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The Existence and Simulations of Periodic Solutions of a Leslie-Gower 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

The principle aim of this paper is to explore the existence of periodic solution of a Leslie-Gower predator-prey model with impulsive perturbations. Sufficient and realistic conditions are obtained by using Mawhin’s continuation theorem of the coincidence degree. Further, some numerical simulations show that our model can occur in many forms of complexities including periodic oscillation and chaotic strange attractor.

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Wang, K., Gui, Z. (2011). The Existence and Simulations of Periodic Solutions of a Leslie-Gower 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_15

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  • DOI: https://doi.org/10.1007/978-3-642-27452-7_15

  • 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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