2 papers
nlin.PS2026
Vacuum bubble and fissure formation in collective motion with competing attractive and repulsive forces
Olivia Clifton, Angel Chavez, Antonio Madrigal +3
We study the continuum limit of the motion of agents in the plane driven by competing short-range repulsion and long-range attractive forces. At a critical parameter value, we find…
math.AP2024
Deformations of acid-mediated invasive tumors in a model with Allee effect
Paul Carter, Arjen Doelman, Peter van Heijster +4
We consider a Gatenby--Gawlinski-type model of invasive tumors in the presence of an Allee effect. We describe the construction of bistable one-dimensional traveling fronts using s…