13 citations · 15 across the 4 of their papers we have counts for
4 papers
(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…
A geometric construction of travelling wave solutions to the Keller-Segel model
Kristen Harley, Peter van Heijster, Graeme Pettet
We study a version of the Keller-Segel model for bacterial chemotaxis, for which exact travelling wave solutions are explicitly known in the zero attractant diffusion limit. Using…
Novel solutions for a model of wound healing angiogenesis
Kristen Harley, Peter van Heijster, Robert Marangell +2
We prove the existence of novel, shock-fronted travelling wave solutions to a model of wound healing angiogenesis studied in Pettet et al., IMA J. Math. App. Med., 17, 2000. In thi…
Numerical computation of an Evans function for travelling waves
K. Harley, P. v Heijster, R. Marangell +2
We demonstrate a geometrically inspired technique for computing Evans functions for the linearised operators about travelling waves. Using the examples of the F-KPP equation and a…