메뉴 건너뛰기




Volumn 347, Issue 7, 2010, Pages 1076-1096

Bifurcation analysis and control of a discrete harvested preypredator system with BeddingtonDeAngelis functional response

Author keywords

BeddingtonDeAngelis functional response; Chaos; Flip bifurcation; Hopf bifurcation; Lyapunov exponents; State delayed feedback control

Indexed keywords

BEDDINGTONDEANGELIS FUNCTIONAL RESPONSE; BIFURCATION ANALYSIS; BIFURCATION THEORY; CENTER MANIFOLD THEOREM; CRITICAL VALUE; DELAYED FEEDBACK CONTROL; DELAYED FEEDBACK CONTROL METHOD; DYNAMICAL BEHAVIORS; LYAPUNOV EXPONENT; NUMERICAL SIMULATION; PERIOD DOUBLING BIFURCATION; PREY-PREDATOR SYSTEMS; STEADY STATE;

EID: 77955467639     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2010.03.016     Document Type: Article
Times cited : (42)

References (17)
  • 1
    • 33845634818 scopus 로고    scopus 로고
    • Modeling and analysis of a preypredator system with stage-structure and harvesting
    • T.K. Kar, and U.K. Pahari Modeling and analysis of a preypredator system with stage-structure and harvesting Nonlinear Analysis 8 2007 601 609
    • (2007) Nonlinear Analysis , vol.8 , pp. 601-609
    • Kar, T.K.1    Pahari, U.K.2
  • 2
    • 33748902433 scopus 로고    scopus 로고
    • Dynamics in ratio-dependent predatorprey model with predator harvesting
    • D.M. Xiao, W.X. Li, and M.A. Han Dynamics in ratio-dependent predatorprey model with predator harvesting Mathematical Analysis and Applications 324 2006 14 29
    • (2006) Mathematical Analysis and Applications , vol.324 , pp. 14-29
    • Xiao, D.M.1    Li, W.X.2    Han, M.A.3
  • 3
    • 0037097108 scopus 로고    scopus 로고
    • Hopf bifurcation and stability analysis in a harvested one-predatortwo-prey model
    • S. Kumar, S.K. Srivastava, and P. Chingakham Hopf bifurcation and stability analysis in a harvested one-predatortwo-prey model Applied Mathematics and Computation 129 2002 107 118
    • (2002) Applied Mathematics and Computation , vol.129 , pp. 107-118
    • Kumar, S.1    Srivastava, S.K.2    Chingakham, P.3
  • 4
    • 34147095873 scopus 로고    scopus 로고
    • Impulsive harvesting and stocking in a MonodHaldane functional response predatorprey system
    • Z.J. Liu, and R.H. Tan Impulsive harvesting and stocking in a MonodHaldane functional response predatorprey system Chaos, Solitons & Fractals 34 2007 454 464
    • (2007) Chaos, Solitons & Fractals , vol.34 , pp. 454-464
    • Liu, Z.J.1    Tan, R.H.2
  • 5
    • 33748545326 scopus 로고    scopus 로고
    • Bifurcation and chaos in a MonodHaldane type food chain chemostat with pulsed input and washout
    • F.Y. Wang, C.P. Hao, and L.S. Chen Bifurcation and chaos in a MonodHaldane type food chain chemostat with pulsed input and washout Chaos, Solitons & Fractals 32 2007 181 194
    • (2007) Chaos, Solitons & Fractals , vol.32 , pp. 181-194
    • Wang, F.Y.1    Hao, C.P.2    Chen, L.S.3
  • 6
    • 22844435930 scopus 로고    scopus 로고
    • Bifurcation and complexity of Monod type predatorprey system in a pulsed chemostat
    • F.Y. Wang, S.W. Zhang, L.S. Chen, and L.H. Sun Bifurcation and complexity of Monod type predatorprey system in a pulsed chemostat Chaos, Solitons & Fractals 27 2006 447 458
    • (2006) Chaos, Solitons & Fractals , vol.27 , pp. 447-458
    • Wang, F.Y.1    Zhang, S.W.2    Chen, L.S.3    Sun, L.H.4
  • 7
    • 33847069939 scopus 로고    scopus 로고
    • Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect
    • X.Y. Song, and Y.F. Li Dynamic complexities of a Holling II two-prey one-predator system with impulsive effect Chaos, Solitons & Fractals 33 2007 463 478
