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Volumn 11, Issue 3, 2001, Pages 952-963

Long term behavior of solutions of the lotka-volterra system under small random perturbations

Author keywords

Predator prey coexistence; Stochastic differential equations

Indexed keywords


EID: 0035413567     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1015345354     Document Type: Article
Times cited : (95)

References (13)
  • 1
    • 0018662325 scopus 로고
    • The influence of external real and white noise on the Lotka-Volterra model
    • ARNOLD, L., HORSTHEMKE, W. and STUCKI, J. W. (1979). The influence of external real and white noise on the Lotka-Volterra model. Biomedical J. 21 451-471.
    • (1979) Biomedical J. , vol.21 , pp. 451-471
    • Arnold, L.1    Horsthemke, W.2    Stucki, J.W.3
  • 6
    • 0000182826 scopus 로고
    • On averaging principle for stochastic itô differential equations
    • KHASMINSKII, R. Z. (1968). On averaging principle for stochastic Itô differential equations. Kybernetika (Prague) 4 260-279.
    • (1968) Kybernetika (Prague) , vol.4 , pp. 260-279
    • Khasminskii, R.Z.1
  • 11
    • 0001417925 scopus 로고
    • Thermodynamics, real and complex periods of the Volterra model
    • ROTHE, F. (1985). Thermodynamics, real and complex periods of the Volterra model. Z. Angew. Math. Phys. 36 395-421.
    • (1985) Z. Angew. Math. Phys. , vol.36 , pp. 395-421
    • Rothe, F.1
  • 12
    • 0002604954 scopus 로고
    • Variazioni e fluttuazioni del numero d'individui in specie d'animali conviventi
    • VOLTERRA, V. (1926). Variazioni e fluttuazioni del numero d'individui in specie d'animali conviventi. Mem. Acad. Lincei 2 31-113.
    • (1926) Mem. Acad. Lincei , vol.2 , pp. 31-113
    • Volterra, V.1
  • 13
    • 0007206523 scopus 로고
    • The period in the Lotka-Volterra system is monotonic
    • WALDVOGEL, J. (1985). The period in the Lotka-Volterra system is monotonic. J. Math. Anal. Appl.
    • (1985) J. Math. Anal. Appl.
    • Waldvogel, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.