Stochastic Population Dynamics Driven by Levy Noise
By Jianhai Bao, Chenggui Yuan. 2011
231 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Mathematical Physics, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/5deb6050e247f55b758232a334af5f68eef38423
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In Applied Mathematics
In Mathematical Physics
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Dynamics of a Leslie-Gower Holling-type II predator-prey system with Lévy jumps (2013, background): “[15,16] suggested that these phenomena can be described by a Lévy jump process and they considered stochastic Lotka–Volterra population systems with jumps for the first time.”
- Stochastic Lotka–Volterra systems with Lévy noise (2014, background): “The proof is similar to that of Bao and Yuan [4] by defining V (x)=−a21x1 +a12x2, x ∈ R+ and hence is omitted.”