Turing patterns in a predator-prey model with seasonality

DOI10.1007/s00285-018-1289-8zbMath1408.35218OpenAlexW2889184727WikidataQ91192815 ScholiaQ91192815MaRDI QIDQ1731932

Frithjof Lutscher, Xiaoying Wang

Publication date: 15 March 2019

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-018-1289-8

zbMATH Keywords

pattern formationdiscrete systemreaction-diffusion equationTuring bifurcationconsumer-resourceimpulsive reproduction

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Developmental biology, pattern formation (92C15) Pattern formations in context of PDEs (35B36) Impulsive partial differential equations (35R12)

Related Items (14)

Turing patterns for a nonlocal Lotka-Volterra cooperative system ⋮ Reactivity of communities at equilibrium and periodic orbits ⋮ Turing patterns in a predator-prey reaction-diffusion model with seasonality and fear effect ⋮ Turing-Hopf bifurcation and bi-stable spatiotemporal periodic orbits in a delayed predator-prey model with predator-taxis ⋮ An integrodifference model for vegetation patterns in semi-arid environments with seasonality ⋮ Competitive coexistence of seasonal breeders ⋮ Analysis of stochastic sensitivity of Turing patterns in distributed reaction-diffusion systems ⋮ Effects of impulsive harvesting and an evolving domain in a diffusive logistic model* ⋮ Self-Organization in a Plankton Community with Herd Predation and Weakly Nonlinear Diffusion ⋮ Spatiotemporal patterns in a diffusive predator-prey model with prey social behavior ⋮ Coexistence of competing consumers on a single resource in a hybrid model ⋮ Turing instability and colony formation in spatially extended Rosenzweig-MacArthur predator-prey models with allochthonous resources ⋮ Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes ⋮ Stochastic phenomena in pattern formation for distributed nonlinear systems

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