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Volumn 55, Issue 3-4, 2012, Pages 672-679

Hopf bifurcation of a predator-prey model with time delay and stage structure for the prey

Author keywords

Delay; Hopf bifurcation; Predator prey system; Stage structure

Indexed keywords

BIFURCATING PERIODIC SOLUTIONS; BIFURCATION PARAMETER; CENTER MANIFOLD; CHARACTERISTIC EQUATION; CRITICAL VALUE; DELAY; FUNCTIONAL RESPONSE; LOCAL STABILITY; PREDATOR - PREY SYSTEM; PREDATOR-PREY MODELS; STAGE STRUCTURE; THEORETICAL RESULT;

EID: 84855203357     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2011.08.041     Document Type: Article
Times cited : (62)

References (13)
  • 1
    • 0003196710 scopus 로고
    • Integro-differential equations and delay models in population dynamics
    • Springer-Verlag, Berlin, Heidelberg, New York
    • Cushing J.M. Integro-differential equations and delay models in population dynamics. Lecture Notes in Biomathematics 1977, vol. 20. Springer-Verlag, Berlin, Heidelberg, New York.
    • (1977) Lecture Notes in Biomathematics , vol.20
    • Cushing, J.M.1
  • 4
    • 0001813929 scopus 로고
    • On theoretical models for competitive and predatory biological systems
    • Bartlett M.S. On theoretical models for competitive and predatory biological systems. Biometrika 1957, 44:27-42.
    • (1957) Biometrika , vol.44 , pp. 27-42
    • Bartlett, M.S.1
  • 5
    • 0032058512 scopus 로고    scopus 로고
    • Global analyses in some delayed ratio-dependent predator-prey systems
    • Beretta E., Kuang Y. Global analyses in some delayed ratio-dependent predator-prey systems. Nonlinear Anal. TMA 1998, 32:381-408.
    • (1998) Nonlinear Anal. TMA , vol.32 , pp. 381-408
    • Beretta, E.1    Kuang, Y.2
  • 6
    • 0001519022 scopus 로고
    • Time lag in prey-predator population models
    • Wangersky P.J., Cunningham W.J. Time lag in prey-predator population models. Ecology 1957, 38:136-139.
    • (1957) Ecology , vol.38 , pp. 136-139
    • Wangersky, P.J.1    Cunningham, W.J.2
  • 7
    • 4944222203 scopus 로고    scopus 로고
    • Persistence and global stability of a ratio-dependent predator-prey model with stage structure
    • Xu R., Chaplain M.A.J., Davidson F. Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Appl. Math. Comput. 2004, 158:729-744.
    • (2004) Appl. Math. Comput. , vol.158 , pp. 729-744
    • Xu, R.1    Chaplain, M.A.J.2    Davidson, F.3
  • 8
    • 0011893594 scopus 로고
    • The existence and uniqueness of limit cycles in differential equations modelling the predator-prey interaction
    • Chen L., Jing Z. The existence and uniqueness of limit cycles in differential equations modelling the predator-prey interaction. Chinese Sci. Bull. 1984, 29(9):521-523.
    • (1984) Chinese Sci. Bull. , vol.29 , Issue.9 , pp. 521-523
    • Chen, L.1    Jing, Z.2
  • 9
    • 0001519022 scopus 로고
    • Time lag in prey-predator population models
    • Wangersky P.J., Cunningham W.J. Time lag in prey-predator population models. Ecology 1957, 38:136-139.
    • (1957) Ecology , vol.38 , pp. 136-139
    • Wangersky, P.J.1    Cunningham, W.J.2
  • 10
    • 79955523363 scopus 로고    scopus 로고
    • Global dynamics of a predator-prey model with time delay and stage structure for the prey
    • Rui Xu Global dynamics of a predator-prey model with time delay and stage structure for the prey. Nonlinear Anal. RWA 2011, 12:2151-2162.
    • (2011) Nonlinear Anal. RWA , vol.12 , pp. 2151-2162
    • Rui, X.1
  • 13
    • 0347130009 scopus 로고    scopus 로고
    • Stability and bifurcation in a neural network model with two delays
    • Wei J., Ruan S. Stability and bifurcation in a neural network model with two delays. Physica D 1999, 130:255-272.
    • (1999) Physica D , vol.130 , pp. 255-272
    • Wei, J.1    Ruan, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.