Turing patterns in a predator-prey system with self-diffusion
From MaRDI portal
Publication:2319228
DOI10.1155/2013/891738zbMath1420.92101OpenAlexW2005125359WikidataQ58917671 ScholiaQ58917671MaRDI QIDQ2319228
Xiaoqing Wen, Xiao-Yong Xiao, Hong-Wei Yin
Publication date: 16 August 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/891738
Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Developmental biology, pattern formation (92C15) Ecology (92D40)
Related Items (5)
Turing instability in nonlinear chemical oscillators coupled via an active medium ⋮ Analysis of a Lévy-diffusion Leslie-gower predator-prey model with nonmonotonic functional response ⋮ Positive solutions of a diffusive predator-prey system including disease for prey and equipped with Dirichlet boundary condition ⋮ Turing patterns in a reaction-diffusion system modeling hunting cooperation ⋮ On pattern formation in reaction-diffusion systems containing self- and cross-diffusion
Cites Work
- Unnamed Item
- Spatiotemporal dynamics of a Leslie-Gower predator-prey model incorporating a prey refuge
- Turing patterns of a strongly coupled predator-prey system with diffusion effects
- Competing through altering the environment: a cross-diffusion population model coupled to transport-Darcy flow equations
- Turing pattern formation in a predator-prey-mutualist system
- Turing patterns in a modified Lotka-Volterra model
- Pattern formation and the spatial scale of interaction between predators and their prey
- Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with strongly coupled cross-diffusion
- On the global existence of a cross-diffusion system
- Diffusion and ecological problems: Modern perspectives.
- Mathematical biology. Vol. 1: An introduction.
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Global existence of solutions to a cross-diffusion system in higher dimensional domains
- Uniform boundedness and convergence of solutions to the systems with cross-diffusions dominated by self-diffusions
- Complex dynamics of a reaction-diffusion epidemic model
- Mathematical analysis and numerical simulation of pattern formation under cross-diffusion
- Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
- Instability induced by cross-diffusion in reaction-diffusion systems
- LONG-TIME PROPERTIES OF PREY-PREDATOR SYSTEM WITH CROSS-DIFFUSION
- The chemical basis of morphogenesis
This page was built for publication: Turing patterns in a predator-prey system with self-diffusion
