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Volumn 32, Issue 5, 2007, Pages 1772-1785

The dynamic complexity of a three-species Beddington-type food chain with impulsive control strategy

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; COMPUTER SOFTWARE; ORDINARY DIFFERENTIAL EQUATIONS; OSCILLATIONS; PERTURBATION TECHNIQUES;

EID: 33846337529     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2005.12.025     Document Type: Article
Times cited : (60)

References (38)
  • 2
    • 84967782910 scopus 로고
    • Necessity and chance: deterministic chaos in ecology and evolution
    • May R.M. Necessity and chance: deterministic chaos in ecology and evolution. Am Math Soc 32 (1995) 291-308
    • (1995) Am Math Soc , vol.32 , pp. 291-308
    • May, R.M.1
  • 3
    • 0343462474 scopus 로고    scopus 로고
    • Categories of chaos and fractal basin boundaries in forced predator-prey models
    • Vandermeer J., Stone L., and Blasius B. Categories of chaos and fractal basin boundaries in forced predator-prey models. Chaos, Solitons & Fractals 12 (2001) 265-276
    • (2001) Chaos, Solitons & Fractals , vol.12 , pp. 265-276
    • Vandermeer, J.1    Stone, L.2    Blasius, B.3
  • 4
    • 0038239680 scopus 로고    scopus 로고
    • Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems
    • Venkatesan A., Parthasarathy S., and Lakshmanan M. Occurrence of multiple period-doubling bifurcation route to chaos in periodically pulsed chaotic dynamical systems. Chaos, Solitons & Fractals 18 (2003) 891-898
    • (2003) Chaos, Solitons & Fractals , vol.18 , pp. 891-898
    • Venkatesan, A.1    Parthasarathy, S.2    Lakshmanan, M.3
  • 5
    • 0038559492 scopus 로고    scopus 로고
    • Order and chaos in predator to prey ratio-dependent food chain
    • Gakkhar S., and Naji M.A. 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, M.A.2
  • 6
    • 0036489550 scopus 로고    scopus 로고
    • Chaos in functional response host-parasitoid ecosystem models
    • Tang S., and Chen L. 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.1    Chen, L.2
  • 7
    • 9644278028 scopus 로고    scopus 로고
    • Chaos in three species food chain system with impulsive perturbations
    • Zhang S., and Chen L. Chaos in three species food chain system with impulsive perturbations. Chaos, Solitons & Fractals 24 (2005) 73-83
    • (2005) Chaos, Solitons & Fractals , vol.24 , pp. 73-83
    • Zhang, S.1    Chen, L.2
  • 8
    • 0032508218 scopus 로고    scopus 로고
    • A study of a three species food chain
    • Varriale M.C., and Gomes A.A. A study of a three species food chain. Ecol Moel 110 (1998) 119-133
    • (1998) Ecol Moel , vol.110 , pp. 119-133
    • Varriale, M.C.1    Gomes, A.A.2
  • 9
    • 0029663443 scopus 로고    scopus 로고
    • Remarks on food chains dynamics
    • Kuznetsov Y.A., and Inaldi S.R. Remarks on food chains dynamics. Math Bios 134 (1996) 1-33
    • (1996) Math Bios , vol.134 , pp. 1-33
    • Kuznetsov, Y.A.1    Inaldi, S.R.2
  • 10
    • 0029479690 scopus 로고
    • Bifurcation structure of a three-species food chains model
    • McCann K., and Yodis P. Bifurcation structure of a three-species food chains model. Theor Popu Biol 48 (1995) 93-125
    • (1995) Theor Popu Biol , vol.48 , pp. 93-125
    • McCann, K.1    Yodis, P.2
  • 11
    • 0032126231 scopus 로고    scopus 로고
    • Food chain in the chemostat: relationships between mean yield and complex dynamics
    • Gragnani A., DeFeo O., and Rinaldi S. Food chain in the chemostat: relationships between mean yield and complex dynamics. Bull Math Biol 60 (1998) 703-719
    • (1998) Bull Math Biol , vol.60 , pp. 703-719
    • Gragnani, A.1    DeFeo, O.2    Rinaldi, S.3
  • 12
    • 0343462476 scopus 로고    scopus 로고
    • Crisis-limited chaotic dynamics in ecological system
    • Upadhyay R.K., and Rai V. Crisis-limited chaotic dynamics in ecological system. Chaos, Solitons & Fractals 12 (2001) 205-218
