Dispersal limitation and fire feedbacks maintain mesic savannas in Madagascar

N Goel, ES Van Vleck, JC Aleman, AC Staver - Ecology, 2020 - Wiley Online Library
Madagascar is regarded by some as one of the most degraded landscapes on Earth, with
estimates suggesting that 90% of forests have been lost to indigenous Tavy farming …

Traveling waves and pattern formation for spatially discrete bistable reaction-diffusion equations

HJ Hupkes, L Morelli, WM Schouten-Straatman… - … Equations and Discrete …, 2020 - Springer
We survey some recent results on traveling waves and pattern formation in spatially discrete
bistable reaction-diffusion equations. We start by recalling several classic results concerning …

Transition fronts of Fisher–KPP equations in locally spatially inhomogeneous patchy environments

ES Van Vleck, A Zhang - Nonlinear Analysis, 2022 - Elsevier
This paper is devoted to the study of spatial propagation dynamics of species in locally
spatially inhomogeneous patchy environments or media. For a lattice differential equation …

Stationary bistable pulses in discrete inhomogeneous media

BE Moore, JM Segal - Journal of Difference Equations and …, 2014 - Taylor & Francis
A second-order difference equation with boundary conditions at infinity is solved, and
solutions are analysed in terms of problem parameters. The equation describes stationary …

Propagation failure of fronts in discrete inhomogeneous media with a sawtooth nonlinearity

E Lydon, BE Moore - Journal of Difference Equations and …, 2016 - Taylor & Francis
Exact, steady-state, single-front solutions are constructed for a spatially discrete bistable
equation with a piecewise linear reaction term, known as a sawtooth nonlinearity. These …

Propagation failure in discrete periodic media

SG Liao, CC Wu - Journal of Difference Equations and Applications, 2013 - Taylor & Francis
We study the periodic lattice dynamical systems with bistable nonlinearity. We use Moser's
theorem to show that there exist infinitely many stationary solutions when one of the …

[PDF][PDF] Dispersal limitation and fire

N Goel, ES Van Vleck, JC Aleman, AC Staver - 2020 - hal.science
Madagascar is regarded by some as one of the most degraded landscapes on Earth, with
estimates suggesting that 90% of forests have been lost to indigenous Tavy farming …

Transition Fronts of Fisher-KPP Equations in Locally Spatially Inhomogeneous Patchy Environments I: Existence and Non-existence

ES Van Vleck, A Zhang - arxiv preprint arxiv:1910.03174, 2019 - arxiv.org
This paper is devoted to the study of spatial propagation dynamics of species in locally
spatially inhomogeneous patchy environments or media. For a lattice differential equation …

[PDF][PDF] CV At-A-Glance

D List, SC Laude - Journal of Scientific Computing, 2017 - sciences.ucf.edu
• Ph. D. in Mathematics, University of Surrey, 2003• Associate Professor of Mathematics at
the University of Central Florida• $6.3 M in externally funded grants (NSF, NASA, and Army …

Fronts and pulses that fail to propagate in discrete inhomogeneous media

BE Moore - Book of Abstracts - pode2015.ubi.pt
Bistable differential-difference equations are often used to model the conduction of electrical
impulses in the nervous system. One characteristic of diseases that affect the nervous …