43 citations · 78 across the 11 of their papers we have counts for
11 papers
Late Fusion Neural Operators for Extrapolation Across Parameter Space in Partial Differential Equations
Eva van Tegelen, Taniya Kapoor, George A. K. van Voorn +2
Developing neural operators that accurately predict the behavior of systems governed by partial differential equations (PDEs) across unseen parameter regimes is crucial for robust…
Partial Eigenvalue Assignment for Nonlinear Systems
Shang Wang, Xiaodong Cheng, Yu Kawano +1
In this paper, we study control design methods for assigning a subset of nonlinear right or left eigenvalues to a specified set of scalar-valued functions via nonlinear Sylvester e…
A Distributed Time-Varying Optimization Approach Based on an Event-Triggered Scheme
Haojin Li, Xiaodong Cheng, Peter van Heijster +1
In this paper, we present an event-triggered distributed optimization approach including a distributed controller to solve a class of distributed time-varying optimization problems…
Shock-fronted travelling waves in a reaction-diffusion model with nonlinear forward-backward-forward diffusion
Yifei Li, Peter van Heijster, Matthew J. Simpson +1
Reaction-diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete models. Recently, a discrete model which allows the rates of movement, prolifera…
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…
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…
Spectral Stability of Travelling Wave Solutions in a Keller-Segel Model
P. N. Davis, P. van Heijster, R. Marangell
We investigate the point spectrum associated with travelling wave solutions in a Keller-Segel model for bacterial chemotaxis with small diffusivity of the chemoattractant, a logari…
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…