Long-time behavior of a stochastic predator–prey model with modified Leslie–Gower and Holling-type II schemes

DOI10.1142/S179352451650039XzbMath1335.60125OpenAlexW2194579902WikidataQ115522826 ScholiaQ115522826MaRDI QIDQ2799330

Yuguo Lin, Daqing Jiang

Publication date: 8 April 2016

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179352451650039x

zbMATH Keywords

asymptotic stabilitydiffusion processMarkov semigroupsstochastic predator-prey model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Markov semigroups and applications to diffusion processes (47D07) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes (60J60) (L^p)-limit theorems (60F25)

Related Items (5)

Long-time behavior of a nonautonomous stochastic predator-prey model with jumps ⋮ Dynamics of a stochastic Holling II predator-prey model with Lévy jumps and habitat complexity ⋮ Study of LG-Holling type III predator-prey model with disease in predator ⋮ Stationary distribution and periodic solution of stochastic toxin-producing phytoplankton-zooplankton systems ⋮ Global analysis and optimal harvesting for a hybrid stochastic phytoplankton-zooplankton-fish model with distributed delays

Cites Work

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• A note on a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
• A stochastic model of AIDS and condom use
• Global qualitative analysis of a ratio-dependent predator-prey system
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes

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