32 citations · 52 across the 9 of their papers we have counts for
5 papers · 1 filter
Analysing transitions from a Turing instability to large periodic patterns in a reaction-diffusion system
Christopher Brown, Gianne Derks, Peter van Heijster +1
Analytically tracking patterns emerging from a small amplitude Turing instability to large amplitude remains a challenge as no general theory exists. In this paper, we consider a t…
Stability analysis of a modified Leslie-Gower predation model with weak Allee effect on the prey
Claudio Arancibia-Ibarra, José Flores, Peter van Heijster
In this manuscript, we study a Leslie-Gower predator-prey model with a hyperbolic functional response and weak Allee effect. The results reveal that the model supports coexistence…
Absolute instabilities of travelling wave solutions in a Keller-Segel model
P. N. Davis, P. van Heijster, R. Marangell
We investigate the spectral stability of travelling wave solutions in a Keller-Segel model of bacterial chemotaxis with a logarithmic chemosensitivity function and a constant, subl…
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…