13 citations · 15 across the 4 of their papers we have counts for
3 papers · 1 filter
(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…