Stochastic predator-prey model with Leslie-Gower and Holling-type II schemes with regime switching

DOI10.1216/RMJ-2018-48-4-1201zbMath1434.60143WikidataQ115517555 ScholiaQ115517555MaRDI QIDQ1799890

Jingliang Lv, Ke Wang

Publication date: 19 October 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1538272830

zbMATH Keywords

Markov chainscomparison theorempredator-preyMarkovian switchingoptimal harvest policy

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Cites Work

• On hybrid competitive Lotka-Volterra ecosystems
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
• Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
• Dynamics of a stochastic Lotka-Volterra model perturbed by white noise
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• Stochastic population dynamics under regime switching. II
• On competitive Lotka-Volterra model in random environments
• Asymptotic behaviour of the stochastic Lotka-Volterra model.
• Stochastic population dynamics under regime switching
• Stochastic Differential Equations with Markovian Switching

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