49 citations · 122 across the 17 of their papers we have counts for
4 papers · 1 filter
Asymptotic stability of the critical Fisher-KPP front using pointwise estimates
Gregory Faye, Matt Holzer
We propose a simple alternative proof of a famous result of Gallay regarding the nonlinear asymptotic stability of the critical front of the Fisher-KPP equation which shows that pe…
Estimating epidemic arrival times using linear spreading theory
Lawrence M. Chen, Matt Holzer, Anne Shapiro
We study the dynamics of a spatially structured model of worldwide epidemics and formulate predictions for arrival times of the disease at any city in the network. The model is com…
Pattern formation, traveling fronts and consensus versus fragmentation in a model of opinion dynamics
Matt Holzer, Ratna Khatri
We consider a continuous version of the Hegselmann-Krause model of opinion dynamics. Interaction between agents either leads to a state of consensus, where agents converge to a sin…
Bifurcation to locked fronts in two component reaction-diffusion systems
Gregory Faye, Matt Holzer
We study invasion fronts and spreading speeds in two component reaction-diffusion systems. Using a variation of Lin's method, we construct traveling front solutions and show the ex…