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Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method

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  • Mingjing Du
  • Junmei Li
  • Yulan Wang
  • Wei Zhang

Abstract

This paper numerically simulates three-dimensional Kolmogorov model with chaotic dynamic behavior by barycentric Lagrange interpolation collocation method. Some numerical examples are studied for finding some new chaotic behaviors and demonstrating some existing chaotic dynamic behaviors of the Kolmogorov model. Results obtained by the present method indicate that the method has merits of small operations and good numerical stability.

Suggested Citation

  • Mingjing Du & Junmei Li & Yulan Wang & Wei Zhang, 2019. "Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method," Complexity, Hindawi, vol. 2019, pages 1-14, April.
    • Handle: RePEc:hin:complx:3426974
    DOI: 10.1155/2019/3426974
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    References listed on IDEAS

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    1. Khajanchi, Subhas, 2017. "Modeling the dynamics of stage-structure predator-prey system with Monod–Haldane type response function," Applied Mathematics and Computation, Elsevier, vol. 302(C), pages 122-143.
    2. 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.
    3. Zeng, Ting & Teng, Zhidong & Li, Zhiming & Hu, Junna, 2018. "Stability in the mean of a stochastic three species food chain model with general Le´vy jumps," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 258-265.
    4. Juneja, Nishant & Agnihotri, Kulbhushan, 2018. "Conservation of a predator species in SIS prey-predator system using optimal taxation policy," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 86-94.
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    Cited by:

    1. Du Mingjing & Yulan Wang, 2019. "Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method," Complexity, Hindawi, vol. 2019, pages 1-15, October.

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