Long-time behavior of a nonautonomous stochastic predator-prey model with jumps

DOI10.15559/21-VMSTA173zbMath1475.92121arXiv2012.03249OpenAlexW3135793453WikidataQ113234197 ScholiaQ113234197MaRDI QIDQ2240082

O. V. Borisenko, Aleksandr D. Borisenko

Publication date: 5 November 2021

Published in: Modern Stochastics. Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.03249

zbMATH Keywords

global solutionextinctionstochastic permanencestochastic predator-prey modelstochastic ultimate boundednessLeslie-Gower and Holling-type II functional responsenonpersistence in the meanweak persistence in the mean

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30)

Cites Work

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• Stochastic two-species mutualism model with jumps
• Long-time behavior of a stochastic predator–prey model with modified Leslie–Gower and Holling-type II schemes
• A strong law of large numbers for local martingales
• Persistence and extinction in a stochastic nonautonomous logistic model of population dynamics

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