5 citations · 7 across the 7 of their papers we have counts for
4 papers · 1 filter
Chase-and-Run and Chirality in Nonlocal Models of Pattern Formation
Thomas Jun Jewell, Andrew L. Krause, Philip K. Maini +1
Chase-and-run dynamics, in which one population pursues another that flees from it, are found throughout nature, from predator-prey interactions in ecosystems to the collective mot…
Integral Asymptotics, Coalescing Saddles, and Multiple-scales Analysis of a Generalised Swift-Hohenberg Equation
Václav Klika, Mohit P. Dalwadi, Andrew L. Krause +1
Integral asymptotics play an important role in the analysis of differential equations and in a variety of other settings. In this work, we apply an integral asymptotics approach to…
Pattern Localisation in the Swift-Hohenberg Equation via Slowly Varying Spatial Heterogeneity
Andrew L. Krause, Václav Klika, Edgardo Villar-Sepúlveda +2
Theories of localised pattern formation are important to understand a broad range of natural patterns, but are less well-understood than more established mechanisms of domain-filli…
Designing reaction-cross-diffusion systems with Turing and wave instabilities
Edgardo Villar-Sepúlveda, Alan R. Champneys, Andrew L. Krause
General conditions are established under which reaction-cross-diffusion systems can undergo spatiotemporal pattern-forming instabilities. Recent work has focused on designing syste…