The Influence of Dirichlet Boundary Conditions on the Dynamics for a Diffusive Predator–Prey System
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Publication:5197643
DOI10.1142/S021812741950113XzbMath1423.35203OpenAlexW2971149938WikidataQ115523650 ScholiaQ115523650MaRDI QIDQ5197643
Yingwei Song, Jun Jiang, Jin-Feng Wang
Publication date: 19 September 2019
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021812741950113x
Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
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- Nonexistence of traveling wave solutions, exact and semi-exact traveling wave solutions for diffusive Lotka-Volterra systems of three competing species
- Pattern formation in a cross-diffusion system
- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Bifurcation analysis and transient spatio-temporal dynamics for a diffusive plant-herbivore system with Dirichlet boundary conditions
- Global bifurcation analysis and pattern formation in homogeneous diffusive predator-prey systems
- Turing patterns in a modified Lotka-Volterra model
- Coexistence states of a Holling type-II predator-prey system
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Non-existence of non-constant positive steady states of two Holling type-II predator-prey systems: strong interaction case
- Diffusion, self-diffusion and cross-diffusion
- Stability and bifurcation of steady-state solutions for predator-prey equations
- Deriving reaction-diffusion models in ecology from interacting particle systems
- Strong Allee effect in a diffusive predator-prey system with a protection zone
- Bifurcation from simple eigenvalues
- Global existence of solutions and uniform persistence of a diffusive predator-prey model with prey-taxis
- Persistence, Stability and Hopf Bifurcation in a Diffusive Ratio-Dependent Predator–Prey Model with Delay
- Bifurcation Analysis and Spatiotemporal Patterns in a Diffusive Predator–Prey Model
- Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
- Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
- LPBounds of solutions of reaction-diffusion equations
- Dynamics and pattern formation of a diffusive predator–prey model with predator-taxis