Turing instability and Hopf bifurcation in a diffusive Leslie-Gower predator-prey model

DOI10.1002/mma.3853zbMath1354.35172OpenAlexW2491004614MaRDI QIDQ3187859

Yangyang Liu, Yahong Peng

Publication date: 5 September 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3853

zbMATH Keywords

Hopf bifurcationreaction-diffusionpredator-prey modelTuring instabilityHolling-type II

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32)

Related Items (4)

A spatiotemporal prey-predator discrete model and optimal controls for environmental sustainability in the multifishing areas of Morocco ⋮ Dynamics analysis of a predator-prey model with herd behavior and nonlocal prey competition ⋮ Stability and global Hopf bifurcation in a Leslie-Gower predator-prey model with stage structure for prey ⋮ Pattern formation in a ratio-dependent predator-prey model with cross-diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Turing instability for a ratio-dependent predator-prey model with diffusion
• Stability and instability analysis for a ratio-dependent predator-prey system with diffusion effect
• Turing instability in a coupled predator-prey model with different Holling type functional responses
• Hopf bifurcations in a predator-prey diffusion system with Beddington-DeAngelis response
• Bifurcation analysis of a diffusive predator-prey system with nonconstant death rate and Holling III functional response
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Study of a Leslie-Gower-type tritrophic population model
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Stability, Hopf bifurcations and spatial patterns in a delayed diffusive predator-prey model with herd behavior
• The existence, bifurcation and stability of positive stationary solutions of a diffusive Leslie-Gower predator-prey model with Holling-type II functional responses
• Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point
• GLOBAL STABILITY AND HOPF BIFURCATION IN A DELAYED DIFFUSIVE LESLIE–GOWER PREDATOR–PREY SYSTEM
• Bifurcation analysis of a diffusive predator–prey system with a herd behavior and quadratic mortality
• Diffusion-driven stability and bifurcation in a predator–prey system withIvlev-type functional response
• Hopf bifurcation and Turing instability in the reaction-diffusion Holling-Tanner predator-prey model

This page was built for publication: Turing instability and Hopf bifurcation in a diffusive Leslie-Gower predator-prey model