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Volumn 337, Issue 1, 2008, Pages 466-479

Bifurcations for a predator-prey system with two delays

Author keywords

Delay; Hopf bifurcation; Normal form; Periodic solution; Predator prey system

Indexed keywords


EID: 34548261392     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2007.04.001     Document Type: Article
Times cited : (75)

References (24)
  • 1
    • 0030589781 scopus 로고    scopus 로고
    • Convergence results in a well-known delayed predator-prey system
    • Beretta E., and Kuang Y. 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
  • 3
    • 0017431525 scopus 로고
    • Periodic time-dependent predator-prey systems
    • Cushing J.M. Periodic time-dependent predator-prey systems. SIAM J. Appl. Math. 32 (1977) 82-95
    • (1977) SIAM J. Appl. Math. , vol.32 , pp. 82-95
    • Cushing, J.M.1
  • 4
    • 0000840165 scopus 로고
    • Normal form for retarded functional differential equations and applications to Bogdanov-takens singularity
    • Faria T., and Magalháes L.T. Normal form for retarded functional differential equations and applications to Bogdanov-takens singularity. J. Differential Equations 122 (1995) 201-224
    • (1995) J. Differential Equations , vol.122 , pp. 201-224
    • Faria, T.1    Magalháes, L.T.2
  • 5
    • 0000840164 scopus 로고
    • Normal form for retarded functional differential equations with parameters and applications to Hopf bifurcation
    • Faria T., and Magalháes L.T. Normal form for retarded functional differential equations with parameters and applications to Hopf bifurcation. J. Differential Equations 122 (1995) 181-200
    • (1995) J. Differential Equations , vol.122 , pp. 181-200
    • Faria, T.1    Magalháes, L.T.2
  • 6
    • 0035866130 scopus 로고    scopus 로고
    • Stability and bifurcation for a delay predator-prey model and the effect of diffusion
    • Faria T. Stability and bifurcation for a delay predator-prey model and the effect of diffusion. J. Math. Anal. Appl. 254 (2001) 433-463
    • (2001) J. Math. Anal. Appl. , vol.254 , pp. 433-463
    • Faria, T.1
  • 7
    • 0001388046 scopus 로고    scopus 로고
    • Local and Hopf bifurcation in a scalar delay differential equation
    • Giannakopoulos F., and Zapp A. Local and Hopf bifurcation in a scalar delay differential equation. J. Math. Anal. Appl. 237 (1999) 425-450
    • (1999) J. Math. Anal. Appl. , vol.237 , pp. 425-450
    • Giannakopoulos, F.1    Zapp, A.2
  • 8
    • 0017439216 scopus 로고
    • Periodic solutions of differential-difference equations
    • Hadelen K.P., and Tomiuk J. Periodic solutions of differential-difference equations. Arch. Ration. Mech. Anal. 65 (1977) 87-95
    • (1977) Arch. Ration. Mech. Anal. , vol.65 , pp. 87-95
    • Hadelen, K.P.1    Tomiuk, J.2
  • 10
    • 0030098369 scopus 로고    scopus 로고
    • Stability and delays in a predator-prey system
    • He X. Stability and delays in a predator-prey system. J. Math. Anal. Appl. 198 (1996) 355-370
    • (1996) J. Math. Anal. Appl. , vol.198 , pp. 355-370
    • He, X.1
  • 12
    • 0007142126 scopus 로고
    • Periodic solutions for a prey-predator differential delay equation
    • Leung A. Periodic solutions for a prey-predator differential delay equation. J. Differential Equations 26 (1977) 391-403
    • (1977) J. Differential Equations , vol.26 , pp. 391-403
    • Leung, A.1
  • 13
    • 0001842517 scopus 로고
    • Global continuation and asymptotic behavior for periodic solutions of a differential-delay equation
    • Mallet-Paret J., and Nussbaum R.D. Global continuation and asymptotic behavior for periodic solutions of a differential-delay equation. Ann. Math. Pura Appl. 145 (1986) 33-128
