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Effects of a population floor on the persistence of chaos in a mutual interference host–parasitoid model

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  • Zhao, Min
  • Yu, Hengguo
  • Zhu, Jun

Abstract

Chaotic dynamics have been observed in a wide range of population models. However, much of the research on the persistence of chaos has focused on external perturbations of ecosystems, such as climatic change or anthropogenic factors. In this paper, the effects of a non-zero population floor in a mutual interference host–parasitoid model are described. Such a perturbation generally reduces the likelihood of observing chaos. Furthermore, the computational simulation of the largest Lyapunov exponent also demonstrates the chaotic dynamic behavior of the model and describes a process which reduces the likelihood of observing chaos. The numerical results indicate that computer simulation is a useful method for studying chaos.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:2:p:1245-1250
    DOI: 10.1016/j.chaos.2009.03.027
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    References listed on IDEAS

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    1. Gomes, A.A. & Manica, E. & Varriale, M.C., 2008. "Applications of chaos control techniques to a three-species food chain," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 432-441.
    2. 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.
    3. Park, Ju H., 2005. "Chaos synchronization of a chaotic system via nonlinear control," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 579-584.
    4. Bowong, Samuel & Kakmeni, Moukam & Koina, Rodoumta, 2006. "Chaos synchronization and duration time of a class of uncertain chaotic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 71(3), pages 212-228.
    5. Gomes, A.A. & Manica, E. & Varriale, M.C., 2008. "Applications of chaos control techniques to a three-species food chain," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 1097-1107.
    6. Park, Ju H., 2006. "Chaos synchronization of nonlinear Bloch equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(2), pages 357-361.
    7. Lv, Songjuan & Zhao, Min, 2008. "The dynamic complexity of a host–parasitoid model with a lower bound for the host," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 911-919.
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    Cited by:

    1. Jana, Debaldev & Agrawal, Rashmi & Upadhyay, Ranjit Kumar, 2014. "Top-predator interference and gestation delay as determinants of the dynamics of a realistic model food chain," Chaos, Solitons & Fractals, Elsevier, vol. 69(C), pages 50-63.
    2. Dai, Chuanjun & Zhao, Min & Chen, Lansun, 2012. "Complex dynamic behavior of three-species ecological model with impulse perturbations and seasonal disturbances," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 84(C), pages 83-97.
    3. Zhang, Limin & Zhang, Chaofeng & Zhao, Min, 2014. "Dynamic complexities in a discrete predator–prey system with lower critical point for the prey," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 105(C), pages 119-131.
    4. Tiancai Liao & Hengguo Yu & Chuanjun Dai & Min Zhao, 2019. "Impact of Cell Size Effect on Nutrient-Phytoplankton Dynamics," Complexity, Hindawi, vol. 2019, pages 1-23, November.

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