Persistence and extinction of a stochastic delay predator-prey model under regime switching.

DOI10.1007/S10492-014-0058-2zbMath1340.34321OpenAlexW2007739921WikidataQ115605315 ScholiaQ115605315MaRDI QIDQ464712

Qun Liu, Zhen-Hai Liu

Publication date: 29 October 2014

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143776

zbMATH Keywords

delaypersistenceextinctionMarkov switchingstochastic perturbations

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stochastic functional-differential equations (34K50) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Perturbations of functional-differential equations (34K27)

Related Items (1)

A stochastic predator–prey model with Holling II increasing function in the predator

Cites Work

• On hybrid competitive Lotka-Volterra ecosystems
• Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
• On stability and fluctuation in Gompertzian and logistic growth models
• Stochastic population dynamics under regime switching. II
• Persistence and extinction of a stochastic delay logistic equation under regime switching
• Environmental Brownian noise suppresses explosions in population dynamics.
• Persistence, extinction and global asymptotical stability of a non-autonomous predator-prey model with random perturbation
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Stochastic Population Systems
• Stochastic Differential Equations with Markovian Switching
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