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Asymptotic behaviour of the stochastic Lotka–Volterra model

✍ Scribed by Xuerong Mao; Sotirios Sabanis; Eric Renshaw

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
232 KB
Volume
287
Category
Article
ISSN
0022-247X

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✦ Synopsis

This paper examines the asymptotic behaviour of the stochastic extension of a fundamentally important population process, namely the Lotka-Volterra model. The stochastic version of this process appears to have far more intriguing properties than its deterministic counterpart. Indeed, the fact that a potential deterministic population explosion can be prevented by the presence of even a tiny amount of environmental noise shows the high level of difference which exists between these two representations.

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