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Volumn 76, Issue 2-3, 1996, Pages 251-266

Non-perturbative analytical solution of the general Lotka-Volterra three-species system

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EID: 0001306265     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/0096-3003(95)00162-X     Document Type: Article
Times cited : (14)

References (12)
  • 1
    • 0017669613 scopus 로고
    • Exact solutions for a special prey-predator or competing species system
    • V. S. Varma, Exact solutions for a special prey-predator or competing species system, Bull. Math. Biol. 39:619-622 (1977).
    • (1977) Bull. Math. Biol. , vol.39 , pp. 619-622
    • Varma, V.S.1
  • 2
    • 0348178656 scopus 로고
    • On Varma's prey-predator problem
    • A. J. Wilson, On Varma's prey-predator problem, Bull. Math. Biol. 42:599-600 (1980).
    • (1980) Bull. Math. Biol. , vol.42 , pp. 599-600
    • Wilson, A.J.1
  • 3
    • 0020348856 scopus 로고
    • A note on exact solutions of two prey-predator equations
    • R. P. Burnside, A note on exact solutions of two prey-predator equations, Bull. Math. Biol 44:893-897 (1982).
    • (1982) Bull. Math. Biol , vol.44 , pp. 893-897
    • Burnside, R.P.1
  • 4
    • 38249036533 scopus 로고
    • Approximate analytical solution of general Lotka-Volterra equations
    • K. N. Murty and D. V. Rao, Approximate analytical solution of general Lotka-Volterra equations, J. Math. Anal Appl 122:582-588 (1987).
    • (1987) J. Math. Anal Appl , vol.122 , pp. 582-588
    • Murty, K.N.1    Rao, D.V.2
  • 5
    • 38249019975 scopus 로고
    • Approximate analytical solutions to the three-species ecological system
    • K. N. Murty, M. Srinivas, and K. Pavasad, Approximate analytical solutions to the three-species ecological system, J. Math. Anal Appl 145:89-99 (1990).
    • (1990) J. Math. Anal Appl , vol.145 , pp. 89-99
    • Murty, K.N.1    Srinivas, M.2    Pavasad, K.3
  • 9
    • 23644455020 scopus 로고    scopus 로고
    • Practical formulae for the calculus of multivariate Adomian polynomials
    • in publication
    • K. Abbaoui, Y. Cherruault, and V. Seng, Practical formulae for the calculus of multivariate Adomian polynomials, Mathl Comput. Modelling, in publication.
    • Mathl Comput. Modelling
    • Abbaoui, K.1    Cherruault, Y.2    Seng, V.3
  • 10
    • 0000487641 scopus 로고
    • New ideas for proving convergence of decomposition methods
    • K. Abbaoui and Y. Cherruault, New ideas for proving convergence of decomposition methods, Computers Math. Applic. 29 (7):103-108 (1995).
    • (1995) Computers Math. Applic. , vol.29 , Issue.7 , pp. 103-108
    • Abbaoui, K.1    Cherruault, Y.2
  • 11
    • 84970868898 scopus 로고
    • Convergence of Adomian's method
    • Y. Cherruault, Convergence of Adomian's method, Kybernetes, 18 (2):31-38 (1989).
    • (1989) Kybernetes , vol.18 , Issue.2 , pp. 31-38
    • Cherruault, Y.1
  • 12
    • 0000395259 scopus 로고
    • Decomposition method: A new proof of convergence
    • Y. Cherruault and G. Adomian, Decomposition method: A new proof of convergence, Mathl. and Comput. Modelling, 18 (12):103-106 (1993).
    • (1993) Mathl. and Comput. Modelling , vol.18 , Issue.12 , pp. 103-106
    • Cherruault, Y.1    Adomian, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.