메뉴 건너뛰기




Volumn 333, Issue 1 SPEC. ISS., 2007, Pages 430-449

Lie integrable cases of the simplified multistrain/two-stream model for tuberculosis and dengue fever

Author keywords

Lie group analysis; Mathematical epidemiology

Indexed keywords


EID: 34248188106     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.02.061     Document Type: Article
Times cited : (15)

References (16)
  • 1
    • 0031154662 scopus 로고    scopus 로고
    • To treat or not to treat: The case of tuberculosis
    • Castillo-Chavez C., and Feng Z. To treat or not to treat: The case of tuberculosis. J. Math. Biol. 35 (1997) 629-656
    • (1997) J. Math. Biol. , vol.35 , pp. 629-656
    • Castillo-Chavez, C.1    Feng, Z.2
  • 2
    • 0031137301 scopus 로고    scopus 로고
    • Competitive exclusion in a vector-host model for the dengue fever
    • Feng Z., and Velasco-Hernández J.X. Competitive exclusion in a vector-host model for the dengue fever. J. Math. Biol. 35 (1997) 523-544
    • (1997) J. Math. Biol. , vol.35 , pp. 523-544
    • Feng, Z.1    Velasco-Hernández, J.X.2
  • 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
    • 0038109005 scopus 로고    scopus 로고
    • Application of Lie group analysis to a mathematical model which describes HIV transmission
    • The Geometrical Study of Differential Equations. Leslie J.A., and Robart T.P. (Eds), Amer. Math. Soc., Providence, RI
    • Torrisi V., and Nucci M.C. Application of Lie group analysis to a mathematical model which describes HIV transmission. The Geometrical Study of Differential Equations. In: Leslie J.A., and Robart T.P. (Eds). Contemp. Math. vol. 285 (2001), Amer. Math. Soc., Providence, RI 11-20
    • (2001) Contemp. Math. , vol.285 , pp. 11-20
    • Torrisi, V.1    Nucci, M.C.2
  • 5
    • 33745898514 scopus 로고    scopus 로고
    • Application of Lie group analysis to a core group model for sexually transmitted diseases
    • Edwards M., and Nucci M.C. Application of Lie group analysis to a core group model for sexually transmitted diseases. J. Nonlinear Math. Phys. 13 (2006) 211-230
    • (2006) J. Nonlinear Math. Phys. , vol.13 , pp. 211-230
    • Edwards, M.1    Nucci, M.C.2
  • 6
    • 2442644184 scopus 로고    scopus 로고
    • Reduction of order for systems of ordinary differential equations
    • Soh C.W., and Mahomed F.M. Reduction of order for systems of ordinary differential equations. J. Nonlinear Math. Phys. 11 (2004) 13-20
    • (2004) J. Nonlinear Math. Phys. , vol.11 , pp. 13-20
    • Soh, C.W.1    Mahomed, F.M.2
  • 7
    • 0011272042 scopus 로고
    • Integration of third-order ordinary differential equations by Lie's method: Equations admitting three-dimensional Lie algebras
    • Ibragimov N.H., and Nucci M.C. Integration of third-order ordinary differential equations by Lie's method: Equations admitting three-dimensional Lie algebras. Lie Groups and Their Appl. 1 (1994) 49-64
    • (1994) Lie Groups and Their Appl. , vol.1 , pp. 49-64
    • Ibragimov, N.H.1    Nucci, M.C.2
  • 8
    • 0002772858 scopus 로고
    • A theory of exact and approximate configurational invariants
    • Hall L.S. A theory of exact and approximate configurational invariants. Phys. D 8 (1983) 90-105
    • (1983) Phys. D , vol.8 , pp. 90-105
    • Hall, L.S.1
  • 9
    • 0005231853 scopus 로고
    • Exact versus configurational invariants and a weak form of complete integrability
    • Sarlet W., Leach P.G.L., and Cantrijn F. Exact versus configurational invariants and a weak form of complete integrability. Phys. D 17 (1985) 87-98
    • (1985) Phys. D , vol.17 , pp. 87-98
    • Sarlet, W.1    Leach, P.G.L.2    Cantrijn, F.3
  • 10
    • 34248207107 scopus 로고    scopus 로고
    • M.C. Nucci, Interactive REDUCE programs for calculating classical, non-classical and Lie-Bäcklund symmetries for differential equations, Georgia Institute of Technology, Math. 062090-051, preprint, 1990
  • 15
    • 0002858793 scopus 로고
    • Second-order differential equations, Conditions of complete integrability
    • (translated by Harin AO)
    • Ermakov V. Second-order differential equations, Conditions of complete integrability. Univ. Izvest. Kiev Ser. III 9 (1880) 1-25 (translated by Harin AO)
    • (1880) Univ. Izvest. Kiev Ser. III , vol.9 , pp. 1-25
    • Ermakov, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.