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Volumn 11, Issue 8, 2005, Pages 721-733

A nonstandard discretization method for Lotka - Volterra models that preserves periodic solutions

Author keywords

Competition; Discrete time; Dynamically consistent; Hopf bifurcation; Lotka Volterra

Indexed keywords


EID: 24144502874     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: 10.1080/10236190500127612     Document Type: Article
Times cited : (17)

References (14)
  • 1
    • 0012701774 scopus 로고    scopus 로고
    • Non-standard discretization methods for some biological models
    • R. Mickens (Ed.) (New Jersey: World Scientific), Chapter 4
    • Al-Kahby, H., Dannan, F. and Elaydi, S., 2000, Non-standard discretization methods for some biological models, In: R. Mickens (Ed.) Applications of Nonstandard Finite Difference Schemes (New Jersey: World Scientific), Chapter 4, pp. 155-180.
    • (2000) Applications of Nonstandard Finite Difference Schemes , pp. 155-180
    • Al-Kahby, H.1    Dannan, F.2    Elaydi, S.3
  • 5
    • 43949156327 scopus 로고
    • Multiple limit cycles for three dimensional Lotka - Volterra equations
    • Hofbauer, J. and So, J.W.-H., 1994, Multiple limit cycles for three dimensional Lotka - Volterra equations, Applied Mathematics Letters, 7, 65-70.
    • (1994) Applied Mathematics Letters , vol.7 , pp. 65-70
    • Hofbauer, J.1    So, J.W.-H.2
  • 12
    • 0002274345 scopus 로고
    • An unconventional symplectic integrator of W. Kahan
    • Sanz-Serna, J.M., 1994, An unconventional symplectic integrator of W. Kahan, Applied Numerical Mathematics, 16, 245-250.
    • (1994) Applied Numerical Mathematics , vol.16 , pp. 245-250
    • Sanz-Serna, J.M.1
  • 13
    • 0001423908 scopus 로고
    • Introduction to applied nonlinear dynamical systems and chaos
    • (New York: Springer-Verlag)
    • Wiggins, S., 1990, Introduction to Applied Nonlinear Dynamical Systems and Chaos, volume 2 of Texts in Applied Mathematics (New York: Springer-Verlag).
    • (1990) Texts in Applied Mathematics , vol.2
    • Wiggins, S.1
  • 14
    • 0027796995 scopus 로고
    • Hopf bifurcations in competitive three-dimensional Lotka - Volterra systems
    • Zeeman, M.L., 1993, Hopf bifurcations in competitive three-dimensional Lotka - Volterra systems, Dynamics and Stability of Systems, 8, 189-217.
    • (1993) Dynamics and Stability of Systems , vol.8 , pp. 189-217
    • Zeeman, M.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.