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Stochastic population dynamics driven by Lévy noise. (English) Zbl 06030435
Summary: This paper considers stochastic population dynamics driven by Lévy 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.
MSC:
92D25Population dynamics (general)
60HxxStochastic analysis
References:
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