Bifurcations in a diffusive predator-prey model with Beddington-DeAngelis functional response and nonselective harvesting

DOI10.1007/s00332-018-9487-5zbMath1415.37111OpenAlexW2887638171MaRDI QIDQ2633564

Xiuli Sun, Luan Wang, Rong Yuan

Publication date: 9 May 2019

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-018-9487-5

zbMATH Keywords

bifurcationLyapunov-Schmidt reductionreaction-diffusionBeddington-DeAngelis functional responsenonselective harvesting

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Periodic solutions to PDEs (35B10) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcations in context of PDEs (35B32) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50)

Related Items

Stability and Hopf bifurcation for a delayed predator-prey model with stage structure for prey and Ivlev-type functional response ⋮ Hopf bifurcation analysis in a diffusive predator-prey system with spatial heterogeneity and delays ⋮ Hopf bifurcation in a reaction-diffusion-advection equation with nonlocal delay effect ⋮ Unnamed Item ⋮ Traveling wave phenomena in a nonlocal dispersal predator-prey system with the Beddington-DeAngelis functional response and harvesting ⋮ Spatiotemporal patterns in a diffusive predator-prey model with prey social behavior ⋮ Existence of positive periodic solutions for a neutral impulsive predator-prey model with Crowley-Martin functional response ⋮ Bifurcation Analysis of a Diffusive Predator–Prey Model with Monod–Haldane Functional Response ⋮ Bifurcation analysis in a singular Beddington-DeAngelis predator-prey model with two delays and nonlinear predator harvesting

Cites Work

• Unnamed Item
• Analysis on bifurcation for a predator-prey model with Beddington-DeAngelis functional response and non-selective harvesting
• Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Spatiotemporal dynamics of reaction-diffusion models of interacting populations
• Dynamic behaviour of a reaction-diffusion predator-prey model with both refuge and harvesting
• Stability and Hopf bifurcation in a diffusive logistic population model with nonlocal delay effect
• Hopf bifurcation and stability analysis in a harvested one-predator-two-prey model
• Stability and Hopf bifurcation for a population delay model with diffusion effects
• Hopf bifurcation in a diffusive logistic equation with mixed delayed and instantaneous density dependence
• Bifurcation theory of functional differential equations
• Limiting structure of steady-states to the Lotka-Volterra competition model with large diffusion and advection
• Stability and bifurcation in a reaction-diffusion model with nonlocal delay effect
• Dynamics of additional food provided predator-prey system with mutually interfering predators
• Multiplicity and uniqueness of positive solutions for a predator-prey model with B-D functional response
• Existence of spatiotemporal patterns in the reaction–diffusion predator–prey model incorporating prey refuge
• Spatial pattern in a diffusive predator–prey model with sigmoid ratio-dependent functional response
• Boundary-value problems for partial differential equations in non-smooth domains
• Elements of Mathematical Ecology
• Existence of spatial patterns in reaction–diffusion systems incorporating a prey refuge
• Bifurcations of a Ratio-Dependent Predator-Prey System with Constant Rate Harvesting
• Functional differential equations
• Stability and bifurcation for a delayed predator-prey model and the effect of diffusion