Consequences of refuge and diffusion in a spatiotemporal predator-prey model
From MaRDI portal
Publication:2025913
DOI10.1016/j.nonrwa.2021.103311zbMath1464.35021OpenAlexW3130820105MaRDI QIDQ2025913
Renji Han, Binxiang Dai, Lakshmi Narayan Guin
Publication date: 17 May 2021
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103311
persistencereaction-diffusion modelprey refugediffusion-driven instabilitynon-constant steady statespatiotemporal pattern formation
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
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Cites Work
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- Dynamics and pattern formation in a diffusive predator-prey system with strong Allee effect in prey
- Dynamics of the density dependent predator-prey system with Beddington-DeAngelis functional response
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- Qualitative analysis of a predator-prey model with constant-rate prey harvesting incorporating a constant prey refuge
- Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes
- The effects of refuges on predator-prey interactions: A reconsideration
- Large amplitude stationary solutions to a chemotaxis system
- Geometric theory of semilinear parabolic equations
- Effects of optimal antipredator behavior of prey on predator-prey dynamics: The role of refuges
- Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge
- Short term refuge use and stability of predator-prey models
- Rich dynamics of a ratio-dependent one-prey two-predators model
- Dynamic behaviour of a reaction-diffusion predator-prey model with both refuge and harvesting
- Dynamics of a predator-prey model with Holling type II functional response incorporating a prey refuge depending on both the species
- Spatiotemporal pattern formation and selection induced by nonlinear cross-diffusion in a toxic-phytoplankton-zooplankton model with Allee effect
- Diffusion, self-diffusion and cross-diffusion
- Variability, vagueness and comparison methods for ecological models
- Spatial patterns of a predator-prey model with cross diffusion
- Cross-diffusion-driven instability for reaction-diffusion systems: analysis and simulations
- Effect of prey refuge on spatiotemporal dynamics of the reaction-diffusion system
- Study on a non-autonomous predator-prey system with Beddington-DeAngelis functional response
- Finite-difference schemes for reaction-diffusion equations modeling predator-prey interactions in MATLAB
- Pattern Formation and Dynamics in Nonequilibrium Systems
- Spatial, temporal and spatiotemporal patterns of diffusive predator–prey models with mutual interference
- Qualitative analysis of a ratio-dependent predator–prey system with diffusion
- Dynamics of a Harvested Prey–Predator Model with Prey Refuge Dependent on Both Species
- Spatiotemporal Patterns in a Predator–Prey Model with Cross-Diffusion Effect
- On the dynamics of predator-prey models with the Beddington-DeAngelis functional response
