Numerical simulation and qualitative analysis for a predator-prey model with B-d functional response

DOI10.1016/J.MATCOM.2015.05.006OpenAlexW2152084560WikidataQ115569130 ScholiaQ115569130MaRDI QIDQ2228667

Hongling Jiang, Ruofei Yao, Li Juan Wang

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2015.05.006

zbMATH Keywords

stabilityexistencepredator-preynumerical simulationBeddington-DeAngelis

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (5)

Traveling waves for a generalized Beddington-DeAngelis predator-prey model ⋮ The problem of the nonlinear diffusive predator-prey model with the same biotic resource ⋮ Unnamed Item ⋮ A single consumer model with Neumann boundary condition ⋮ Turing Instability and Bifurcation in a Diffusion Predator–Prey Model with Beddington–DeAngelis Functional Response

Cites Work

• Non-constant positive steady-states of a diffusive predator--prey system in homogeneous environment
• Global stability of the equilibrium of a diffusive Holling-Tanner prey-predator model
• Global asymptotic stability of positive steady states of a diffusive ratio-dependent prey-predator model
• Qualitative analysis on a reaction-diffusion prey-predator model and the corresponding steady-states
• Metastability in a temperature-dependent model system for predator-prey mite outbreak interactions on fruit trees
• Global bifurcation and structure of Turing patterns in the 1-D Lengyel-Epstein model
• A diffusive predator-prey model in heterogeneous environment
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Asymptotic behaviour of positive steady states to a predator—prey model
• Dynamics of a Predator-Prey Model
• The Bifurcation Structure of the Holling--Tanner Model for Predator-Prey Interactions Using Two-Timing
• Positive steady states of the Holling–Tanner prey–predator model with diffusion
• Global Stability for a Class of Predator-Prey Systems
• Uniqueness and stability of steady states for a predator-prey model in heterogeneous environment

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