메뉴 건너뛰기




Volumn 12, Issue 9, 2006, Pages 937-948

Nonstandard finite-difference schemes for the Lotka-Volterra systems: Generalization of Mickens's method

Author keywords

Lotka Volterra system; Mickens' method; Nonstandard finite difference schemes; Predator prey system; Symplectic

Indexed keywords


EID: 33748681897     PISSN: 10236198     EISSN: 15635120     Source Type: Journal    
DOI: 10.1080/10236190600909380     Document Type: Article
Times cited : (23)

References (11)
  • 1
    • 0031997312 scopus 로고    scopus 로고
    • On the asymmetric May-Leonard model of three competing species
    • Chi, C.-W., Hsu, S.-B. and Wu, L.-I., 1998, On the asymmetric May-Leonard model of three competing species, SIAM Journal of Applied Mathematics, 58, 211-226.
    • (1998) SIAM Journal of Applied Mathematics , vol.58 , pp. 211-226
    • Chi, C.-W.1    Hsu, S.-B.2    Wu, L.-I.3
  • 2
    • 12944267799 scopus 로고    scopus 로고
    • An introduction to numerical integrators preserving physical properties
    • R. Mickens (Ed.). (New Jersey: World Scientific)
    • Gander, M.J. and Meyer-Spasche, R., 2000, An introduction to numerical integrators preserving physical properties, In: R. Mickens (Ed.) Applications of Nonstandard Finite Difference Schemes. Chapter 5. (New Jersey: World Scientific), pp. 181-243.
    • (2000) Applications of Nonstandard Finite Difference Schemes. Chapter 5 , pp. 181-243
    • Gander, M.J.1    Meyer-Spasche, R.2
  • 4
    • 0037401906 scopus 로고    scopus 로고
    • A nonstandard finite-difference scheme for the Lotka-Volterra system
    • Mickens, R.E., 2003, A nonstandard finite-difference scheme for the Lotka-Volterra system, Applied Numerical Mathematics, 45, 309-314.
    • (2003) Applied Numerical Mathematics , vol.45 , pp. 309-314
    • Mickens, R.E.1
  • 5
    • 5144222845 scopus 로고    scopus 로고
    • A note on Mickens's finite-difference scheme for the Lotka-Volterra system
    • Mounim, A.S. and de Dormale, B., 2004, A note on Mickens's finite-difference scheme for the Lotka-Volterra system, Applied Numerical Mathematics, 51, 341-344.
    • (2004) Applied Numerical Mathematics , vol.51 , pp. 341-344
    • Mounim, A.S.1    De Dormale, B.2
  • 9
    • 24144502874 scopus 로고    scopus 로고
    • A nonstandard discretization method for Lotka-Volterra models that preserves periodic solutions
    • Roeger, L.-I.W., 2005, A nonstandard discretization method for Lotka-Volterra models that preserves periodic solutions, Journal of Difference Equations and Applications, 11, 721-733.
    • (2005) Journal of Difference Equations and Applications , vol.11 , pp. 721-733
    • Roeger, L.-I.W.1
  • 11
    • 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.