24 citations · 32 across the 3 of their papers we have counts for
3 papers
math.DS2019★ 2 cited
(In)Stability of Travelling Waves in a Model of Haptotaxis
K. E. Harley, P. van Heijster, R. Marangell +3
We examine the spectral stability of travelling waves of the haptotaxis model studied in Harley et al (2014a). In the process we apply Liénard coordinates to the linearised stabili…
math.AP2018★ 6 cited
Traveling wave solutions in a model for tumor invasion with the acid-mediation hypothesis
P. N. Davis, P. van Heijster, R. Marangell +1
In this manuscript, we prove the existence of slow and fast traveling wave solutions in the original Gatenby--Gawlinski model. We prove the existence of a slow traveling wave solut…
nlin.PS2010★ 24 cited
Localized standing waves in inhomogeneous Schrodinger equations
R. Marangell, C. K. R. T. Jones, H. Susanto
A nonlinear Schrodinger equation arising from light propagation down an inhomogeneous medium is considered. The inhomogeneity is reflected through a non-uniform coefficient of the…