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Numerical Solution of a Class of Predator-Prey Systems with Complex Dynamics Characters Based on a Sinc Function Interpolation Collocation Method

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  • Mingjing Du
  • Pengfei Ning
  • Yulan Wang

Abstract

Although many kinds of numerical methods have been announced for the predator-prey system, simple and efficient methods have always been the direction that scholars strive to pursue. Based on this problem, in this paper, a new interpolation collocation method is proposed for a class of predator-prey systems with complex dynamics characters. Some complex dynamics characters and pattern formations are shown by using this new approach, and the results have a good agreement with theoretical results. Simulation results show the effectiveness of the method.

Suggested Citation

  • Mingjing Du & Pengfei Ning & Yulan Wang, 2020. "Numerical Solution of a Class of Predator-Prey Systems with Complex Dynamics Characters Based on a Sinc Function Interpolation Collocation Method," Complexity, Hindawi, vol. 2020, pages 1-34, March.
    • Handle: RePEc:hin:complx:5404851
    DOI: 10.1155/2020/5404851
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