메뉴 건너뛰기




Volumn 40, Issue 5, 2009, Pages 2305-2316

Chaos in a three-species food chain model with a Beddington-DeAngelis functional response

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; LYAPUNOV METHODS;

EID: 65549146933     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.10.025     Document Type: Article
Times cited : (60)

References (29)
  • 1
    • 0000252357 scopus 로고    scopus 로고
    • Global quantities analysis of a ratio-dependent predator-prey system
    • Kuang Y., and Beretta E. Global quantities analysis of a ratio-dependent predator-prey system. J Math Biol 36 (1998) 389-406
    • (1998) J Math Biol , vol.36 , pp. 389-406
    • Kuang, Y.1    Beretta, E.2
  • 2
    • 0036489550 scopus 로고    scopus 로고
    • Chaos in functional response host-parasitoid ecosystem models
    • Tang S.Y., and Chen L.S. Chaos in functional response host-parasitoid ecosystem models. Chaos Solitons & Fractals 13 (2002) 875-884
    • (2002) Chaos Solitons & Fractals , vol.13 , pp. 875-884
    • Tang, S.Y.1    Chen, L.S.2
  • 3
    • 38349175105 scopus 로고    scopus 로고
    • The dynamic complexity of a host-parasitoid model with a lower bound for the host
    • Lv S., and Zhao M. The dynamic complexity of a host-parasitoid model with a lower bound for the host. Chaos Solitons & Fractals 36 (2008) 911-919
    • (2008) Chaos Solitons & Fractals , vol.36 , pp. 911-919
    • Lv, S.1    Zhao, M.2
  • 4
    • 30344442827 scopus 로고    scopus 로고
    • Dynamic complexities for prey-dependent consumption integrated pest management models with impulsive effects
    • Hui J., and Zhu D. Dynamic complexities for prey-dependent consumption integrated pest management models with impulsive effects. Chaos Solitons & Fractals 29 (2006) 233-251
    • (2006) Chaos Solitons & Fractals , vol.29 , pp. 233-251
    • Hui, J.1    Zhu, D.2
  • 5
    • 33747373360 scopus 로고    scopus 로고
    • Dynamics and adaptive synchronization of the energy resource system
    • Sun M., Tian L., Fu Y., and Qian W. Dynamics and adaptive synchronization of the energy resource system. Chaos Solitons & Fractals 31 (2007) 879-888
    • (2007) Chaos Solitons & Fractals , vol.31 , pp. 879-888
    • Sun, M.1    Tian, L.2    Fu, Y.3    Qian, W.4
  • 6
    • 0036028189 scopus 로고    scopus 로고
    • Analysis of the dynamics of a realistic ecological model
    • Letellier C., and Aziz-Alaoui M.A. Analysis of the dynamics of a realistic ecological model. Chaos Solitons & Fractals 13 (2002) 95-107
    • (2002) Chaos Solitons & Fractals , vol.13 , pp. 95-107
    • Letellier, C.1    Aziz-Alaoui, M.A.2
  • 8
    • 0025956240 scopus 로고
    • Chaos in a three-species food chain
    • Hastings A., and Powell T. Chaos in a three-species food chain. Ecology 72 (1991) 896-903
    • (1991) Ecology , vol.72 , pp. 896-903
    • Hastings, A.1    Powell, T.2
  • 9
    • 0038559492 scopus 로고    scopus 로고
    • Order and chaos in predator to prey ratio-dependent food chain
    • Gakkhar S., and Naji R.K. Order and chaos in predator to prey ratio-dependent food chain. Chaos Solitons & Fractals 18 (2003) 229-239
    • (2003) Chaos Solitons & Fractals , vol.18 , pp. 229-239
    • Gakkhar, S.1    Naji, R.K.2
  • 10
    • 0036722199 scopus 로고    scopus 로고
    • Chaos in three species ratio dependent food chain
    • Gakkhar S., and Naji R.K. Chaos in three species ratio dependent food chain. Chaos Solitons & Fractals 14 (2002) 771-778
