Deformations of acid-mediated invasive tumors in a model with Allee
effect
Deformations of acid-mediated invasive tumors in a model with Allee
effect
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 singular perturbation techniques in different parameter regimes corresponding to tumor interfaces with, or without, acellular gap. By extending the front as a planar interface, we …