Dynamics and pattern formation in homogeneous diffusive predator-prey systems with predator interference or foraging facilitation

DOI10.1016/J.NONRWA.2019.01.016zbMath1425.92169OpenAlexW2914555739WikidataQ128420429 ScholiaQ128420429MaRDI QIDQ2328882

Honglan Zhu, Xuebing Zhang

Publication date: 16 October 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2019.01.016

zbMATH Keywords

stabilitydiffusionpersistencespatial pattern

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Ecology (92D40)

Related Items (10)

Hopf bifurcation analysis of a delayed diffusive predator-prey model with predator interference or foraging facilitation ⋮ The diffusion-driven instability for a general time-space discrete host-parasitoid model ⋮ Pattern dynamics analysis of a time-space discrete FitzHugh-Nagumo (FHN) model based on coupled map lattices ⋮ Delay-driven instability and ecological control in a food-limited population networked system ⋮ Effect of toxicant on the dynamics of a delayed diffusive predator-prey model ⋮ Point to point traveling wave and periodic traveling wave induced by Hopf bifurcation for a diffusive predator-prey system ⋮ Stability and cross-diffusion-driven instability in a diffusive predator-prey system with hunting cooperation functional response ⋮ Hopf bifurcation in an activator-inhibitor system with network ⋮ Characterizing the Effects of Self- and Cross-Diffusion on Stationary Patterns of a Predator–Prey System ⋮ Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting

Cites Work

• Fish-hook bifurcation branch in a spatial heterogeneous epidemic model with cross-diffusion
• Dynamics and patterns of a diffusive Leslie-Gower prey-predator model with strong Allee effect in prey
• Pattern formation in a cross-diffusion system
• Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems
• Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
• Geometric theory of semilinear parabolic equations
• Effects of spatial grouping on the functional response of predators
• Global dynamics for a diffusive predator-prey model with prey-taxis and classical Lotka-Volterra kinetics
• Complex dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment
• Diffusion, self-diffusion and cross-diffusion
• Deriving reaction-diffusion models in ecology from interacting particle systems
• Mathematical analysis and numerical simulation of pattern formation under cross-diffusion
• Spatiotemporal patterns in a reaction-diffusion model with the Degn-Harrison reaction scheme
• Pattern formation driven by cross-diffusion in a 2D domain
• Hopf and steady state bifurcation analysis in a ratio-dependent predator-prey model
• Predator interference and stability of predator-prey dynamics
• Impacts of foraging facilitation among predators on predator-prey dynamics
• Permanence in ecological systems with spatial heterogeneity

This page was built for publication: Dynamics and pattern formation in homogeneous diffusive predator-prey systems with predator interference or foraging facilitation