    • (2002) Chaos Solitons & Fractals , vol.14 , pp. 771-778
    • Gakkhar, S.1    Naji, R.K.2
  • 11
    • 0027338779 scopus 로고
    • Chaos in a periodically forced predator-prey ecosystem model
    • Sabin G.C.W., and Summer D. Chaos in a periodically forced predator-prey ecosystem model. Math Biosci 113 (1993) 91-113
    • (1993) Math Biosci , vol.113 , pp. 91-113
    • Sabin, G.C.W.1    Summer, D.2
  • 12
    • 0032145877 scopus 로고    scopus 로고
    • Indirect effects with a keystone predator: coexistence and chaos
    • Vandermmeer J., and Maruca S. Indirect effects with a keystone predator: coexistence and chaos. Theor Popul Biol 54 (1998) 38-43
    • (1998) Theor Popul Biol , vol.54 , pp. 38-43
    • Vandermmeer, J.1    Maruca, S.2
  • 13
    • 31444436956 scopus 로고    scopus 로고
    • Dynamic complexities in a periodically pulsed ratio-dependent predator-prey ecosystem modeled on a chemostat
    • Hui J., and Chen L. Dynamic complexities in a periodically pulsed ratio-dependent predator-prey ecosystem modeled on a chemostat. Chaos Solitons & Fractals 29 (2006) 407-416
    • (2006) Chaos Solitons & Fractals , vol.29 , pp. 407-416
    • Hui, J.1    Chen, L.2
  • 14
    • 1642308743 scopus 로고    scopus 로고
    • Chaotic population dynamics and biology of the top-predator
    • Rai V., and Kumar Upadhyay R. Chaotic population dynamics and biology of the top-predator. Chaos Solitons & Fractals 21 (2004) 1195-1204
    • (2004) Chaos Solitons & Fractals , vol.21 , pp. 1195-1204
    • Rai, V.1    Kumar Upadhyay, R.2
  • 15
    • 9644302359 scopus 로고    scopus 로고
    • Complex dynamics in a three-level trophic system with intraspecies interaction
    • Peet A.B., Deutsch P.A., and Peacock-Lopez E. Complex dynamics in a three-level trophic system with intraspecies interaction. J Theor Biol 232 (2005) 491-503
    • (2005) J Theor Biol , vol.232 , pp. 491-503
    • Peet, A.B.1    Deutsch, P.A.2    Peacock-Lopez, E.3
  • 16
    • 13644280079 scopus 로고    scopus 로고
    • Effect of seasonality on the dynamics of 2 and 3 species prey-predator systems
    • Kumar Upadhyay R., and Iyengar S.R.K. Effect of seasonality on the dynamics of 2 and 3 species prey-predator systems. Nonlinear Anal Real World Appl 6 (2005) 509-530
    • (2005) Nonlinear Anal Real World Appl , vol.6 , pp. 509-530
    • Kumar Upadhyay, R.1    Iyengar, S.R.K.2
  • 17
    • 40949102679 scopus 로고    scopus 로고
    • The dynamic complexity of a three species food chain model
    • Lv S., and Zhao M. The dynamic complexity of a three species food chain model. Chaos Solitons & Fractals 37 (2008) 1469-1480
    • (2008) Chaos Solitons & Fractals , vol.37 , pp. 1469-1480
    • Lv, S.1    Zhao, M.2
  • 18
    • 33645868969 scopus 로고    scopus 로고
    • The dynamics of a Beddington-type system with impulsive control strategy
    • Li Z., Wang W., and Wang H. The dynamics of a Beddington-type system with impulsive control strategy. Chaos Solitons & Fractals 29 (2006) 1229-1239
    • (2006) Chaos Solitons & Fractals , vol.29 , pp. 1229-1239
    • Li, Z.1    Wang, W.2    Wang, H.3
  • 19
    • 0038750243 scopus 로고    scopus 로고
    • On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
    • Cantrell R.S., and Consner C. On the dynamics of predator-prey models with the Beddington-DeAngelis functional response. J Math Anal Appl 257 (2001) 206-222
