A PDE model for the dynamics of trail formation by ants

DOI10.1016/j.jmaa.2014.12.030zbMath1311.35325OpenAlexW2064145921MaRDI QIDQ486529

Avner Friedman, Marco Antonio Fontelos

Publication date: 16 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.12.030

zbMATH Keywords

bifurcationchemotactic aggregationPDE model for ant trail formation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) Cell movement (chemotaxis, etc.) (92C17)

Related Items

An ant navigation model based on Weber's law, Interacting particles systems with delay and random delay differential equations, Analysis of a model of self-propelled agents interacting through pheromone

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A survey of random processes with reinforcement
• Biased random walk models for chemotaxis and related diffusion approximations
• Elliptic partial differential equations of second order
• Ant foraging and geodesic paths in labyrinths: analytical and computational results
• Vertex-reinforced random walk on arbitrary graphs
• Trail formation based on directed pheromone deposition
• Singular perturbation of differential integral equations describing biased random walks.
• Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
• Reinforced random walk