    • (2001) Chaos, Solitons & Fractals , vol.12 , pp. 205-218
    • Upadhyay, R.K.1    Rai, V.2
  • 13
    • 0343898230 scopus 로고    scopus 로고
    • Reduced order models for the prediction of the time of occurrence of extreme episodes
    • Rinaldi S., Casagrandi R., and Gragnani A. Reduced order models for the prediction of the time of occurrence of extreme episodes. Chaos, Solitons & Fractals 12 (2001) 313-320
    • (2001) Chaos, Solitons & Fractals , vol.12 , pp. 313-320
    • Rinaldi, S.1    Casagrandi, R.2    Gragnani, A.3
  • 14
    • 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
  • 15
    • 0029661092 scopus 로고    scopus 로고
    • Singular perturbation analysis of a model for a predator-prey system invaded by a parasite
    • Lenbury Y. Singular perturbation analysis of a model for a predator-prey system invaded by a parasite. Biosystems 39 (1996) 251-262
    • (1996) Biosystems , vol.39 , pp. 251-262
    • Lenbury, Y.1
  • 16
    • 0031468520 scopus 로고    scopus 로고
    • Permanence of population growth models with impulsive effects
    • Ballinger G., and Liu X. Permanence of population growth models with impulsive effects. Math Comput Model 26 (1997) 59-72
    • (1997) Math Comput Model , vol.26 , pp. 59-72
    • Ballinger, G.1    Liu, X.2
  • 17
    • 0034559503 scopus 로고    scopus 로고
    • Periodic solutions and bifurcations in an impact inverted pendulum under impulsive excitation
    • Lenci S., and Rega G. Periodic solutions and bifurcations in an impact inverted pendulum under impulsive excitation. Chaos, Solitons & Fractals 11 (2000) 2453-2472
    • (2000) Chaos, Solitons & Fractals , vol.11 , pp. 2453-2472
    • Lenci, S.1    Rega, G.2
  • 18
    • 0037332898 scopus 로고    scopus 로고
    • Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator
    • Liu X., and Chen L. Complex dynamics of Holling type II Lotka-Volterra predator-prey system with impulsive perturbations on the predator. Chaos, Solitons & Fractals 16 (2003) 311-320
    • (2003) Chaos, Solitons & Fractals , vol.16 , pp. 311-320
    • Liu, X.1    Chen, L.2
  • 19
    • 1842581466 scopus 로고    scopus 로고
    • Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control
    • Liu B., Zhang Y., and Chen L. Dynamic complexities of a Holling I predator-prey model concerning periodic biological and chemical control. Chaos, Solitons & Fractals 22 (2004) 123-134
    • (2004) Chaos, Solitons & Fractals , vol.22 , pp. 123-134
    • Liu, B.1    Zhang, Y.2    Chen, L.3
  • 20
    • 4243053687 scopus 로고    scopus 로고
    • The study of predator-prey system with defensive ability of prey and impulsive perturbations on the predator
    • Zhang S., Dong L., and Chen L. The study of predator-prey system with defensive ability of prey and impulsive perturbations on the predator. Chaos, Solitons & Fractals 23 (2005) 631-643
    • (2005) Chaos, Solitons & Fractals , vol.23 , pp. 631-643
    • Zhang, S.1    Dong, L.2    Chen, L.3
  • 21
    • 13444288053 scopus 로고    scopus 로고
    • A Holling II functional response food chain model with impulsive perturbations
    • Zhang S., and Chen L. A Holling II functional response food chain model with impulsive perturbations. Chaos, Solitons & Fractals 24 (2005) 1269-1278
    • (2005) Chaos, Solitons & Fractals , vol.24 , pp. 1269-1278
    • Zhang, S.1    Chen, L.2
  • 22
    • 18844441739 scopus 로고    scopus 로고
    • A food chain model with impulsive perturbations and Holling IV functional response
    • Zhang S., Wang F., and Chen L. A food chain model with impulsive perturbations and Holling IV functional response. Chaos, Solitons & Fractals 26 (2005) 855-866
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 855-866
    • Zhang, S.1    Wang, F.2    Chen, L.3
  • 23
    • 17644368942 scopus 로고    scopus 로고
