메뉴 건너뛰기




Volumn 11, Issue 3, 2010, Pages 1819-1825

An exact global solution for the classical S I R S epidemic model

Author keywords

Exact solution; Modal expansion infinite series; S I R S epidemic model

Indexed keywords

ANALYTICAL APPROACH; ANALYTICAL SOLUTIONS; EPIDEMIC MODELS; EXACT SOLUTION; GLOBAL SOLUTIONS; INFINITE SERIES; INITIAL CONDITIONS; MODAL EXPANSION; ORTHOGONALITY RELATIONS; PARAMETER VALUES;

EID: 77950918483     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2009.04.007     Document Type: Article
Times cited : (28)

References (20)
  • 2
    • 0034486891 scopus 로고    scopus 로고
    • Mathematics of infectious diseases
    • Hethcote H.W. Mathematics of infectious diseases. SIAM Rev. 42 4 (2005) 599-653
    • (2005) SIAM Rev. , vol.42 , Issue.4 , pp. 599-653
    • Hethcote, H.W.1
  • 5
    • 77950918206 scopus 로고
    • Society for Industrial and Applied Mathematics, Philadelphia
    • Hoppensteadt F. Mathematical Theories of Populations: Demographic, Genetics and Epidemics. SIAM Regional Conference Series in Applied Mathematics vol. 20 (1975), Society for Industrial and Applied Mathematics, Philadelphia
    • (1975) SIAM Regional Conference Series in Applied Mathematics , vol.20
    • Hoppensteadt, F.1
  • 7
    • 72149083300 scopus 로고    scopus 로고
    • Stability analysis of a SIS model with stage structured and distributed maturation delay. Nonlinear Anal
    • in press
    • Chufen Wu, Peixuan Weng, Stability analysis of a SIS model with stage structured and distributed maturation delay. Nonlinear Anal. TMA, Corrected Proof, 2009 (in press)
    • (2009) TMA, Corrected Proof
    • Wu, C.1    Weng, P.2
  • 8
    • 45049087099 scopus 로고    scopus 로고
    • Non-standard numerical method for a mathematical model of RSV epidemiological transmission
    • Arenas A.J., Antonio Moran̂o J., Juan Carlos, and Cortés. Non-standard numerical method for a mathematical model of RSV epidemiological transmission. Comp. Math. Appl. 56 (2008) 670-678
    • (2008) Comp. Math. Appl. , vol.56 , pp. 670-678
    • Arenas, A.J.1    Antonio Moran ̂o, J.2    Juan Carlos3    Cortés4
  • 9
    • 32644432748 scopus 로고    scopus 로고
    • Solution of the epidemic model by adomian decomposition method
    • Biazar J. Solution of the epidemic model by adomian decomposition method. Appl. Math. Comput. 173 2 (2006) 1101-1106
    • (2006) Appl. Math. Comput. , vol.173 , Issue.2 , pp. 1101-1106
    • Biazar, J.1
  • 10
    • 55949114416 scopus 로고    scopus 로고
    • Nonstandard numerical methods for a mathematical model for influenza disease
    • Jódar L., Villanueva R.J., Arenas A.J., and González G.C. Nonstandard numerical methods for a mathematical model for influenza disease. Math. Comput. Simul. 79 3 (2008) 622-633
    • (2008) Math. Comput. Simul. , vol.79 , Issue.3 , pp. 622-633
    • Jódar, L.1    Villanueva, R.J.2    Arenas, A.J.3    González, G.C.4
  • 11
    • 33846570899 scopus 로고    scopus 로고
    • Adomian decomposition approach to a SIR epidemic model with constant vaccination strategy
    • Makinde O.D. Adomian decomposition approach to a SIR epidemic model with constant vaccination strategy. Appl. Math. Comput. 184 2 (2007) 842-848
    • (2007) Appl. Math. Comput. , vol.184 , Issue.2 , pp. 842-848
    • Makinde, O.D.1
  • 12
    • 34247266528 scopus 로고    scopus 로고
    • Solution of the epidemic model by homotopy perturbation method
    • Rafei M., Ganji D.D., and Daniali H. Solution of the epidemic model by homotopy perturbation method. Appl. Math. Comput. 187 2 (2007) 1056-1062
    • (2007) Appl. Math. Comput. , vol.187 , Issue.2 , pp. 1056-1062
    • Rafei, M.1    Ganji, D.D.2    Daniali, H.3
  • 14
    • 0034847341 scopus 로고    scopus 로고
    • Modeling epidemics caused by respiratory syncytial virus (rsv)
    • Weber A., Weber M., and Milligan P. Modeling epidemics caused by respiratory syncytial virus (rsv). Math. Biosci. 172 (2001) 95-113
    • (2001) Math. Biosci. , vol.172 , pp. 95-113
    • Weber, A.1    Weber, M.2    Milligan, P.3
  • 15
    • 44849110627 scopus 로고    scopus 로고
    • Modeling the spread of seasonal epidemiological diseases: Theory and applications
    • Jódar L., Villanueva R.J., and Arenas A. Modeling the spread of seasonal epidemiological diseases: Theory and applications. Math. Comput. Model. 48 (2008) 548-557
    • (2008) Math. Comput. Model. , vol.48 , pp. 548-557
    • Jódar, L.1    Villanueva, R.J.2    Arenas, A.3
  • 16
    • 43449103071 scopus 로고    scopus 로고
    • Existence of periodic solutions in a model of respiratory syncytial virus RSV
    • Arenas A.J., González G., and Jódar L. Existence of periodic solutions in a model of respiratory syncytial virus RSV. J. Math. Anal. Appl. 344 (2008) 969-980
    • (2008) J. Math. Anal. Appl. , vol.344 , pp. 969-980
    • Arenas, A.J.1    González, G.2    Jódar, L.3
  • 18
    • 51549102370 scopus 로고    scopus 로고
    • Hepatitis b in a high prevalence New Zealand population: A mathematical model applied to infection control policy
    • Thornley S., Bullen C., and Roberts M. Hepatitis b in a high prevalence New Zealand population: A mathematical model applied to infection control policy. J. Theoret. Biol. 254 3 (2008) 599-603
    • (2008) J. Theoret. Biol. , vol.254 , Issue.3 , pp. 599-603
    • Thornley, S.1    Bullen, C.2    Roberts, M.3
  • 19
    • 34547603444 scopus 로고    scopus 로고
    • Topological construction of transseries and introduction to generalized Borel summability
    • Costin O. Topological construction of transseries and introduction to generalized Borel summability. AMS CONM SERIES 373 (2005) 137
    • (2005) AMS CONM SERIES , vol.373 , pp. 137
    • Costin, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.