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Volumn 35, Issue 7, 1999, Pages 797-814

Asymptotic behavior for an SIS epidemic model and its approximation

Author keywords

Age structure; Asymptotic behavior; Discrete dynamical system; Epidemic models; Finite differences; Method of characteristics

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; EPIDEMIOLOGY; FINITE DIFFERENCE METHOD; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARTIAL DIFFERENTIAL EQUATIONS; POPULATION STATISTICS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0033102263     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00597-X     Document Type: Article
Times cited : (29)

References (9)
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    • 0000195264 scopus 로고
    • Global behavior of an age-structured epidemic model
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    • (1991) SIAM J. Math. Anal. , vol.22 , pp. 1065-1080
    • Busenberg, S.1    Iannelli, M.2    Thieme, H.3
  • 2
    • 0000059690 scopus 로고
    • Dynamics of an age-structured epidemic model
    • Dynamical Systems, Nankai series in Pure, S.-T. Liao, T.-R. Ding, Y.-Q. Ye (eds.), World Scientific, Singapore
    • S. Busenberg, M. Iannelli, H. Thieme, Dynamics of an age-structured epidemic model. Dynamical Systems, Nankai series in Pure, Applied Mathematics and Theoretical Physics, Vol. 4, S.-T. Liao, T.-R. Ding, Y.-Q. Ye (eds.), World Scientific, Singapore, 1993.
    • (1993) Applied Mathematics and Theoretical Physics , vol.4
    • Busenberg, S.1    Iannelli, M.2    Thieme, H.3
  • 3
    • 0000942360 scopus 로고
    • Analytical and numerical results for the age structured SIS epidemic model with mixed inter-intracohort transmission
    • M. Iannelli, F. Milner, A. Pugliese, Analytical and numerical results for the age structured SIS epidemic model with mixed inter-intracohort transmission. SIAM J. Math. Anal. 23 (1992) 662-688.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 662-688
    • Iannelli, M.1    Milner, F.2    Pugliese, A.3
  • 4
    • 0010936562 scopus 로고
    • A mathematical analysis of the SIS intracohort model with age-structure
    • ed. O. Arino, D. Axelrod, M. Kimmel and M. Langlais, Wuerz Publishing Ltd
    • M. Langlais, A mathematical analysis of the SIS intracohort model with age-structure. Mathematical Population Dynamics: Analysis of Heterogeneity, Theory of Epidemics, ed. O. Arino, D. Axelrod, M. Kimmel and M. Langlais, Vol. 1, Wuerz Publishing Ltd, 1995, pp. 103-117.
    • (1995) Mathematical Population Dynamics: Analysis of Heterogeneity, Theory of Epidemics , vol.1 , pp. 103-117
    • Langlais, M.1
  • 5
  • 6
    • 0348250155 scopus 로고
    • Applied Mathematics Monographs, Comitato Nazionale per le Scienze Matematiche, Consiglio Nazionale delle Ricerche (C.N.R.), Giardini-Pisa
    • M. Iannelli, Mathematical Theory of Age-Structured Population Dynamics, Vol. 7. Applied Mathematics Monographs, Comitato Nazionale per le Scienze Matematiche, Consiglio Nazionale delle Ricerche (C.N.R.), Giardini-Pisa, 1995.
    • (1995) Mathematical Theory of Age-Structured Population Dynamics , vol.7
    • Iannelli, M.1
  • 8
    • 0346857136 scopus 로고    scopus 로고
    • Splitting methods for the numerical approximation of some models of age-structured population dynamics and epidemiology
    • M. Iannelli, M.-Y. Kim, E.J. Park, Splitting methods for the numerical approximation of some models of age-structured population dynamics and epidemiology. Appl. Math. Comput. 87 (1997) 69-93.
    • (1997) Appl. Math. Comput. , vol.87 , pp. 69-93
    • Iannelli, M.1    Kim, M.-Y.2    Park, E.J.3
  • 9
    • 0021984692 scopus 로고
    • Stability of the endemic equilibrium in epidemic models with subpopulations
    • H. Hethcote, H.R. Thieme, Stability of the endemic equilibrium in epidemic models with subpopulations. Math. Biosci. 75 (1985) 205-227.
    • (1985) Math. Biosci. , vol.75 , pp. 205-227
    • Hethcote, H.1    Thieme, H.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.