3 papers
math.PR2021
The compact interface property for the stochastic heat equation with seed bank
Florian Nie
We investigate the compact interface property in a recently introduced variant of the stochastic heat equation that incorporates dormancy, or equivalently seed banks. There individ…
math.PR2021
How the interplay of dormancy and selection affects the wave of advance of an advantageous gene
Jochen Blath, Matthias Hammer, Dave Jacobi +1
In this paper we investigate the spread of advantageous genes in two variants of the F-KPP model with dormancy. The first variant, in which dormant individuals do not move in space…
math.PR2020
The stochastic Fisher-KPP Equation with seed bank and on/off-branching-coalescing Brownian motion
Jochen Blath, Matthias Hammer, Florian Nie
We introduce a new class of stochastic partial differential equations (SPDEs) with seed bank modeling the spread of a beneficial allele in a spatial population where individuals ma…