Two impulsive stochastic delay single-species models incorporating Lévy noise

DOI10.1007/s12190-017-1164-6zbMath1398.34122OpenAlexW2784218266MaRDI QIDQ1786984

Zuxiong Li, Dashun Xu, Huibin Lv, Zhijun Liu, Lianwen Wang

Publication date: 25 September 2018

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-017-1164-6

zbMATH Keywords

Lévy noiseextinction \(\rightarrow \) stochastic permanenceimpulse stochastic delay single-species models

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Population dynamics (general) (92D25) Stochastic functional-differential equations (34K50) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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Optimal harvesting strategy for a stochastic mutualism system in a polluted environment with regime switching ⋮ Stability and explicit stationary density of a stochastic single-species model ⋮ Asymptotic analysis of impulsive dispersal predator-prey systems with Markov switching on finite-state space ⋮ Dynamics analysis of a stochastic hybrid logistic model with delay and two-pulse perturbations ⋮ Stochastic dynamics in a nonautonomous prey-predator system with impulsive perturbations and Lévy jumps ⋮ Analysis of impulsive stochastic delay budworm population model with Lévy jumps

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