43 citations · 78 across the 11 of their papers we have counts for
4 papers · 1 filter
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…
Travelling wave solutions in a negative nonlinear diffusion-reaction model
Yifei Li, Peter van Heijster, Robert Marangell +1
We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion-reaction equation with logistic kinetics and a convex nonlinear diff…
Unfolding symmetric Bogdanov-Takens bifurcations for front dynamics in a reaction-diffusion system
Martina Chirilus-Bruckner, Peter van Heijster, Hideo Ikeda +1
This manuscript extends the analysis of a much studied singularly perturbed three-component reaction-diffusion system for front dynamics in the regime where the essential spectrum…