메뉴 건너뛰기




Volumn 29, Issue 7, 1999, Pages 31-43

Analysis of an age-dependent SIS epidemic model with vertical transmission and proportionate mixing assumption

Author keywords

Age structure; Epidemic; Horizontal transmission; Stability; Vertical transmission

Indexed keywords


EID: 0033118725     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(99)00060-6     Document Type: Article
Times cited : (12)

References (24)
  • 1
    • 0016586039 scopus 로고
    • Vectors and vertical transmissions: An epidemiologic perspective
    • 1. P.E.M. Fine, Vectors and vertical transmissions: An epidemiologic perspective, Annals N. Y. Academic Sci. 266, 173-194 (1979).
    • (1979) Annals N. Y. Academic Sci. , vol.266 , pp. 173-194
    • Fine, P.E.M.1
  • 2
    • 0017847896 scopus 로고
    • Towards a quantitative understanding of the epidemiology of keystone virus in the eastern United States
    • 2. P.E.M. Fine and J.W. LeDuc, Towards a quantitative understanding of the epidemiology of keystone virus in the eastern United States, Amer. J. Trop. Med. Hyg. 27, 322-338 (1978).
    • (1978) Amer. J. Trop. Med. Hyg. , vol.27 , pp. 322-338
    • Fine, P.E.M.1    LeDuc, J.W.2
  • 3
    • 0000153927 scopus 로고
    • Models of vertically transmitted diseases with sequential-continuous dynamics
    • Edited by V. Lakshmikantham, Academic Press, New York
    • 3. S.N. Busenberg and K.L. Cooke, Models of vertically transmitted diseases with sequential-continuous dynamics, In Nonlinear Phenomena in Mathematical Sciences, (Edited by V. Lakshmikantham), pp. 179-187, Academic Press, New York, (1982).
    • (1982) Nonlinear Phenomena in Mathematical Sciences , pp. 179-187
    • Busenberg, S.N.1    Cooke, K.L.2
  • 4
    • 0003198862 scopus 로고
    • Vertically transmitted diseases. Models and dynamics
    • Springer-Verlag, Berlin
    • 4. S.N. Busenberg and K.L. Cooke, Vertically transmitted diseases. Models and dynamics, In Biomathematics, Vol. 23, Springer-Verlag, Berlin, (1993).
    • (1993) Biomathematics , vol.23
    • Busenberg, S.N.1    Cooke, K.L.2
  • 5
    • 0023998825 scopus 로고
    • The population dynamics of two vertically transmitted infections
    • 5. S.N. Busenberg and K.L. Cooke, The population dynamics of two vertically transmitted infections, Theoretical Population Biology 33 (2), 181-198 (1988).
    • (1988) Theoretical Population Biology , vol.33 , Issue.2 , pp. 181-198
    • Busenberg, S.N.1    Cooke, K.L.2
  • 6
    • 0001594506 scopus 로고
    • Vertically transmitted diseases
    • Edited by V. Lakshmikantham, Academic Press, New York
    • 6. K.L. Cooke and S.N. Busenberg, Vertically transmitted diseases, In Nonlinear Phenomena in Mathematical Sciences, (Edited by V. Lakshmikantham), pp. 189-197, Academic Press, New York, (1983).
    • (1983) Nonlinear Phenomena in Mathematical Sciences, , pp. 189-197
    • Cooke, K.L.1    Busenberg, S.N.2
  • 7
    • 0020956947 scopus 로고
    • Analysis of a model of a vertically transmitted disease
    • 7. S.N. Busenberg, K.L. Cooke and M.A. Pozo, Analysis of a model of a vertically transmitted disease, J. Math. Biology 17, 305-329 (1983).
    • (1983) J. Math. Biology , vol.17 , pp. 305-329
    • Busenberg, S.N.1    Cooke, K.L.2    Pozo, M.A.3
  • 8
    • 0021227132 scopus 로고
    • Vertical transmission of diseases and population dynamics of insects with discrete generations
    • 8. J. Regniere, Vertical transmission of diseases and population dynamics of insects with discrete generations, J. Theor. Biol. 107, 287-301 (1984).
    • (1984) J. Theor. Biol. , vol.107 , pp. 287-301
    • Regniere, J.1
  • 9
    • 38249034482 scopus 로고
    • Analysis of nonlinear integro-differential equations arising in age-dependent epidemic models
    • 9. M. El-Doma, Analysis of nonlinear integro-differential equations arising in age-dependent epidemic models, Nonlinear Analysis TMA 11, 913-937 (1987).
