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Dynamic complexities in a parasitoid-host-parasitoid ecological model

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  • Yu, Hengguo
  • Zhao, Min
  • Lv, Songjuan
  • Zhu, Lili

Abstract

Chaotic dynamics have been observed in a wide range of population models. In this study, the complex dynamics in a discrete-time ecological model of parasitoid-host-parasitoid are presented. The model shows that the superiority coefficient not only stabilizes the dynamics, but may strongly destabilize them as well. Many forms of complex dynamics were observed, including pitchfork bifurcation with quasi-periodicity, period-doubling cascade, chaotic crisis, chaotic bands with narrow or wide periodic window, intermittent chaos, and supertransient behavior. Furthermore, computation of the largest Lyapunov exponent demonstrated the chaotic dynamic behavior of the model.

Suggested Citation

  • Yu, Hengguo & Zhao, Min & Lv, Songjuan & Zhu, Lili, 2009. "Dynamic complexities in a parasitoid-host-parasitoid ecological model," Chaos, Solitons & Fractals, Elsevier, vol. 39(1), pages 39-48.
    • Handle: RePEc:eee:chsofr:v:39:y:2009:i:1:p:39-48
    DOI: 10.1016/j.chaos.2007.01.149
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    References listed on IDEAS

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    1. Wang, Fengyan & Hao, Chunping & Chen, Lansun, 2007. "Bifurcation and chaos in a Monod type food chain chemostat with pulsed input and washout," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 826-839.
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    4. Wang, Fengyan & Hao, Chunping & Chen, Lansun, 2007. "Bifurcation and chaos in a Tessiet type food chain chemostat with pulsed input and washout," Chaos, Solitons & Fractals, Elsevier, vol. 32(4), pages 1547-1561.
    5. Wang, Fengyan & Hao, Chunping & Chen, Lansun, 2007. "Bifurcation and chaos in a Monod–Haldene type food chain chemostat with pulsed input and washout," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 181-194.
    6. Li, Zhenqing & Wang, Weiming & Wang, Hailing, 2006. "The dynamics of a Beddington-type system with impulsive control strategy," Chaos, Solitons & Fractals, Elsevier, vol. 29(5), pages 1229-1239.
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    Cited by:

    1. Zhao, Min & Yu, Hengguo & Zhu, Jun, 2009. "Effects of a population floor on the persistence of chaos in a mutual interference host–parasitoid model," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1245-1250.
    2. Yousef, A.M. & Rida, S.Z. & Ali, H.M. & Zaki, A.S., 2023. "Stability, co-dimension two bifurcations and chaos control of a host-parasitoid model with mutual interference," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    3. Zhang, Limin & Zhao, Min, 2009. "Dynamic complexities in a hyperparasitic system with prolonged diapause for host," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1136-1142.
    4. San Martín, Jesús & Moscoso, Ma José & González Gómez, A., 2009. "The universal cardinal ordering of fixed points," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 1996-2007.

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