43 citations · 43 across the 5 of their papers we have counts for
5 papers
Turing patterns in a diffusive Holling-Tanner predator-prey model with an alternative food source for the predator
Claudio Arancibia-Ibarra, Michael Bode, José Flores +2
In this manuscript, we consider temporal and spatio-temporal modified Holling-Tanner predator-prey models with predator-prey growth rate as a logistic type, Holling type II functio…
A modified May-Holling-Tanner predator-prey model with multiple Allee effects on the prey and an alternative food source for the predator
Claudio Arancibia-Ibarra, Michael Bode, José Flores +2
We study a predator-prey model with Holling type I functional response, an alternative food source for the predator, and multiple Allee effects on the prey. We show that the model…
A Holling-Tanner predator-prey model with strong Allee effect
Claudio Arancibia-Ibarra, Jose D. Flores, Graeme J. Pettet +1
We analyse a modified Holling-Tanner predator-prey model where the predation functional response is of Holling type II and we incorporate a strong Allee effect associated with the…
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…
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…