    • (1986) Ann. Math. Pura Appl. , vol.145 , pp. 33-128
    • Mallet-Paret, J.1    Nussbaum, R.D.2
  • 14
    • 0000145206 scopus 로고
    • A differential-delay equation arising in optics and physiology
    • Mallet-Paret J., and Nussbaum R.D. A differential-delay equation arising in optics and physiology. SIAM J. Math. Anal. 20 (1989) 249-292
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 249-292
    • Mallet-Paret, J.1    Nussbaum, R.D.2
  • 15
    • 33746961598 scopus 로고    scopus 로고
    • Periodic solutions of planar systems with two delays
    • Ruan S., and Wei J. Periodic solutions of planar systems with two delays. Proc. Roy. Soc. Edinburgh Sect. A 129 (1999) 1017-1032
    • (1999) Proc. Roy. Soc. Edinburgh Sect. A , vol.129 , pp. 1017-1032
    • Ruan, S.1    Wei, J.2
  • 16
    • 10144236930 scopus 로고    scopus 로고
    • Local and global Hopf bifurcation in a delayed hematopoiesis model
    • Song Y., and Wei J. Local and global Hopf bifurcation in a delayed hematopoiesis model. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 14 (2004) 3909-3919
    • (2004) Internat. J. Bifur. Chaos Appl. Sci. Engrg. , vol.14 , pp. 3909-3919
    • Song, Y.1    Wei, J.2
  • 17
    • 10144242643 scopus 로고    scopus 로고
    • Local Hopf bifurcation and global periodic solutions in a delayed predator-prey system
    • Song Y., and Wei J. Local Hopf bifurcation and global periodic solutions in a delayed predator-prey system. J. Math. Anal. Appl. 301 (2005) 1-21
    • (2005) J. Math. Anal. Appl. , vol.301 , pp. 1-21
    • Song, Y.1    Wei, J.2
  • 18
    • 0002885593 scopus 로고
    • Periodic solutions of a planar delay equation
    • Taboas P. Periodic solutions of a planar delay equation. Proc. Roy. Soc. Edinburgh Sect. A 116 (1990) 85-101
    • (1990) Proc. Roy. Soc. Edinburgh Sect. A , vol.116 , pp. 85-101
    • Taboas, P.1
  • 19
    • 44949279431 scopus 로고
    • Harmless delays for uniform persistence
    • Wang W., and Ma Z. Harmless delays for uniform persistence. J. Math. Anal. Appl. 158 (1991) 256-268
    • (1991) J. Math. Anal. Appl. , vol.158 , pp. 256-268
    • Wang, W.1    Ma, Z.2
  • 20
    • 12244312783 scopus 로고    scopus 로고
    • Hopf bifurcation analysis in a delayed Nicholson Blowflies equation
    • Wei J., and Li M. Hopf bifurcation analysis in a delayed Nicholson Blowflies equation. Nonlinear Anal. 60 (2005) 1351-1367
    • (2005) Nonlinear Anal. , vol.60 , pp. 1351-1367
    • Wei, J.1    Li, M.2
  • 21
    • 6444228136 scopus 로고    scopus 로고
    • Global existence of periodic solutions in a Tri-Neuron Network model with delays
    • Wei J., and Li Y. Global existence of periodic solutions in a Tri-Neuron Network model with delays. Phys. D 198 (2004) 106-119
    • (2004) Phys. D , vol.198 , pp. 106-119
    • Wei, J.1    Li, Y.2
  • 23
    • 33646864830 scopus 로고    scopus 로고
    • Symmetric functional differential equations and neural networks with memory
    • Wu J. Symmetric functional differential equations and neural networks with memory. Trans. Amer. Math. Soc. 350 (1998) 4799-4838
    • (1998) Trans. Amer. Math. Soc. , vol.350 , pp. 4799-4838
    • Wu, J.1
  • 24
    • 0031126691 scopus 로고    scopus 로고
    • Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems
    • Zhao T., Kuang Y., and Smith H.L. Global existence of periodic solutions in a class of delayed Gause-type predator-prey systems. Nonlinear Anal. 28 (1997) 1373-1394
    • (1997) Nonlinear Anal. , vol.28 , pp. 1373-1394
    • Zhao, T.1    Kuang, Y.2    Smith, H.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.