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Dynamics and Simulations of Multi-species Competition-Predator System with Impulsive

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Part of the Lecture Notes in Computer Science book series (LNISA,volume 7473)

Abstract

We investigate the dynamics of a class of multi-species competition predator interaction models with Beddington-DeAngelis functional response. Sufficient conditions for existence of a positive periodic solution are given and sufficient criteria are established for the global stability and the globally exponential stability of the system by using the comparison principle and the Lyapunov method. In addition, some numerical simulation shows that our models can occur in many forms of complexities including periodic oscillation and strange chaotic strange attractor.

Keywords

  • Global stability
  • Simulations
  • Competition-predator

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Yan, Y., Wang, K., Gui, Z. (2012). Dynamics and Simulations of Multi-species Competition-Predator System with Impulsive. In: Liu, B., Ma, M., Chang, J. (eds) Information Computing and Applications. ICICA 2012. Lecture Notes in Computer Science, vol 7473. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34062-8_16

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  • DOI: https://doi.org/10.1007/978-3-642-34062-8_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34061-1

  • Online ISBN: 978-3-642-34062-8

  • eBook Packages: Computer ScienceComputer Science (R0)