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Volumn 324, Issue 1, 2006, Pages 728-738

Permanence for the Michaelis-Menten type discrete three-species ratio-dependent food chain model with delay

Author keywords

Discrete predator prey model; Permanence; Ratio dependent

Indexed keywords


EID: 33748918355     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2005.12.060     Document Type: Article
Times cited : (11)

References (14)
  • 1
    • 0017110461 scopus 로고
    • Global stability in two species interactions
    • Goh B.S. Global stability in two species interactions. J. Math. Biol. 3 (1976) 313-318
    • (1976) J. Math. Biol. , vol.3 , pp. 313-318
    • Goh, B.S.1
  • 2
    • 0018194555 scopus 로고
    • Global stability in two species interactions
    • Hastings A. Global stability in two species interactions. J. Math. Biol. 5 (1978) 399-403
    • (1978) J. Math. Biol. , vol.5 , pp. 399-403
    • Hastings, A.1
  • 3
    • 0030098369 scopus 로고    scopus 로고
    • Stability and delays in a predator-prey systems
    • He X.Z. Stability and delays in a predator-prey systems. J. Math. Anal. Appl. 198 (1996) 355-370
    • (1996) J. Math. Anal. Appl. , vol.198 , pp. 355-370
    • He, X.Z.1
  • 4
    • 0037210844 scopus 로고    scopus 로고
    • A ratio-dependent food chain model and its applications to biological control
    • Hsu S.B., Hwang T.W., and Kuang Y. A ratio-dependent food chain model and its applications to biological control. Math. Biosci. 181 (2003) 55-83
    • (2003) Math. Biosci. , vol.181 , pp. 55-83
    • Hsu, S.B.1    Hwang, T.W.2    Kuang, Y.3
  • 5
    • 27144488524 scopus 로고    scopus 로고
    • Persistence and global stability for three-species ratio-dependent predator-prey system with time delays
    • (in Chinese)
    • Xu R., and Chen L.S. Persistence and global stability for three-species ratio-dependent predator-prey system with time delays. J. Systems Sci. Math. Sci. 21 2 (2001) 204-212 (in Chinese)
    • (2001) J. Systems Sci. Math. Sci. , vol.21 , Issue.2 , pp. 204-212
    • Xu, R.1    Chen, L.S.2
  • 6
    • 0035376255 scopus 로고    scopus 로고
    • Global analysis of the Michaelis-Menten type ratio-dependent predator-prey system
    • Hsu S.B., Hwang T.W., and Kuang Y. Global analysis of the Michaelis-Menten type ratio-dependent predator-prey system. J. Math. Biol. 42 (2001) 489-506
    • (2001) J. Math. Biol. , vol.42 , pp. 489-506
    • Hsu, S.B.1    Hwang, T.W.2    Kuang, Y.3
  • 7
    • 0035464834 scopus 로고    scopus 로고
    • Global dynamics of a ratio-dependent predator-prey system
    • Xiao D., and Ruan S. Global dynamics of a ratio-dependent predator-prey system. J. Math. Biol. 43 (2001) 268-290
    • (2001) J. Math. Biol. , vol.43 , pp. 268-290
    • Xiao, D.1    Ruan, S.2
  • 8
    • 12244251736 scopus 로고    scopus 로고
    • Periodic solution of a delayed ratio-dependent food chain model
    • Huo H.F., and Li W.T. Periodic solution of a delayed ratio-dependent food chain model. Taiwanese J. Math. 8 (2004) 211-222
    • (2004) Taiwanese J. Math. , vol.8 , pp. 211-222
    • Huo, H.F.1    Li, W.T.2
  • 11
    • 12244279986 scopus 로고    scopus 로고
    • Existence and global stability of periodic solutions of a discrete ratio-dependent food chain model with delay
    • Huo H.F., and Li W.T. Existence and global stability of periodic solutions of a discrete ratio-dependent food chain model with delay. Appl. Math. Comput. 162 (2005) 1333-1349
    • (2005) Appl. Math. Comput. , vol.162 , pp. 1333-1349
    • Huo, H.F.1    Li, W.T.2
  • 12
    • 7244261854 scopus 로고    scopus 로고
    • Permanence for a delayed discrete ratio-dependent predator-prey system with Holling type functional response
    • Fan Y.H., and Li W.T. Permanence for a delayed discrete ratio-dependent predator-prey system with Holling type functional response. J. Math. Anal. Appl. 299 (2004) 357-374
    • (2004) J. Math. Anal. Appl. , vol.299 , pp. 357-374
    • Fan, Y.H.1    Li, W.T.2
  • 14
    • 0029663443 scopus 로고    scopus 로고
    • Remarks on food chain dynamics
    • Kuznetsov Y.A., and Rinaldi S. Remarks on food chain dynamics. Math. Biosci. 134 (1996) 1-33
    • (1996) Math. Biosci. , vol.134 , pp. 1-33
    • Kuznetsov, Y.A.1    Rinaldi, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.