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The Existence and Simulations of Periodic Solution of Leslie Predator-Prey Model with Impulsive Perturbations

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Information Computing and Applications (ICICA 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 244))

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Abstract

In this paper, we investigate the predator-prey system governed by impulsive differential equation with Leslie functional response. Sufficient conditions are obtained for the existence of periodic solutions. The main approach is based on Mawhin’s continuation theorem of the coincidence degree. Further, some numerical simulations demonstrate that our model can occur in many forms of complexities including periodic oscillation and chaotic strange attractor.

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Wang, K., Zhang, W., Gui, Z. (2011). The Existence and Simulations of Periodic Solution of Leslie Predator-Prey Model with Impulsive Perturbations. In: Liu, C., Chang, J., Yang, A. (eds) Information Computing and Applications. ICICA 2011. Communications in Computer and Information Science, vol 244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27452-7_16

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  • DOI: https://doi.org/10.1007/978-3-642-27452-7_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-27451-0

  • Online ISBN: 978-3-642-27452-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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