Spatiotemporal pattern formation in a prey–predator model with generalist predator
DOI10.1051/mmnp/2022007zbMath1487.35062OpenAlexW4220777538WikidataQ114105338 ScholiaQ114105338MaRDI QIDQ5071842
Publication date: 22 April 2022
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/2022007
pattern formationperiodic boundary conditionstraveling wavesTuring instabilityweakly nonlinear analysisgeneralist predatornonlocal prey consumption
Reaction-diffusion equations (35K57) Developmental biology, pattern formation (92C15) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Traveling wave solutions (35C07) Initial-boundary value problems for second-order parabolic systems (35K51) Pattern formations in context of PDEs (35B36)
Related Items
Cites Work
- Pattern formation in spatially extended tritrophic food chain model systems: generalist versus specialist top predator
- A non-linear analysis for spatial structure in a reaction-diffusion model
- Pattern formation in a three-species cyclic competition model
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Biological control with nonlocal interactions
- Weakly nonlinear analysis of Turing patterns in a morphochemical model for metal growth
- Turing patterns in a diffusive Holling-Tanner predator-prey model with an alternative food source for the predator
- Effects of boundary conditions on pattern formation in a nonlocal prey-predator model
- Spatiotemporal complexity of patchy invasion in a predator-prey system with the Allee effect.
- Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
- Instabilities and spatiotemporal patterns behind predator invasions with nonlocal prey competition
- Effect of kernels on spatio-temporal patterns of a non-local prey-predator model
- A nonlinear stability analysis of vegetative Turing pattern formation for an interaction-diffusion plant-surface water model system in an arid flat environment
- Pattern formation in a model of competing populations with nonlocal interactions
- Pattern formation for a two-dimensional reaction-diffusion model with chemotaxis
- Spatiotemporal Complexity of Plankton and Fish Dynamics
- Control of invasive hosts by generalist parasitoids
- Elements of Mathematical Ecology
- Pattern Dynamics in a Spatial Predator–Prey Model with Nonmonotonic Response Function
- Prey-predator model with a nonlocal consumption of prey
- The chemical basis of morphogenesis
- Models for Predator-Prey Systems at Multiple Scales
- Analytical and numerical detection of traveling wave and wave-train solutions in a prey-predator model with weak Allee effect