Global bifurcation of solutions for a predator–prey model with prey‐taxis
From MaRDI portal
Publication:5178134
DOI10.1002/mma.3079zbMath1307.92333OpenAlexW2046417763MaRDI QIDQ5178134
Guohong Zhang, Wendi Wang, Xiaoli Wang
Publication date: 13 March 2015
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3079
stabilitya priori estimatesspectrumglobal bifurcationpredator-prey modelreaction-diffusion-taxis system
Related Items (52)
Global dynamics of a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and prey-taxis ⋮ Dynamics and pattern formations in a three-species predator-prey model with two prey-taxis ⋮ Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis ⋮ Stationary pattern and bifurcation of a Leslie-Gower predator-prey model with prey-taxis ⋮ A reaction-diffusion predator-prey model with pursuit, evasion, and nonlocal sensing ⋮ Global Existence and Asymptotic Behavior in a Predator-Prey-Mutualist Model with Prey-Taxis ⋮ A chemotaxis predator-prey model with indirect pursuit-evasion dynamics and parabolic signal ⋮ Stability and double-Hopf bifurcations of a Gause-Kolmogorov-type predator-prey system with indirect prey-taxis ⋮ Dynamics of a predator–prey system with nonlinear prey-taxis ⋮ Nonconstant positive solutions to the ratio-dependent predator-prey system with prey-taxis in one dimension ⋮ Global dynamics for a diffusive predator-prey model with prey-taxis and classical Lotka-Volterra kinetics ⋮ Pattern formation in a predator-mediated coexistence model with prey-taxis ⋮ Bifurcation analysis of a predator-prey model with memory-based diffusion ⋮ Spatiotemporal dynamics of a diffusive consumer‐resource model with explicit spatial memory ⋮ Dynamics for a three-species predator-prey model with density-dependent motilities ⋮ Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems ⋮ The vanishing viscosity limit on a model of Kareiva-Odell type in 2D ⋮ Double-Hopf bifurcation and pattern formation of a Gause-Kolmogorov-type system with indirect prey-taxis and direct predator-taxis ⋮ Dynamic analysis of a diffusive predator-prey model with hunting cooperation functional response and prey-taxis ⋮ Nonconstant steady states in a predator-prey system with density-dependent motility ⋮ A predator–prey model with taxis mechanisms and stage structure for the predator ⋮ Global solution of a diffusive predator-prey model with prey-taxis ⋮ Bifurcation branch of stationary solutions in a general predator-prey system with prey-taxis ⋮ Unnamed Item ⋮ Pattern formation of a predator-prey model with the cost of anti-predator behaviors ⋮ Boundedness and large time behavior of solutions to a prey-taxis system accounting in liquid surrounding ⋮ Global bifurcation for a Holling-Tanner predator-prey model with prey-taxis ⋮ Dynamics and pattern formation of a diffusive predator–prey model with predator-taxis ⋮ A quasilinear predator-prey model with indirect prey-taxis ⋮ Stationary and time-periodic patterns of two-predator and one-prey systems with prey-taxis ⋮ Global existence of classical solutions to the cross-diffusion three-species model with prey-taxis ⋮ Nonconstant positive steady states and pattern formation of 1D prey-taxis systems ⋮ Pattern formation in predator prey systems with consuming resource and prey-taxis ⋮ Global boundedness in a chemotaxis quasilinear parabolic predator-prey system with pursuit-evasion ⋮ Asymptotic behavior in a doubly tactic resource consumption model with proliferation ⋮ Boundedness and global stability of the two-predator and one-prey models with nonlinear prey-taxis ⋮ Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis ⋮ Global stability of prey-taxis systems ⋮ Unnamed Item ⋮ A model of the burglar alarm hypothesis of prey alarm calls ⋮ Stability and Bifurcation in a Predator–Prey System with Prey-Taxis ⋮ Global boundedness of a diffusive prey-predator model with indirect prey-taxis and predator-taxis ⋮ Attraction-repulsion taxis mechanisms in a predator-prey model ⋮ Spatiotemporal dynamics of an NPZ model with prey-taxis and intratrophic predation ⋮ The dynamics of a predator-prey model with diffusion and indirect prey-taxis ⋮ Dynamics and pattern formation in a cross-diffusion model with stage structure for predators ⋮ Local bifurcation of a Ronsenzwing-MacArthur predator prey model with two prey-taxis ⋮ Global existence and stability of the classical solution to a density-dependent prey-predator model with indirect prey-taxis ⋮ On global bifurcation for a cross-diffusion predator-prey system with prey-taxis ⋮ Stationary Patterns of a Predator–Prey Model with Prey-Stage Structure and Prey-Taxis ⋮ Uniform boundedness for a predator-prey system with chemotaxis and dormancy of predators ⋮ Asymptotic dynamics and spatial patterns of a ratio-dependent predator–prey system with prey-taxis
Cites Work
- Unnamed Item
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- Continuous traveling waves for prey-taxis
- Global existence of classical solutions to a predator-prey model with nonlinear prey-taxis
- Analysis of a reaction-diffusion system modeling predator-prey with prey-taxis
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- A reaction-diffusion system modeling predator-prey with prey-taxis
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Steady states of models of microbial growth and competition with chemotaxis
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Bifurcation from simple eigenvalues
- Stability of bifurcating solutions by Leray-Schauder degree
- Pattern formation in prey-taxis systems
This page was built for publication: Global bifurcation of solutions for a predator–prey model with prey‐taxis