3 papers
math.AP2026
Geometric desingularisation of the sharp-to-smooth travelling wave transition
Zak Sattar
We study travelling front solutions of a family of degenerate Fisher-KPP equations , where is a positive integer. At the minimal wave speed $c_{\rm mi…
math.DS2026
Rate-induced tipping in a coral reef ecosystem: A slow increase in fishing effort can induce reef collapse
Irakli Antidze, Brian Hennessy, Nikola Popovic +1
Critical transitions describe sudden changes in the state of an ecosystem. In classical bifurcation theory, such transitions occur when the value of a parameter exceeds a threshold…
math.DS2024
The Burgers-FKPP advection-reaction-diffusion equation with cut-off
Nikola Popovic, Mariya Ptashnyk, Zak Sattar
We investigate the effect of a Heaviside cut-off on the front propagation dynamics of the so-called Burgers-FisherKolmogoroff-Petrowskii-Piscounov (Burgers-FKPP) advection-reaction…