Ergodicity and bifurcations for stochastic logistic equation with non-Gaussian Lévy noise

Zaitang Huang and Junfei Cao

Applied Mathematics and Computation, 2018, vol. 330, issue C, 1-10

Abstract: In this paper, we will prove that the local RDS φ generated by the stochastic logistic equation with non-Gaussian Lévy noise is continuous, linear and crude cocycle by basing on multiplicative ergodic theorem. Then we determine all invariant measures of the local RDS φ generated by the stochastic logistic equation with non-Gaussian Lévy noise, and we calculate the Lyapunov exponent for each of these measures. Furthermore, we will show that the stochastic logistic equation with non-Gaussian Lévy noise admits a D-bifurcations which is significantly different from the classical Brownian motion process.

Keywords: Invariant measures; Stochastic bifurcation; Discontinuous cocycles; Multiplicative ergodic theorem; Lévy noise (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:330:y:2018:i:c:p:1-10

DOI: 10.1016/j.amc.2018.01.054

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