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Volumn 40, Issue 2, 2011, Pages 287-295

A fractional order SEIR model with density dependent death rate

Author keywords

Fractional derivative; Initial value problem; Numerical solution; SEIR model; Stability

Indexed keywords


EID: 80052720875     PISSN: 13035010     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (72)

References (15)
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    • Ahmed, E., El-Sayed, A.M.A. and El-Saka, H.A.A. On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rössler, Chua and Chen systems, Physics Letters A 358, 1-4, 2006.
    • (2006) Physics Letters A , vol.358 , pp. 1-4
    • Ahmed, E.1    El-Sayed, A.M.A.2    El-Saka, H.A.A.3
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    • Equilibrium points, stability and numerical solutions of fractional-order predatorprey and rabies models
    • Ahmed, E., El-Sayed, A.M.A. and El-Saka, H.A.A. Equilibrium points, stability and numerical solutions of fractional-order predatorprey and rabies models, JMAA 325, 542-553, 2007.
    • (2007) JMAA , vol.325 , pp. 542-553
    • Ahmed, E.1    El-Sayed, A.M.A.2    El-Saka, H.A.A.3
  • 4
    • 17844372193 scopus 로고    scopus 로고
    • Recent applications of fractional calculus to science and engineering
    • Debnath, L. Recent applications of fractional calculus to science and engineering, IJMMS 54, 3413-3442, 2003.
    • (2003) IJMMS , vol.54 , pp. 3413-3442
    • Debnath, L.1
  • 5
    • 0036650479 scopus 로고    scopus 로고
    • A predictor-corrector approach for the numerical solution of fractional differential equations
    • Diethelm, K, Ford, N. J. and Freed, A.D. A predictor-corrector approach for the numerical solution of fractional differential equations, Nonlinear Dynamics 29, 3-22, 2002.
    • (2002) Nonlinear Dynamics , vol.29 , pp. 3-22
    • Diethelm, K.1    Ford, N.J.2    Freed, A.D.3
  • 7
    • 17844395936 scopus 로고    scopus 로고
    • On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission
    • El-Sheikh, M.M.A. and El-Marouf, S.A.A. On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission, IJMMS 56, 2971-2987, 2004.
    • (2004) IJMMS , vol.56 , pp. 2971-2987
    • El-Sheikh, M.M.A.1    El-Marouf, S.A.A.2
  • 8
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    • The mathematics of infectious diseases
    • Hethcote, H. The mathematics of infectious diseases, SIAM Reviews 43 (4), 599-653, 2000.
    • (2000) SIAM Reviews , vol.43 , Issue.4 , pp. 599-653
    • Hethcote, H.1
  • 10
    • 34247154280 scopus 로고    scopus 로고
    • Global existence theory and chaos control of fractional differential equations
    • Lin, W. Global existence theory and chaos control of fractional differential equations, JMAA 332, 709-726, 2007.
    • (2007) JMAA , vol.332 , pp. 709-726
    • Lin, W.1
  • 11
    • 0002731965 scopus 로고    scopus 로고
    • Stability results for fractional differential equations with applications to control processing
    • in:, Lille, France
    • Matignon, D. Stability results for fractional differential equations with applications to control processing, in: Computational Eng. in Sys. Appl. 2 (Lille, France, 1996), p 963.
    • (1996) Computational Eng. in Sys. Appl. , vol.2 , pp. 963
    • Matignon, D.1
  • 13
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    • A mathematical model for endemic malaria with variable human and mosquito populations
    • Ngwa, G.A. and Shu, W. S. A mathematical model for endemic malaria with variable human and mosquito populations, Mathematical and Computer Modelling 32 (7-8), 747-763, 2000.
    • (2000) Mathematical and Computer Modelling , vol.32 , Issue.7-8 , pp. 747-763
    • Ngwa, G.A.1    Shu, W.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.