stability of the endemic equilibrium of multigroup SIR epidemic models Can. Appl. Math. Q. 14 2006 259 284
    • (2006) Can. Appl. Math. Q. , vol.14 , pp. 259-284
    • Guo, H.1    Li, M.Y.2    Shuai, Z.3
  • 8
    • 34547744392 scopus 로고    scopus 로고
    • Stability analysis of within-host parasite models with delays
    • A. Iggidr, J. Mbang, and G. Sallet Stability analysis of within-host parasite models with delays Math. Biosci. 209 2007 51 75
    • (2007) Math. Biosci. , vol.209 , pp. 51-75
    • Iggidr, A.1    Mbang, J.2    Sallet, G.3
  • 9
    • 33847758592 scopus 로고    scopus 로고
    • Global analysis of new malaria intrahost models with a competitive exclusion principle
    • A. Iggidr, J.C. Kamgang, G. Sallet, and J.J. Tewa Global analysis of new malaria intrahost models with a competitive exclusion principle SIAM J. Appl. Math. 67 (2006 260 278
    • (2006) SIAM J. Appl. Math. , vol.67 , pp. 260-278
    • Iggidr, A.1    Kamgang, J.C.2    Sallet, G.3    Tewa, J.J.4
  • 10
    • 33847001630 scopus 로고    scopus 로고
    • Global dynamics of a stage progression model model for infectious diseases
    • H. Guo, and M.Y. Li Global dynamics of a stage progression model model for infectious diseases Math. Biosci. Eng. 3 2006 513 525
    • (2006) Math. Biosci. Eng. , vol.3 , pp. 513-525
    • Guo, H.1    Li, M.Y.2
  • 11
    • 34548816975 scopus 로고    scopus 로고
    • Global stability for a class of mass action systems allowing for latency in tuberculosis
    • C.C. McCluskey Global stability for a class of mass action systems allowing for latency in tuberculosis J. Math. Anal. Appl. 338 2008 518 535
    • (2008) J. Math. Anal. Appl. , vol.338 , pp. 518-535
    • McCluskey, C.C.1
  • 12
    • 68049121846 scopus 로고    scopus 로고
    • Global stability of two-group SIR model with random perturbation
    • J. Yu, D. Jiang, and N. Shi Global stability of two-group SIR model with random perturbation J. Math. Anal. Appl. 360 2009 235 244
    • (2009) J. Math. Anal. Appl. , vol.360 , pp. 235-244
    • Yu, J.1    Jiang, D.2    Shi, N.3
  • 13
    • 70449709108 scopus 로고    scopus 로고
    • Global stability of epidemiological models with group mixing and nonlinear incidence rates
    • Z. Yuan, and L. Wang Global stability of epidemiological models with group mixing and nonlinear incidence rates Nonlinear Anal. Real World Appl. 11 2010 995 1004
    • (2010) Nonlinear Anal. Real World Appl. , vol.11 , pp. 995-1004
    • Yuan, Z.1    Wang, L.2
  • 14
    • 0003270907 scopus 로고
    • Monotone dynamical systems, An introduction to the theory of competitive and cooperative systems
    • American Mathematical Society Providence, RI
    • H.L. Smith Monotone dynamical systems, An introduction to the theory of competitive and cooperative systems Mathematical Surveys and Monographs vol. 41 1995 American Mathematical Society Providence, RI
    • (1995) Mathematical Surveys and Monographs , vol.41
    • Smith, H.L.1
  • 15
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • P. van den Driessche, and J. Watmough Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission Math. Biosci. 180 2002 29 48
    • (2002) Math. Biosci. , vol.180 , pp. 29-48
    • Van Den Driessche, P.1    Watmough, J.2
  • 18


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.