메뉴 건너뛰기




Volumn 41, Issue 13, 2005, Pages 1445-1455

Stability and bifurcation in a non-kolmogorov type prey-predator system with time delay

Author keywords

Hopf bifurcation; Periodic solutions; Prey predator system; Stability; Time delay

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; STABILITY; THEOREM PROVING;

EID: 27144487509     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2004.02.038     Document Type: Article
Times cited : (4)

References (13)
  • 1
    • 0035281981 scopus 로고    scopus 로고
    • Absolute stability, conditional stability and bifurcation in kolmogorov-type predator-prey systems with discrete delays
    • S. Ruan Absolute stability, conditional stability and bifurcation in kolmogorov-type predator-prey systems with discrete delays Quarterly of Applied Mathematics 59 2001 159 173
    • (2001) Quarterly of Applied Mathematics , vol.59 , pp. 159-173
    • Ruan, S.1
  • 2
    • 1342339144 scopus 로고    scopus 로고
    • Stability and global Hopf bifurcation for a neutral differential equation
    • J. Wei, and S. Ruan Stability and global Hopf bifurcation for a neutral differential equation Acta Mathematica Sinica 45 2002 93 104
    • (2002) Acta Mathematica Sinica , vol.45 , pp. 93-104
    • Wei, J.1    Ruan, S.2
  • 3
    • 0030589781 scopus 로고    scopus 로고
    • Convergence results in a well known delayed predator-prey system
    • E. Beretta, and Y. Kuang Convergence results in a well known delayed predator-prey system J. Math. Anal. Appl. 204 1996 840 853
    • (1996) J. Math. Anal. Appl. , vol.204 , pp. 840-853
    • Beretta, E.1    Kuang, Y.2
  • 4
    • 0017431525 scopus 로고
    • Periodic time-dependent predator-prey system
    • J.M. Cushing Periodic time-dependent predator-prey system SIAM J. Appl. Math. 32 1977 82 95
    • (1977) SIAM J. Appl. Math. , vol.32 , pp. 82-95
    • Cushing, J.M.1
  • 5
    • 0018610933 scopus 로고
    • Global stability of predator-prey interaction
    • G.W. Harrison Global stability of predator-prey interaction J. Math. Biol. 8 1979 159 171
    • (1979) J. Math. Biol. , vol.8 , pp. 159-171
    • Harrison, G.W.1
  • 7
    • 34347187625 scopus 로고
    • Sur le problem biologique hereditaire de deux especes devorante et devore
    • M. Brelot Sur le problem biologique hereditaire de deux especes devorante et devore Ann. Mat. Pura Appl. 9 1931 58 74
    • (1931) Ann. Mat. Pura Appl. , vol.9 , pp. 58-74
    • Brelot, M.1
  • 9
    • 0001813929 scopus 로고
    • On theoretical models for competitive and predatory biological systems
    • M.S. Bartlett On theoretical models for competitive and predatory biological systems Biometrika 44 1957 27 42
    • (1957) Biometrika , vol.44 , pp. 27-42
    • Bartlett, M.S.1
  • 10
    • 0001519022 scopus 로고
    • Time lag in prey-predator population models
    • P.J. Wangersky, and W.J. Cunningham Time lag in prey-predator population models Ecology 38 1957 136 139
    • (1957) Ecology , vol.38 , pp. 136-139
    • Wangersky, P.J.1    Cunningham, W.J.2
  • 11
    • 35949030757 scopus 로고
    • On the Wolterra and other nonlinear nodels of interacting populations
    • N.S. Goel, S.C. Maitra, and E.W. Montroll On the Wolterra and other nonlinear nodels of interacting populations Rev. Modern Phys. 43 1971 231 276
    • (1971) Rev. Modern Phys. , vol.43 , pp. 231-276
    • Goel, N.S.1    Maitra, S.C.2    Montroll, E.W.3
  • 12
    • 0000209631 scopus 로고
    • Discrete delay, distributed delay and stability switches
    • K. Cook, and Z. Grossman Discrete delay, distributed delay and stability switches J. Math. Anal. Appl. 86 1982 592 627
    • (1982) J. Math. Anal. Appl. , vol.86 , pp. 592-627
    • Cook, K.1    Grossman, Z.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.