    • (1987) Nonlinear Analysis TMA , vol.11 , pp. 913-937
    • El-Doma, M.1
  • 10
    • 0001761966 scopus 로고
    • Analysis of a general age-dependent vaccination model for a vertically transmitted disease
    • 10. M. El-Doma, Analysis of a general age-dependent vaccination model for a vertically transmitted disease, Nonlinear Times and Digest 2, 147-172 (1995).
    • (1995) Nonlinear Times and Digest , vol.2 , pp. 147-172
    • El-Doma, M.1
  • 14
    • 0001430464 scopus 로고
    • The population dynamics of microparasites and invertebrate hosts
    • 14. R.M. Anderson and R.M. May, The population dynamics of microparasites and invertebrate hosts, Philos. Trans. R. Soc. London, Ser. B 291, 451-524 (1981).
    • (1981) Philos. Trans. R. Soc. London, Ser. B , vol.291 , pp. 451-524
    • Anderson, R.M.1    May, R.M.2
  • 15
    • 0001023111 scopus 로고
    • Age dependent and vertical transmission of diseases
    • 15. S.N. Busenberg, Age dependent and vertical transmission of diseases, J. Modelling of Biomedical Systems, 239-242 (1986).
    • (1986) J. Modelling of Biomedical Systems , pp. 239-242
    • Busenberg, S.N.1
  • 16
    • 0000942360 scopus 로고
    • Analytical and numerical results for the age-structured SIS epidemic model with mixed inter-intracohort transmission
    • 16. M. Iannelli, F.A. Milner and A. Pugliese, Analytical and numerical results for the age-structured SIS epidemic model with mixed inter-intracohort transmission, SIAM J. Math. Anal. 23 (3), 662-688 (1992).
    • (1992) SIAM J. Math. Anal. , vol.23 , Issue.3 , pp. 662-688
    • Iannelli, M.1    Milner, F.A.2    Pugliese, A.3
  • 17
    • 0000059690 scopus 로고
    • Dynamics of an age-structured epidemic model
    • Edited by S.-T. Liao, Y.-Q. Ye and T.-R. Ding, World Scientific
    • 17. S.N. Busenberg, M. Iannelli and H. Thieme, Dynamics of an age-structured epidemic model, In Dynamical Systems, (Edited by S.-T. Liao, Y.-Q. Ye and T.-R. Ding), pp. 1-19, World Scientific, (1993).
    • (1993) Dynamical Systems , pp. 1-19
    • Busenberg, S.N.1    Iannelli, M.2    Thieme, H.3
  • 18
    • 0000620339 scopus 로고
    • Dynamics of childhood infections in high birthrate countries
    • 18. A. McLean, Dynamics of childhood infections in high birthrate countries, Lecture Notes in Biomathematics 65, 171-197 (1985).
    • (1985) Lecture Notes in Biomathematics , vol.65 , pp. 171-197
    • McLean, A.1
  • 19
    • 0021823575 scopus 로고
    • Proportionate mixing models for age-dependent infection transmission
    • 19. K. Dietz and D. Schenzle, Proportionate mixing models for age-dependent infection transmission, J. Math. Biology 22, 117-120 (1985).
    • (1985) J. Math. Biology , vol.22 , pp. 117-120
    • Dietz, K.1    Schenzle, D.2
  • 21
    • 0004004450 scopus 로고
    • Mathematical theory of population demographics, genetics and epidemics
    • Philadelphia, PA
    • 21. F. Hoppensteadt, Mathematical theory of population demographics, genetics and epidemics, CBMS-NSF Regional Conference in Applied Mathematics, Philadelphia, PA, (1975).
    • (1975) CBMS-NSF Regional Conference in Applied Mathematics
    • Hoppensteadt, F.1
  • 22
    • 0000572783 scopus 로고
    • On the integral equation of renewal theory
    • 22. W. Feller, On the integral equation of renewal theory, Ann. Math. Stat. 12, 243-267 (1941).
    • (1941) Ann. Math. Stat. , vol.12 , pp. 243-267
    • Feller, W.1
  • 23
    • 0000272544 scopus 로고
    • Endemic thresholds and stability in a class of age-structured epidemics
    • 23. S.N. Busenberg, K.L. Cooke and M. Iannelli, Endemic thresholds and stability in a class of age-structured epidemics, SIAM J. Appl. Math. 48 (6), 1379-1395 (1988).
    • (1988) SIAM J. Appl. Math. , vol.48 , Issue.6 , pp. 1379-1395
    • Busenberg, S.N.1    Cooke, K.L.2    Iannelli, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.