The stability of a predator-prey system with linear mass-action functional response perturbed by white noise

DOI10.1186/s13662-016-0776-8zbMath1418.92150OpenAlexW2285636971WikidataQ38584253 ScholiaQ38584253MaRDI QIDQ1796706

Xiangdan Wen, Daqing Jiang, Zhenwen Liu, Qiumei Zhang

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0776-8

zbMATH Keywords

stochastically asymptotically stableasymptotically stablelinear mass-action functional response

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Stochastic stability in control theory (93E15) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) General biology and biomathematics (92B05)

Related Items (4)

Uniqueness and concentration for a fractional Kirchhoff problem with strong singularity ⋮ Influence of feedback controls on the global stability of a stochastic predator-prey model with Holling type II response and infinite delays ⋮ Stability of a nonlinear stochastic epidemic model with transfer from infectious to susceptible ⋮ Dynamical analysis of a ratio-dependent predator-prey model with Holling III type functional response and nonlinear harvesting in a random environment

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• ANALYSIS OF A PREDATOR–PREY MODEL WITH DISEASE IN THE PREY
• A predator-prey model with disease in the prey
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