Stochastic Population Dynamics Driven by Levy Noise

Details Stochastic Population Dynamics Driven by Levy Noise Stochastic Population Dynamics Driven by Levy Noise

2011-05-05

arxiv.org/abs/1105.1174v1

Mathematics

Probability

16 pages

Scientific paper

This paper considers stochastic population dynamics driven by Levy noise. The contributions of this paper lie in that (a) Using Khasminskii-Mao theorem, we show that the stochastic differential equation associated with the model has a unique global positive solution; (b) Applying an exponential martingale inequality with jumps, we discuss the asymptotic pathwise estimation of such model.

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