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Volumn 59, Issue 5, 1999, Pages 1867-1878

Dynamics of a predator-prey model

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS;

EID: 0342298388     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139997318457     Document Type: Article
Times cited : (189)

References (19)
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  • 5
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    • Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge
    • J. B. COLLINGS, Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge, Bull. Math. Biol., 57 (1995), pp. 63-76.
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    • Collings, J.B.1
  • 7
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    • Periodic Motions
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    • (1994) Applied Math. Sci. , vol.104
    • Farkas, M.1
  • 8
    • 0038652547 scopus 로고    scopus 로고
    • Limit cycles in the Holling-Tanner model
    • A. GASULL, R. E. KOOIJ, AND J. TORREGROSA, Limit cycles in the Holling-Tanner model, Publ. Mat., 41 (1997), pp. 149-167.
    • (1997) Publ. Mat. , vol.41 , pp. 149-167
    • Gasull, A.1    Kooij, R.E.2    Torregrosa, J.3
  • 10
    • 0001852425 scopus 로고
    • Small amplitude limit cycles for cubic systems
    • V. GUIÑEZ, E. SÁEZ, AND I. SZÁNTÓ, Small amplitude limit cycles for cubic systems, Canad. Math. Bull., 36 (1993), pp. 54-63.
    • (1993) Canad. Math. Bull. , vol.36 , pp. 54-63
    • Guiñez, V.1    Sáez, E.2    Szántó, I.3
  • 11
    • 0025073957 scopus 로고
    • Multiple limit cycles for predator-prey models
    • J. HOFBAUER AND J. W.-H. SO, Multiple limit cycles for predator-prey models, Math. Biosci., 99 (1990), pp. 71-75.
    • (1990) Math. Biosci. , vol.99 , pp. 71-75
    • Hofbauer, J.1    So, J.W.-H.2
  • 12
    • 0029325665 scopus 로고
    • Global stability for a class of predator-prey systems
    • S.-B. HSU AND T.-W. HUANG, Global stability for a class of predator-prey systems, SIAM J. Appl. Math., 55 (1995), pp. 763-783.
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 763-783
    • Hsu, S.-B.1    Huang, T.-W.2
  • 16
    • 0000857092 scopus 로고
    • Unfoldings of certain singularities of vector fields. Generalized Hopf bifurcations
    • F. TAKENS, Unfoldings of certain singularities of vector fields. Generalized Hopf bifurcations, J. Differential Equations, 14 (1973), pp. 476-493.
    • (1973) J. Differential Equations , vol.14 , pp. 476-493
    • Takens, F.1
  • 17
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    • Chapman and Hall, London
    • R. J. TAYLOR, Predation, Chapman and Hall, London, 1984.
    • (1984) Predation
    • Taylor, R.J.1
  • 18
    • 38249030117 scopus 로고
    • Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
    • D. J. WOLLKIND, J. B. COLLINGS, AND J. LOGAN, Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees, Bull. Math. Biol., 50 (1988), pp. 379-409.
    • (1988) Bull. Math. Biol. , vol.50 , pp. 379-409
    • Wollkind, D.J.1    Collings, J.B.2    Logan, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.