FCLT and MDP for Stochastic Lotka–Volterra Model |
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| Authors: | F C Klebaner A Lim R Liptser |
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| Institution: | (1) School of Mathematical Sciences, Building 28M, Monash University, 3800 Clayton Campus, Victoria, Australia;(2) Electrical Engineering Systems, Tel Aviv University, 69978, Ramat Aviv, Tel Aviv, Israel |
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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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| Keywords: | Predator– prey models Functional central limit theorem Moderate deviations |
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