Pattern formation of a predator-prey model

DOI10.1016/j.nahs.2008.12.004zbMath1184.92056OpenAlexW2091157641WikidataQ115568751 ScholiaQ115568751MaRDI QIDQ963740

Pan-Ping Liu, Zhen Jin

Publication date: 14 April 2010

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2008.12.004

zbMATH Keywords

pattern formationpredator-preyratio-dependent

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Reaction-diffusion equations (35K57) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Ecology (92D40)

Related Items (3)

Traveling wave governs the stability of spatial pattern in a model of allelopathic competition interactions ⋮ Spatiotemporal Patterns in a Predator–Prey Model with Cross-Diffusion Effect ⋮ Dynamics of food-chain models with density-dependent diffusion and ratio-dependent reaction function

Cites Work

• Turing patterns in a modified Lotka-Volterra model
• Global qualitative analysis of a ratio-dependent predator-prey system
• An explicitly spatial version of the Lotka-Volterra model with interspecific competition
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Instabilities in spatially extended predator-prey systems: spatio-temporal patterns in the neighborhood of Turing-Hopf bifurcations
• Spatiotemporal Complexity of Plankton and Fish Dynamics
• The chemical basis of morphogenesis
• Mathematical and Computational Challenges in Population Biology and Ecosystems Science
• Self-organized spatial structures in a ratio-dependent predator-prey model

This page was built for publication: Pattern formation of a predator-prey model