24 citations · 65 across the 7 of their papers we have counts for
7 papers
Rate-Induced Tipping in a Non-Uniformly Moving Habitat and Determination of the Critical Rate
Blake Barker, Emmanuel Fleurantin, Matt Holzer +2
A habitat that is moving due to environmental change may result in tipping to extinction if the rate at which it moves is too great. We use a scalar reaction-diffusion equation wit…
Cancer model with moving extinction threshold reproduces real cancer data
Frank Bastian, Hassan Alkhayuon, Kieran Mulchrone +2
We propose a simple dynamic model of cancer development that captures carcinogenesis and subsequent cancer progression. A central idea of the model is to include the immune system…
Pace in Concert with Phase: Rate-induced Phase-tipping in Birhythmic Oscillators
Ravi Kumar K, Hassan Alkhayuon, Sebastian Wieczorek +1
We study rate-induced phase-tipping (RP-tipping) between two stable limit cycles of a birhythmic oscillator. We say that such an oscillator RP-tips when a time variation of an inpu…
Rate-induced tipping can trigger plankton blooms
Anna Vanselow, Lukas Halekotte, Pinaki Pal +2
Plankton blooms are complex nonlinear phenomena whose occurrence can be described by the two-timescale (fast-slow) phytoplankton-zooplankton model intrpduced by Truscott and Brindl…
Rate-Induced Tipping in Heterogeneous Reaction-Diffusion Systems: An Invariant Manifold Framework and Geographically Shifting Ecosystems
Cris R. Hasan, Ruaidhrí Mac Cárthaigh, Sebastian Wieczorek
We propose a framework to study tipping points in reaction-diffusion equations (RDEs) in one spatial dimension, where the reaction term decays in space (asymptotically homogeneous)…
Stochastic Resonance in Climate Reddening Increases the Risk of Cyclic Ecosystem Extinction via Phase-tipping
Hassan Alkhayuon, Jessa Marley, Sebastian Wieczorek +1
Human activity is leading to changes in the mean and variability of climatic parameters in most locations around the world. The changing mean has received considerable attention fr…