Stability analysis of diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes

DOI10.1007/s10440-011-9607-9zbMath1216.35159OpenAlexW2158757715WikidataQ115605548 ScholiaQ115605548MaRDI QIDQ538387

Yanling Tian, Pei-xuan Weng

Publication date: 25 May 2011

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-011-9607-9

zbMATH Keywords

stabilitypersistencecomparison methoddiffusive predator-prey modelmodified Leslie-Gower and Holling-type II schemes

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items (9)

Bifurcations and multistability on the May-Holling-Tanner predation model considering alternative food for the predators ⋮ Predator-prey pattern formation driven by population diffusion based on Moore neighborhood structure ⋮ Survivability and stochastic bifurcations for a stochastic Holling type II predator-prey model ⋮ Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes. ⋮ Positive solutions of a diffusive Leslie-Gower predator-prey model with Bazykin functional response ⋮ Traveling wave solutions of a diffusive predator-prey model with modified Leslie-Gower and Holling-type II schemes ⋮ On existence, multiplicity, uniqueness and stability of positive solutions of a Leslie–Gower type diffusive predator–prey system ⋮ Spatiotemporal Dynamics of a Modified Leslie–Gower Model with Weak Allee Effect ⋮ Qualitative analysis of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses

Cites Work

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• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Dynamics of nonlinear parabolic systems with time delays
• Global stability of a model for competing predators: An extension of the Ardito \& Ricciardi Lyapunov function
• A ratio-dependent predator-prey model with diffusion
• Effect of seasonality on the dynamics of 2 and 3 species prey\,-\,predator systems
• Persistence and global stability in a delayed Leslie-Gower type three species food chain
• Note on a ratio-dependent predator--prey system with diffusion
• Global solutions for quasilinear parabolic systems with cross-diffusion effects

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