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Volumn 10, Issue 4, 2009, Pages 451-458

On non-perturbative approach to transmission dynamics of infectious diseases with waning immunity

Author keywords

ADM; Epidemic model; Lyapunov function; Pad approximants; Vaccination coverage; VIM; Waning immunity

Indexed keywords


EID: 67249125385     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2009.10.4.451     Document Type: Article
Times cited : (13)

References (17)
  • 1
    • 0000487641 scopus 로고
    • New ideas for proving convergence of decomposition methods
    • K. Abboui, Y. Cherruault, New ideas for proving convergence of decomposition methods, Comput. Appl. Math., 29 (1995): 103-105.
    • (1995) Comput. Appl. Math , vol.29 , pp. 103-105
    • Abboui, K.1    Cherruault, Y.2
  • 3
    • 0012845358 scopus 로고
    • A global method for solution of complex systems
    • G. Adomian, G. E. Adomian, A global method for solution of complex systems, Math. Model, 5 (1984): 521-568.
    • (1984) Math. Model , vol.5 , pp. 521-568
    • Adomian, G.1    Adomian, G.E.2
  • 7
    • 0025112636 scopus 로고
    • Analysis of a disease transmission model in a population with varying size
    • S. Busenberg, P. van den Driessche, Analysis of a disease transmission model in a population with varying size, J. Math. Biol. 28 (1990): 257-270.
    • (1990) J. Math. Biol , vol.28 , pp. 257-270
    • Busenberg, S.1    van den Driessche, P.2
  • 9
    • 13644275724 scopus 로고    scopus 로고
    • Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate
    • Y. N. Kyrychko, K. B. Blyuss, Global properties of a delayed SIR model with temporary immunity and nonlinear incidence rate, Nonlinear Anal., 6 (2005): 495-507.
    • (2005) Nonlinear Anal , vol.6 , pp. 495-507
    • Kyrychko, Y.N.1    Blyuss, K.B.2
  • 11
    • 1642350077 scopus 로고    scopus 로고
    • Infection, reinfection, and vaccination under suboptimal immune protection: Epidemiological perspectives
    • M. G. M. Gomes, L. J. White, G. F. Medley, Infection, reinfection, and vaccination under suboptimal immune protection: epidemiological perspectives, J. Theor. Biol. 228 (2004): 539-549.
    • (2004) J. Theor. Biol , vol.228 , pp. 539-549
    • Gomes, M.G.M.1    White, L.J.2    Medley, G.F.3
  • 12
    • 0001100804 scopus 로고    scopus 로고
    • Padé approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain
    • J. Boyd, Padé approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain, Comput. Phys. 11 (1997) 299-303.
    • (1997) Comput. Phys , vol.11 , pp. 299-303
    • Boyd, J.1
  • 13
    • 0006996396 scopus 로고
    • General use of the Lagrange multiplier in nonlinear mathematical physics
    • Nemat-Nassed S, editor, Pergamon press
    • M. Inokuti, H. Sekine, T. Mura, General use of the Lagrange multiplier in nonlinear mathematical physics. In: Nemat-Nassed S, editor. Variational method in the mechanics of solids. Pergamon press (1978): 156-162.
    • (1978) Variational method in the mechanics of solids , pp. 156-162
    • Inokuti, M.1    Sekine, H.2    Mura, T.3
  • 14
    • 34748870677 scopus 로고    scopus 로고
    • Variational iteration method: New development and applications
    • J. H. He, X. H. Wu, Variational iteration method: New development and applications, Computers and Mathematics with Applications, 54 (2007): 881-894.
    • (2007) Computers and Mathematics with Applications , vol.54 , pp. 881-894
    • He, J.H.1    Wu, X.H.2
  • 15
    • 34250668369 scopus 로고    scopus 로고
    • Variational iteration method-Some recent results and new interpretations
    • J. H. He, Variational iteration method-Some recent results and new interpretations, J. Comput. Appl. Math., 207 (2007): 3-17.
    • (2007) J. Comput. Appl. Math , vol.207 , pp. 3-17
    • He, J.H.1
  • 16
    • 30344475545 scopus 로고    scopus 로고
    • Construction of solitary solution and compacton-like solution by variational iteration method
    • J. H. He, X. H. Wu, Construction of solitary solution and compacton-like solution by variational iteration method, Chaos Soliton. Fract., 29 (2006): 108-113.
    • (2006) Chaos Soliton. Fract , vol.29 , pp. 108-113
    • He, J.H.1    Wu, X.H.2
  • 17
    • 33645972898 scopus 로고    scopus 로고
    • Some asymptotic methods for strongly nonlinear equations
    • J. H. He, Some asymptotic methods for strongly nonlinear equations, Int. J. Mod. Phys. B, 20 (2006): 1141-1199.
    • (2006) Int. J. Mod. Phys. B , vol.20 , pp. 1141-1199
    • He, J.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.