Extinction and persistence of a stochastic Gilpin-Ayala model under regime switching on patches

DOI10.1016/j.aml.2018.10.019zbMath1426.60105OpenAlexW2899056941MaRDI QIDQ1726593

Abdelouahid Imlahi, Said Hamdoune, Adel Settati, Abdelhadi Akharif

Publication date: 20 February 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.10.019

zbMATH Keywords

persistenceextinctionswitchingstochastic modelGilpin-Ayala model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (4)

Dynamics of a stochastic Gilpin-Ayala population model with Markovian switching and impulsive perturbations ⋮ Analysis of stochastic Nicholson-type delay system under Markovian switching on patches ⋮ Dynamical analysis on two stochastic single-species models ⋮ Dynamics analysis of a stochastic delay Gilpin-Ayala model with Markovian switching

Cites Work

• Stability in distribution of competitive Lotka-Volterra system with Markovian switching
• Persistence, extinction, and critical patch number for island populations
• Predator-prey dynamics in models of prey dispersal in two-patch environments
• A note on stochastic Gilpin-Ayala population model with dispersal
• Permanence and extinction for dispersal population systems
• Global stability and predator dynamics in a model of prey dispersal in a patchy environment

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