12 citations · 21 across the 3 of their papers we have counts for
3 papers
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)…
Numerical continuation of spiral waves in heteroclinic networks of cyclic dominance
Cris R. Hasan, Hinke M. Osinga, Claire M. Postlethwaite +1
Heteroclinic-induced spiral waves may arise in systems of partial differential equations that exhibit robust heteroclinic cycles between spatially uniform equilibria. Robust hetero…
Spatiotemporal stability of periodic travelling waves in a heteroclinic-cycle model
Cris R. Hasan, Hinke M. Osinga, Claire M. Postlethwaite +1
We study a Rock-Paper-Scissors model for competing populations that exhibits travelling waves in one spatial dimension and spiral waves in two spatial dimensions. A characteristic…