    • (2001) J Math Anal Appl , vol.257 , pp. 206-222
    • Cantrell, R.S.1    Consner, C.2
  • 20
    • 0038577050 scopus 로고    scopus 로고
    • Seasonality perturbed prey-predator system with predator-dependent functional response
    • Gakkhar S., and Naji R.K. Seasonality perturbed prey-predator system with predator-dependent functional response. Chaos Solitons & Fractals 18 (2003) 1075-1083
    • (2003) Chaos Solitons & Fractals , vol.18 , pp. 1075-1083
    • Gakkhar, S.1    Naji, R.K.2
  • 21
    • 33846386530 scopus 로고    scopus 로고
    • Dynamical behavior of a three species food chain model with Beddington-DeAngelis functional response
    • Naji R.K., and Balasim A.T. Dynamical behavior of a three species food chain model with Beddington-DeAngelis functional response. Chaos Solitons & Fractals 32 (2007) 1853-1866
    • (2007) Chaos Solitons & Fractals , vol.32 , pp. 1853-1866
    • Naji, R.K.1    Balasim, A.T.2
  • 22
    • 0037670816 scopus 로고    scopus 로고
    • Global analysis of the predator-prey system with Beddington-DeAngelis functional response
    • Hwang T.W. Global analysis of the predator-prey system with Beddington-DeAngelis functional response. J Math Anal Appl 281 (2003) 395-401
    • (2003) J Math Anal Appl , vol.281 , pp. 395-401
    • Hwang, T.W.1
  • 23
    • 1242344859 scopus 로고    scopus 로고
    • Uniqueness of limit cycles of the predator-prey system with the Beddington-DeAngelis functional response
    • Hwang T.W. Uniqueness of limit cycles of the predator-prey system with the Beddington-DeAngelis functional response. J Math Anal Appl 290 (2004) 113-122
    • (2004) J Math Anal Appl , vol.290 , pp. 113-122
    • Hwang, T.W.1
  • 24
    • 31444451666 scopus 로고    scopus 로고
    • Chaotic behavior of a chemostat model with Beddington-DeAngelis functional response and periodically impulsive invasion
    • Zhang S., Tan D., and Chen L. Chaotic behavior of a chemostat model with Beddington-DeAngelis functional response and periodically impulsive invasion. Chaos Solitons & Fractals 29 (2006) 474-482
    • (2006) Chaos Solitons & Fractals , vol.29 , pp. 474-482
    • Zhang, S.1    Tan, D.2    Chen, L.3
  • 25
    • 0000076167 scopus 로고
    • Mutual interference between parasites or predators and its effect on searching efficiency
    • Beddington J.R. Mutual interference between parasites or predators and its effect on searching efficiency. J Animal Ecol 44 (1975) 331-340
    • (1975) J Animal Ecol , vol.44 , pp. 331-340
    • Beddington, J.R.1
  • 26
    • 0020410402 scopus 로고
    • Study on models of single populations: an expansion of the logistic and exponential equations
    • Qiwu C., and Lawson G.J. Study on models of single populations: an expansion of the logistic and exponential equations. J Theor Biol 98 (1982) 645-659
    • (1982) J Theor Biol , vol.98 , pp. 645-659
    • Qiwu, C.1    Lawson, G.J.2
  • 27
    • 43949166788 scopus 로고
    • A practical method for calculating largest Lyapunov exponents from small data sets
    • Rosenstein M.T., Collins J.J., and De Luca C.J. A practical method for calculating largest Lyapunov exponents from small data sets. Physica D 65 (1993) 117-134
    • (1993) Physica D , vol.65 , pp. 117-134
    • Rosenstein, M.T.1    Collins, J.J.2    De Luca, C.J.3
  • 29


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.