Dynamic behaviors of a discrete two species predator-prey system incorporating harvesting

DOI10.1155/2012/429076zbMath1253.39009OpenAlexW2125485027WikidataQ58700551 ScholiaQ58700551MaRDI QIDQ714254

Ting Wu

Publication date: 19 October 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/429076

zbMATH Keywords

maximum principleasymptotic stabilitypositive equilibriumdiscrete Hamiltonian functiondiscrete two species predator-prey captured systemeigenvalue discriminant method

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

Related Items (4)

Global dynamics of a Holling Type-III two prey-one predator discrete model with optimal harvest strategy ⋮ DYNAMICAL STUDY OF DISCRETE-TIME PREY–PREDATOR MODEL WITH CONSTANT PREY REFUGE UNDER IMPRECISE BIOLOGICAL PARAMETERS ⋮ A new approach to global stability of discrete Lotka-Volterra predator-prey models ⋮ Global stability in \(n\)-dimensional discrete Lotka-Volterra predator-prey models

Cites Work

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• Dynamic behaviors of a harvesting Leslie-Gower predator-prey model
• A boundary value problem for a nonlinear ordinary differential equation involving a small parameter. - The Riemann problem for a generalized diffusion equation
• Optimal harvesting policy for single population with periodic coefficients
• A Lyapunov function for Leslie-Gower predator-prey models
• Four positive periodic solutions of a discrete time delayed predator-prey system with nonmonotonic functional response and harvesting
• Modelling and analysis of a harvested prey--predator system incorporating a prey refuge
• A STOCHASTIC MODEL FOR STUDYING THE PROPERTIES OF CERTAIN BIOLOGICAL SYSTEMS BY NUMERICAL METHODS
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS

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