메뉴 건너뛰기




Volumn 22, Issue 3, 2004, Pages 713-722

Hopf bifurcation in a Volterra prey-predator model with strong kernel

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; FREQUENCY DOMAIN ANALYSIS; GRAPH THEORY; MATHEMATICAL MODELS; NYQUIST DIAGRAMS; PARAMETER ESTIMATION;

EID: 2042474111     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.02.048     Document Type: Article
Times cited : (20)

References (13)
  • 1
    • 0037332786 scopus 로고    scopus 로고
    • Bifurcation and choas in a predator-prey model with delay and a laser-diode system with self-sustained pulsations
    • Krise S., Roy Choudhury S. Bifurcation and choas in a predator-prey model with delay and a laser-diode system with self-sustained pulsations. Choas Sol. Fractals. 16:2003;59-77.
    • (2003) Choas Sol. Fractals , vol.16 , pp. 59-77
    • Krise, S.1    Roy Choudhury, S.2
  • 2
    • 0035866130 scopus 로고    scopus 로고
    • Stability and bifurcation for a delayed predator. Prey model and the effect of diffusion
    • Teresa Farial Stability and bifurcation for a delayed 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
    • Farial, T.1
  • 3
    • 0037097108 scopus 로고    scopus 로고
    • Hopf bifurcation and stability analysis in a harvested one-predator-two-prey model
    • Kumar S., Srivastava S.K., Chingakham P. Hopf bifurcation and stability analysis in a harvested one-predator-two-prey model. Appl. Math. Comput. 129:2002;107-118.
    • (2002) Appl. Math. Comput. , vol.129 , pp. 107-118
    • Kumar, S.1    Srivastava, S.K.2    Chingakham, P.3
  • 5
    • 0003211333 scopus 로고    scopus 로고
    • Periodic orbits arising from Hopf bifurcations in a Volterra prey-predator model
    • Dodd R.K. Periodic orbits arising from Hopf bifurcations in a Volterra prey-predator model. J. Math. Biol. 35:1997;432-452.
    • (1997) J. Math. Biol. , vol.35 , pp. 432-452
    • Dodd, R.K.1
  • 6
    • 0003478288 scopus 로고    scopus 로고
    • Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
    • New York: Springer-Verlag
    • Guckenheimer J., Holmes P. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Applied Mathematical Sciences. 1997;Springer-Verlag, New York.
    • (1997) Applied Mathematical Sciences
    • Guckenheimer, J.1    Holmes, P.2
  • 8
    • 84971124048 scopus 로고
    • Harmonic balance and the Hopf bifurcation theorem
    • Allwright D.J. Harmonic balance and the Hopf bifurcation theorem. Math. Proc. Cambridge Phil. Soc. 82:1977;453-467.
    • (1977) Math. Proc. Cambridge Phil. Soc. , vol.82 , pp. 453-467
    • Allwright, D.J.1
  • 9
    • 0018452921 scopus 로고
    • The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems
    • Mees A.I., Chua L.O. The Hopf bifurcation theorem and its applications to nonlinear oscillations in circuits and systems. IEEE Trans. Circ. Sys. 26:1979;235-254.
    • (1979) IEEE Trans. Circ. Sys. , vol.26 , pp. 235-254
    • Mees, A.I.1    Chua, L.O.2
  • 11
    • 0027593222 scopus 로고
    • Computation of limit cycles via higher-order harmonic balance approximation
    • Moiola J.L., Chen G. Computation of limit cycles via higher-order harmonic balance approximation. IEEE Trans. Auto. Control. 38:1993;782-790.
    • (1993) IEEE Trans. Auto. Control , vol.38 , pp. 782-790
    • Moiola, J.L.1    Chen, G.2
  • 12
    • 21344496839 scopus 로고
    • Frequency domain approach to computational analysis of bifurcations and limit cycles: A tutorial
    • Moiola J.L., Chen G. Frequency domain approach to computational analysis of bifurcations and limit cycles: a tutorial. Int. J. Bifur. Chaos. 3:1993;843-867.
    • (1993) Int. J. Bifur. Chaos , vol.3 , pp. 843-867
    • Moiola, J.L.1    Chen, G.2
  • 13
    • 0037305305 scopus 로고    scopus 로고
    • Hopf bifurcation on a two-neuron system with distributed delays: A frequency domain approach
    • Liao X.F., Li S.W., Wong K.W. Hopf bifurcation on a two-neuron system with distributed delays: a frequency domain approach. Nonlinear Dynam. 31:2003;299-326.
    • (2003) Nonlinear Dynam. , vol.31 , pp. 299-326
    • Liao, X.F.1    Li, S.W.2    Wong, K.W.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.