메뉴 건너뛰기




Volumn 25, Issue 5, 2005, Pages 1177-1184

Global stability of a SEIR epidemic model with infectious force in latent, infected and immune period

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; DISEASE CONTROL; EPIDEMIOLOGY; MEDICAL PROBLEMS; THEOREM PROVING;

EID: 18444376767     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.11.062     Document Type: Article
Times cited : (107)

References (29)
  • 1
    • 1542356002 scopus 로고    scopus 로고
    • Global analysis of SEI epidemic model with the constant inflows of different compartments
    • J. Zhang Global analysis of SEI epidemic model with the constant inflows of different compartments J Xi'an Jiaotong Univer 6 2003 653 656
    • (2003) J xi'An Jiaotong Univer , vol.6 , pp. 653-656
    • Zhang, J.1
  • 2
    • 4644282765 scopus 로고    scopus 로고
    • A kind of epidemic model having infectious force in both latent period and infected period
    • S.-L. Yuan A kind of epidemic model having infectious force in both latent period and infected period J Biomath 16 2001 392 398
    • (2001) J Biomath , vol.16 , pp. 392-398
    • Yuan, S.-L.1
  • 3
    • 1542380055 scopus 로고    scopus 로고
    • Global stability of an SEI epidemic model
    • G. Li, and Z. Jin Global stability of an SEI epidemic model Chaos, Solitions & Fractals 21 2004 925 931
    • (2004) Chaos, Solitions & Fractals , vol.21 , pp. 925-931
    • Li, G.1    Jin, Z.2
  • 4
    • 4644273929 scopus 로고    scopus 로고
    • Global stability of an SEI epidemic model with general contact rate
    • G. Li, and Z. Jin Global stability of an SEI epidemic model with general contact rate Chaos, Solitions & Fractals 23 2005 997 1004
    • (2005) Chaos, Solitions & Fractals , vol.23 , pp. 997-1004
    • Li, G.1    Jin, Z.2
  • 5
    • 0023907164 scopus 로고
    • Acquired immunity dependent upon exposure in an SIRS epidemic model
    • J.L. Aron Acquired immunity dependent upon exposure in an SIRS epidemic model Math Biosci 88 1988 37 47
    • (1988) Math Biosci , vol.88 , pp. 37-47
    • Aron, J.L.1
  • 6
    • 0026616167 scopus 로고
    • Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations
    • H.R. Thieme Epidemic and demographic interaction in the spread of potentially fatal diseases in growing populations Math Biosci 111 1992 99
    • (1992) Math Biosci , vol.111 , pp. 99
    • Thieme, H.R.1
  • 7
    • 0034976407 scopus 로고    scopus 로고
    • Models for transmission of disease with immigration of infectives
    • F. Brauer, and P. van den Driessche Models for transmission of disease with immigration of infectives Math Biosci 171 2001 143
    • (2001) Math Biosci , vol.171 , pp. 143
    • Brauer, F.1    Van Den Driessche, P.2
  • 8
    • 0026491804 scopus 로고
    • Dynamic models of infectious diseases as regulators of population sizes
    • J. Mena-Lorca, and H.W. Hethcote Dynamic models of infectious diseases as regulators of population sizes J Math Biol 30 1992 693
    • (1992) J Math Biol , vol.30 , pp. 693
    • Mena-Lorca, J.1    Hethcote, H.W.2
  • 9
    • 0041774225 scopus 로고
    • Epidemic models in populations of varying size
    • C. Castillo-Chavez S.A. Levin C. Mathematical approaches to problems in resource management and epidemiology, Shoemaker Springer
    • F. Brauer Epidemic models in populations of varying size C. Castillo-Chavez S.A. Levin C. Shoemaker Mathematical approaches to problems in resource management and epidemiology Lecture notes in biomathematics vol. 81 1989 Springer 109
    • (1989) Lecture Notes in Biomathematics , vol.81 , pp. 109
    • Brauer, F.1
  • 10
    • 0026444580 scopus 로고
    • Disease transmission models with density-dependent demographics
    • L.Q. Gao, and H.W. Hethcote Disease transmission models with density-dependent demographics J Math Biol 30 1992 717
    • (1992) J Math Biol , vol.30 , pp. 717
    • Gao, L.Q.1    Hethcote, H.W.2
  • 11
    • 0027008214 scopus 로고
    • Some threshold and stability results for epidemic models with a density dependent death rate
    • D. Greenhalgh Some threshold and stability results for epidemic models with a density dependent death rate Theor Pop Biol 42 1992 130
    • (1992) Theor Pop Biol , vol.42 , pp. 130
    • Greenhalgh, D.1
  • 12
    • 0024572669 scopus 로고
    • A competitive exclusion principle for pathogen virulence
    • H.J. Bremermann, and H.R. Thieme A competitive exclusion principle for pathogen virulence J Math Biol 27 1989 179
    • (1989) J Math Biol , vol.27 , pp. 179
    • Bremermann, H.J.1    Thieme, H.R.2
  • 13
    • 0025985745 scopus 로고
    • Some epidemiological models with nonlinear incidence
    • H.W. Hethcote, and P. van den Driessche Some epidemiological models with nonlinear incidence J Math Biol 29 1991 271