    • (2007) Chaos, Solitons & Fractals , vol.33 , pp. 463-478
    • Song, X.Y.1    Li, Y.F.2
  • 8
    • 33947158204 scopus 로고    scopus 로고
    • Global stability of the equilibrium of a diffusive HollingTanner preypredator model
    • R. Peng, and M.X. Wang Global stability of the equilibrium of a diffusive HollingTanner preypredator model Applied Mathematics Letters 20 2007 664 670
    • (2007) Applied Mathematics Letters , vol.20 , pp. 664-670
    • Peng, R.1    Wang, M.X.2
  • 9
    • 33750824327 scopus 로고    scopus 로고
    • Stability analysis of a preypredator model with Holling type III response function incorporating a prey refuge
    • Y.J. Huang, F.D. Chen, and L. Zhong Stability analysis of a preypredator model with Holling type III response function incorporating a prey refuge Applied Mathematics and Computation 182 2006 672 683
    • (2006) Applied Mathematics and Computation , vol.182 , pp. 672-683
    • Huang, Y.J.1    Chen, F.D.2    Zhong, L.3
  • 10
    • 24344490756 scopus 로고    scopus 로고
    • Chaos in periodically forced Holling type IV predatorprey system with impulsive perturbations
    • S.W. Zhang, D.J. Tan, and L.S. Chen Chaos in periodically forced Holling type IV predatorprey system with impulsive perturbations Chaos, Solitons & Fractals 27 2006 980 990
    • (2006) Chaos, Solitons & Fractals , vol.27 , pp. 980-990
    • Zhang, S.W.1    Tan, D.J.2    Chen, L.S.3
  • 11
    • 10044278294 scopus 로고    scopus 로고
    • Periodic solutions for a predatorprey model with Holling-type functional response and time delays
    • R. Xu, M.A.J. Chaplain, and F.A. Davidson Periodic solutions for a predatorprey model with Holling-type functional response and time delays Applied Mathematics and Computation 161 2005 637 654
    • (2005) Applied Mathematics and Computation , vol.161 , pp. 637-654
    • Xu, R.1    Chaplain, M.A.J.2    Davidson, F.A.3
  • 12
    • 0001628540 scopus 로고    scopus 로고
    • Two-parameter bifurcation in a predatorprey system of Ivlev type
    • J. Sugie Two-parameter bifurcation in a predatorprey system of Ivlev type Journal of Mathematical Analysis and Applications 217 1998 349 371
    • (1998) Journal of Mathematical Analysis and Applications , vol.217 , pp. 349-371
    • Sugie, J.1
  • 14
    • 34247209554 scopus 로고    scopus 로고
    • Permanence for a delayed discrete three-level food-chain model with BeddingtonDeAngelis functional response
    • C.Y. Xu, and M.J. Wang Permanence for a delayed discrete three-level food-chain model with BeddingtonDeAngelis functional response Applied Mathematics and Computation 187 2007 1109 1119
    • (2007) Applied Mathematics and Computation , vol.187 , pp. 1109-1119
    • Xu, C.Y.1    Wang, M.J.2
  • 15
    • 33748305640 scopus 로고    scopus 로고
    • Periodic solutions for discrete predatorprey systems with the BeddingtonDeAngelis functional response
    • J.M. Zhang, and J. Wang Periodic solutions for discrete predatorprey systems with the BeddingtonDeAngelis functional response Applied Mathematics Letters 19 2006 1361 1366
    • (2006) Applied Mathematics Letters , vol.19 , pp. 1361-1366
    • Zhang, J.M.1    Wang, J.2
  • 16
    • 33745116193 scopus 로고    scopus 로고
    • Existence of periodic solutions in predatorprey and competition dynamic systems
    • M. Bohner, M. Fan, and J.M. Zhang Existence of periodic solutions in predatorprey and competition dynamic systems Nonlinear Analysis 7 2006 1193 1204
    • (2006) Nonlinear Analysis , vol.7 , pp. 1193-1204
    • Bohner, M.1    Fan, M.2    Zhang, J.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.