Stochastic population dynamics driven by Levy noise

This paper considers stochastic population dynamics driven by Levy noise. The contributions of this paper lie in that: (a) Using the Khasminskii-Mao theorem, we show that the stochastic differential equation associated with our model has a unique global positive solution: (b) Applying an exponential martingale inequality with jumps, we discuss the asymptotic pathwise estimation of such a model. (C) 2012 Elsevier Inc. All rights reserved.