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Volumn 9, Issue 4, 2008, Pages 1672-1679

Stability analysis for an epidemic model with stage structure

Author keywords

Basic reproduction number; Epidemic model; Equilibrium; Stability

Indexed keywords

ASYMPTOTIC STABILITY; DISEASES; MATHEMATICAL MODELS; MATRIX ALGEBRA; NONLINEAR ANALYSIS;

EID: 43649085510     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2007.05.002     Document Type: Article
Times cited : (22)

References (15)
  • 2
    • 43649099010 scopus 로고    scopus 로고
    • C. Castillo-Chavez, K. Cooke, W. Huang, S.A. Levin, The role of long periods of infectiousness in the dynamics of acquired immunodeficiency syndrome (AIDS), in: C. Castillo-Chavez, S.A. Levin, C. Shoemaker (Eds.), Mathematical Approaches to Problems in Resource Management and Epidemiology, Lecture Notes in Biomathematics, vol. 88, Springer, New York, 1989, pp. 177-189.
    • C. Castillo-Chavez, K. Cooke, W. Huang, S.A. Levin, The role of long periods of infectiousness in the dynamics of acquired immunodeficiency syndrome (AIDS), in: C. Castillo-Chavez, S.A. Levin, C. Shoemaker (Eds.), Mathematical Approaches to Problems in Resource Management and Epidemiology, Lecture Notes in Biomathematics, vol. 88, Springer, New York, 1989, pp. 177-189.
  • 3
    • 0036845274 scopus 로고    scopus 로고
    • Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
    • van den Driessche P., and Watmough J. 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
  • 4
    • 0032526469 scopus 로고    scopus 로고
    • Analysis of a dengue disease transmission model
    • Esteva L., and Vargas C. Analysis of a dengue disease transmission model. Math. Biosci. 150 (1998) 131-151
    • (1998) Math. Biosci. , vol.150 , pp. 131-151
    • Esteva, L.1    Vargas, C.2
  • 5
    • 33847001630 scopus 로고    scopus 로고
    • Global dynamics of a staged progression model for infectious diseases
    • Guo H., and Li M.Y. Global dynamics of a staged progression 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
  • 6
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infectious diseases
    • Hethcote H.W. The mathematics of infectious diseases. SIAM Rev. 42 (2000) 599-653
    • (2000) SIAM Rev. , vol.42 , pp. 599-653
    • Hethcote, H.W.1
  • 7
    • 43649084573 scopus 로고    scopus 로고
    • H.W. Hethcote, J.A. Yorke, Gonorrhea Transmission Dynamics and Control, Lecture Notes in Biomathematics, vol. 56, Springer, Berlin, 1984.
    • H.W. Hethcote, J.A. Yorke, Gonorrhea Transmission Dynamics and Control, Lecture Notes in Biomathematics, vol. 56, Springer, Berlin, 1984.
  • 8
    • 0033073528 scopus 로고    scopus 로고
    • The differential infectivity and staged progressing models for the transmission of HIV
    • Hyman J.M., Li J., and Stanley E.A. The differential infectivity and staged progressing models for the transmission of HIV. Math. Biosci. 155 (1999) 77-109
    • (1999) Math. Biosci. , vol.155 , pp. 77-109
    • Hyman, J.M.1    Li, J.2    Stanley, E.A.3
  • 9
    • 0017226769 scopus 로고
    • A deterministic model for gonorrhea in a nonhomogeneous population
    • Lajmanovich A., and Yorke J.A. A deterministic model for gonorrhea in a nonhomogeneous population. Math. Biosci. 28 (1976) 221-236
    • (1976) Math. Biosci. , vol.28 , pp. 221-236
    • Lajmanovich, A.1    Yorke, J.A.2
  • 10
    • 43649097332 scopus 로고    scopus 로고
    • J.P. LaSalle, The Stability of Dynamical Systems, Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, PA, 1976.
    • J.P. LaSalle, The Stability of Dynamical Systems, Regional Conference Series in Applied Mathematics, SIAM, Philadelphia, PA, 1976.
  • 11
    • 16244398668 scopus 로고    scopus 로고
    • Epidemiological models for mutating pathogens
    • Li J., Zhou Y., Ma Z., and Hyman J.M. Epidemiological models for mutating pathogens. SIAM J. Appl. Math. 65 (2004) 1-23
    • (2004) SIAM J. Appl. Math. , vol.65 , pp. 1-23
    • Li, J.1    Zhou, Y.2    Ma, Z.3    Hyman, J.M.4
  • 12
    • 0032812296 scopus 로고    scopus 로고
    • Global dynamics of a SEIR model with varying total population size
    • Li M.Y., Graef J.R., Wang L., and Karsai J. Global dynamics of a SEIR model with varying total population size. Math. Biosci. 160 (1999) 191-213
    • (1999) Math. Biosci. , vol.160 , pp. 191-213
    • Li, M.Y.1    Graef, J.R.2    Wang, L.3    Karsai, J.4
  • 14
    • 0038330387 scopus 로고    scopus 로고
    • Stability analysis for differential infectivity epidemic models
    • Ma Z., Liu J., and Li J. Stability analysis for differential infectivity epidemic models. Nonlinear Anal. Real World Appl. 4 (2003) 841-856
    • (2003) Nonlinear Anal. Real World Appl. , vol.4 , pp. 841-856
    • Ma, Z.1    Liu, J.2    Li, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.