Spatiotemporal dynamics in a diffusive predator-prey model with multiple Allee effect and herd behavior

DOI10.1016/j.jmaa.2023.127569zbMath1522.92055arXiv2302.01901OpenAlexW4383533058MaRDI QIDQ6074491

Yong-Hui Xia, Jianglong Xiao

Publication date: 19 September 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.01901

zbMATH Keywords

predator-preyHopf bifurcationTuring instabilityherd behaviorsteady state bifurcationmultiple Allee effect

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32)

Cites Work

• Unnamed Item
• Unnamed Item
• Global dynamics of a predator-prey model with defense mechanism for prey
• Turing-Hopf bifurcation analysis of a predator-prey model with herd behavior and cross-diffusion
• Bifurcation analysis and Turing instability in a diffusive predator-prey model with herd behavior and hyperbolic mortality
• Modeling herd behavior in population systems
• Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
• Qualitative analysis of a predator-prey system with double Allee effect in prey
• Dynamics of a modified Leslie-Gower model with double Allee effects
• Cross-diffusion induced spatiotemporal patterns in a predator-prey model with herd behavior
• Diffusion-driven instability and bifurcation in the Lengyel-Epstein system
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Emergent impacts of quadratic mortality on pattern formation in a predator-prey system
• Allee effect acting on the prey species in a Leslie-Gower predation model
• Complex dynamics of a diffusive predator-prey model with strong allee effect and threshold harvesting
• Predator-prey dynamics with square root functional responses
• Turing-Hopf bifurcations in a predator-prey model with herd behavior, quadratic mortality and prey-taxis
• Turing-Hopf bifurcation in the reaction-diffusion equations and its applications
• Spatial movement with diffusion and memory-based self-diffusion and cross-diffusion
• Spatial-temporal dynamics of a Lotka-Volterra competition model with nonlocal dispersal under shifting environment
• Bifurcation analysis of a diffusive ratio-dependent predator-prey model
• Bifurcation analysis of a delayed predator–prey system with strong Allee effect and diffusion
• Spatial dynamics in a predator-prey model with herd behavior
• Bifurcation analysis of a diffusive predator–prey system with a herd behavior and quadratic mortality
• Stability, Steady‐State Bifurcations, and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis
• Spatiotemporal Model of a Predator–Prey System with Herd Behavior and Quadratic Mortality
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• DELAY INDUCED SUBCRITICAL HOPF BIFURCATION IN A DIFFUSIVE PREDATOR-PREY MODEL WITH HERD BEHAVIOR AND HYPERBOLIC MORTALITY
• Dynamics in a diffusive predator–prey system with double Allee effect and modified Leslie–Gower scheme
• Qualitative analysis of a spatiotemporal prey-predator model with multiple Allee effect and schooling behaviour
• Dynamics of Leslie-Gower model with double Allee effect on prey and mutual interference among predators

This page was built for publication: Spatiotemporal dynamics in a diffusive predator-prey model with multiple Allee effect and herd behavior