    • (1991) J Math Biol , vol.29 , pp. 271
    • Hethcote, H.W.1    Van Den Driessche, P.2
  • 14
    • 0027429258 scopus 로고
    • A disease transmission model in a non-constant population
    • W.R. Derrick, and P. van den Driessche A disease transmission model in a non-constant population J Math Biol 31 1993 495
    • (1993) J Math Biol , vol.31 , pp. 495
    • Derrick, W.R.1    Van Den Driessche, P.2
  • 15
    • 0025112636 scopus 로고
    • Analysis of a disease transmission model with varying population size
    • S. Busenberg, and P. van den Driessche Analysis of a disease transmission model with varying population size J Math Biol 29 1990 257
    • (1990) J Math Biol , vol.29 , pp. 257
    • Busenberg, S.1    Van Den Driessche, P.2
  • 16
    • 77957188668 scopus 로고
    • Some results for a SEIR epidemic model with density dependence in the death rate
    • D. Greenhalgh Some results for a SEIR epidemic model with density dependence in the death rate IMA J Math Appl Med Biol 9 1992 67
    • (1992) IMA J Math Appl Med Biol , vol.9 , pp. 67
    • Greenhalgh, D.1
  • 17
    • 0030318519 scopus 로고    scopus 로고
    • Analysis of an SEIRS epidemic model with two delays
    • K. Cooke, and P. van den Driessche Analysis of an SEIRS epidemic model with two delays J Math Biol 35 1996 240
    • (1996) J Math Biol , vol.35 , pp. 240
    • Cooke, K.1    Van Den Driessche, P.2
  • 18
    • 0030976773 scopus 로고    scopus 로고
    • Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity
    • D. Greenhalgh Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity Math Comput Model 25 1997 85
    • (1997) Math Comput Model , vol.25 , pp. 85
    • Greenhalgh, D.1
  • 19
    • 0028817626 scopus 로고
    • Global stability for the SEIR model in epidemiology
    • M.Y. Li, and J.S. Muldowney Global stability for the SEIR model in epidemiology Math Biosci 125 1995 155 164
    • (1995) Math Biosci , vol.125 , pp. 155-164
    • Li, M.Y.1    Muldowney, J.S.2
  • 20
    • 0032812296 scopus 로고    scopus 로고
    • Global dynamics of a SEIR model with a varying total population size
    • M.Y. Li, J.R. Graef, L.C. Wang, and J. Karsai Global dynamics of a SEIR model with a 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.C.3    Karsai, J.4
  • 21
    • 0036222772 scopus 로고    scopus 로고
    • Global dynamics of an SEIR epidemic model with vertical transmission
    • M.Y. Li, H.L. Smith, and L. Wang Global dynamics of an SEIR epidemic model with vertical transmission SIAM J Appl Math 62 2001 58
    • (2001) SIAM J Appl Math , vol.62 , pp. 58
    • Li, M.Y.1    Smith, H.L.2    Wang, L.3
  • 22
    • 0042828944 scopus 로고    scopus 로고
    • Global dynamics of an SEIR epidemic model with saturating contact rate
    • J. Zhang, and Z. Ma Global dynamics of an SEIR epidemic model with saturating contact rate Math Biosci 185 2003 15 32
    • (2003) Math Biosci , vol.185 , pp. 15-32
    • Zhang, J.1    Ma, Z.2
  • 23
    • 0021918995 scopus 로고
    • Introductory review. Some new thoughts about some old malaria models
    • J. Nedelman Introductory review. Some new thoughts about some old malaria models Math Biosci 73 1985 159 182
    • (1985) Math Biosci , vol.73 , pp. 159-182
    • Nedelman, J.1
  • 24
    • 84880990802 scopus 로고
    • Compound matrices and ordinary differential equations
    • J.S. Muldowney Compound matrices and ordinary differential equations [J] Rocky Mount J Math 20 1990 857 872
    • (1990) [J] Rocky Mount J Math , vol.20 , pp. 857-872
    • Muldowney, J.S.1
  • 26
    • 77952672921 scopus 로고
    • Convergence results and a trichotomy for asymptotically autonomous differential equations
    • H.R. Thieme Convergence results and a trichotomy for asymptotically autonomous differential equations J Math Biol 30 1992 755
    • (1992) J Math Biol , vol.30 , pp. 755
    • Thieme, H.R.1
  • 27
    • 4644337889 scopus 로고    scopus 로고
    • Global stability in some SEIR epidemic models
    • M.Y. Li, and L. Wang Global stability in some SEIR epidemic models IMA 126 2002 295 311
    • (2002) IMA , vol.126 , pp. 295-311
    • Li, M.Y.1    Wang, L.2
  • 28
    • 0023967009 scopus 로고
    • Systems of ordinary differential equations which generate an order preserving flow
    • H.L. Smith Systems of ordinary differential equations which generate an order preserving flow SIAM Rev 30 1988 87 113
    • (1988) SIAM Rev , vol.30 , pp. 87-113
    • Smith, H.L.1
  • 29
    • 0043076444 scopus 로고    scopus 로고
    • Nonautonomous SEIRS and Thron models for epidemiology and cell biology
    • G. Herzog Nonautonomous SEIRS and Thron models for epidemiology and cell biology Nonlinear Anal 5 2004 33 44
    • (2004) Nonlinear Anal , vol.5 , pp. 33-44
    • Herzog, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.