    • Dynamic complexity of a two-prey one-predator system with impulsive effect
    • Zhang Y., Xiu Z., and Chen L. Dynamic complexity of a two-prey one-predator system with impulsive effect. Chaos, Solitons & Fractals 26 (2005) 131-139
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 131-139
    • Zhang, Y.1    Xiu, Z.2    Chen, L.3
  • 24
    • 17644379378 scopus 로고    scopus 로고
    • Chaos in a food chain chemostat with pulsed input and washout
    • Zhang Y., Xiu Z., and Chen L. Chaos in a food chain chemostat with pulsed input and washout. Chaos, Solitons & Fractals 26 (2005) 159-166
    • (2005) Chaos, Solitons & Fractals , vol.26 , pp. 159-166
    • Zhang, Y.1    Xiu, Z.2    Chen, L.3
  • 25
    • 0038750243 scopus 로고    scopus 로고
    • On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
    • Cantrell R.S., and Cosner 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    Cosner, C.2
  • 26
    • 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
  • 27
    • 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
  • 28
    • 1242344859 scopus 로고    scopus 로고
    • Uniqueness of limit cycles of the predator-prey system with Beddington-DeAngelis functional response
    • Hwang T.W. Uniqueness of limit cycles of the predator-prey system with 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
  • 29
    • 3442890192 scopus 로고    scopus 로고
    • Stability and bifurcation in a delayed predator-prey system with Beddington-DeAngelis functional response
    • Liu Z., and Yuan R. Stability and bifurcation in a delayed predator-prey system with Beddington-DeAngelis functional response. J Math Anal Appl 296 (2004) 521-537
    • (2004) J Math Anal Appl , vol.296 , pp. 521-537
    • Liu, Z.1    Yuan, R.2
  • 30
    • 0346671147 scopus 로고    scopus 로고
    • The asymptotic behavior of a chemostat model with the Beddington-DeAngelis functional response
    • Qui Z., Yu J., and Zou Y. The asymptotic behavior of a chemostat model with the Beddington-DeAngelis functional response. Math Bios 187 (2004) 175-187
    • (2004) Math Bios , vol.187 , pp. 175-187
    • Qui, Z.1    Yu, J.2    Zou, Y.3
  • 31
    • 10444225454 scopus 로고    scopus 로고
    • Complete mathematical analysis of predator-prey models with linear prey growth and Beddington-DeAngelis functional response
    • Dimitrov T.D., and Kojouharov V.H. Complete mathematical analysis of predator-prey models with linear prey growth and Beddington-DeAngelis functional response. J Appl Math Comput 162 (2005) 523-538
    • (2005) J Appl Math Comput , vol.162 , pp. 523-538
    • Dimitrov, T.D.1    Kojouharov, V.H.2
  • 32
    • 85126462281 scopus 로고    scopus 로고
    • Li Z, Wang W, Wang H. The dynamics of a Beddington-type system with impulsive control strategy, Chaos, Solitons & Fractals, doi:10.1016/j.chaos.2005.08.195, in press.
  • 36
    • 10444226518 scopus 로고    scopus 로고
    • A new algorithm for symbolic integral with application
    • Wang W., and Lian X. A new algorithm for symbolic integral with application. Appl Math Comput 162 (2005) 949-968
    • (2005) Appl Math Comput , vol.162 , pp. 949-968
    • Wang, W.1    Lian, X.2
  • 37
    • 14844349777 scopus 로고    scopus 로고
    • A new algorithm for integral of trigonometric functions with mechanization
    • Wang W., and Lin C. A new algorithm for integral of trigonometric functions with mechanization. Appl Math Comput 164 (2005) 71-82
    • (2005) Appl Math Comput , vol.164 , pp. 71-82
    • Wang, W.1    Lin, C.2
  • 38
    • 25844454132 scopus 로고    scopus 로고
    • Mechanization for solving SPP by reducing order method
    • Li Z., and Wang W. Mechanization for solving SPP by reducing order method. Appl Math Comput 169 (2005) 1028-1037
    • (2005) Appl Math Comput , vol.169 , pp. 1028-1037
    • Li, Z.1    Wang, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.