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FCLT and MDP for Stochastic Lotka–Volterra Model

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Abstract

In this paper, we continue an asymptotic analysis of a stochastic version of the Lotka–Volterra model for predator–prey interactions. While the fluid approximation and large deviations were shown in Klebaner and Liptser (Ann. Appl. Probab. 11, 1263–1291, 2001) here we establish the diffusion approximation and moderate deviations.

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Authors and Affiliations

  1. School of Mathematical Sciences, Building 28M, Monash University, 3800, Clayton Campus, Victoria, Australia

    F. C. Klebaner & A. Lim

  2. Electrical Engineering Systems, Tel Aviv University, 69978, Ramat Aviv, Tel Aviv, Israel

    R. Liptser

Authors
  1. F. C. Klebaner
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  2. A. Lim
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  3. R. Liptser
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Correspondence to F. C. Klebaner.

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Klebaner, F.C., Lim, A. & Liptser, R. FCLT and MDP for Stochastic Lotka–Volterra Model. Acta Appl Math 97, 53–68 (2007). https://doi.org/10.1007/s10440-007-9136-8

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  • DOI: https://doi.org/10.1007/s10440-007-9136-8

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