The effects of dispersal and spatial heterogeneity on the dynamics of a predator-prey model
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Publication:2079857
DOI10.1007/s00526-022-02319-zzbMath1498.35039OpenAlexW4297236651WikidataQ115385943 ScholiaQ115385943MaRDI QIDQ2079857
Publication date: 7 October 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-022-02319-z
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)
Cites Work
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- Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II
- Reaction-diffusion-advection models for the effects and evolution of dispersal
- The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system. II: The general case
- Local dynamics of a diffusive predator-prey model in spatially heterogeneous environment
- The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity
- On the dependence of population size upon random dispersal rate
- On positive solutions of some pairs of differential equations. II
- Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system
- On global bifurcation for quasilinear elliptic systems on bounded domains
- Multiparameter local bifurcation based on the linear part
- The evolution of slow dispersal rates: a reaction diffusion model
- On the existence of positive eigenfunctions for an eigenvalue problem with indefinite weight function
- Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions
- Effects of a degeneracy in the competition model. II: Perturbation and dynamical behaviour
- Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. III
- Positive steady states of a diffusive predator-prey system with predator cannibalism
- Tracking prey or tracking the prey's resource? Mechanisms of movement and optimal habitat selection by predators
- Dynamics of a diffusive competition model in spatially heterogeneous environment
- A diffusive predator-prey model in heterogeneous environment
- A spatially heterogeneous predator-prey model
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Some monotone properties for solutions to a reaction-diffusion model
- Qualitative analysis of a Lotka-Volterra predator-prey system with migration
- On the effects of migration and spatial heterogeneity on single and multiple species
- Some global results for nonlinear eigenvalue problems
- Bifurcation from simple eigenvalues
- Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
- The effect of interaction ratio in a chemical reaction
- Global bifurcation for Fredholm operators
- On Positive Solutions of Some Pairs of Differential Equations
- Bifurcation of steady-state solutions in predator-prey and competition systems
- Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
- Diffusive logistic equations with indefinite weights: population models in disrupted environments
- Global Bifurcation of Positive Solutions in Some Systems of Elliptic Equations
- Bifurcation from simple eigenvalues for several parameter families
- Diffusion-mediated permanence problem for a heterogeneous Lotka–Volterra competition model
- Spatial Ecology via Reaction‐Diffusion Equations
- Bifurcation analysis of a diffusive predator-prey model in spatially heterogeneous environment
- Multjparameter nonlinear eigenvalue problems: positive solutions to elliptic lotka-volterra systems
- Effects of Certain Degeneracies in the Predator-Prey Model
- Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems
- Linear Second Order Elliptic Operators
- Global structure of subharmonics in a class of periodic predator-prey models
- Multiple positive steady states of a diffusive predator‐prey model in spatially heterogeneous environments