12 citations · 12 across the 2 of their papers we have counts for
2 papers
math.AP2023
Biological Aggregations from Spatial Memory and Nonlocal Advection
Di Liu, Yurij Salmaniw, Jonathan R. Potts +2
We investigate a nonlocal single-species reaction-diffusion-advection model that integrates the spatial memory of previously visited locations and nonlocal detection in space, resu…
math-ph2011★ 12 cited
Brownian walkers within subdiffusing territorial boundaries
Luca Giuggioli, Jonathan R. Potts, Stephen Harris
Inspired by the collective phenomenon of territorial emergence, whereby animals move and interact through the scent marks they deposit, we study the dynamics of a 1D Brownian walke…