activity
20152023
most citedNitrogen-induced hysteresis in grassland biodiversity: a theoretical test of litter-mediated mechanisms

4 citations · 12 across the 5 of their papers we have counts for

collaborators

6 papers

math.DS2023★ 2 cited

Continuation of fixed points and bifurcations from ODE to flow-kick disturbance models

Katherine Meyer, Horace Fusco, Collin Smith +1

Some ODE models treat ecological disturbance as a continuous process, even disturbances such as fire that occur almost instantaneously on the timescale of system recovery. Alternat…

q-bio.PE2022★ 4 cited

Nitrogen-induced hysteresis in grassland biodiversity: a theoretical test of litter-mediated mechanisms

Katherine Meyer, James Broda, Andrew Brettin +6

The global rise in anthropogenic reactive nitrogen (N) and the negative impacts of N deposition on terrestrial plant diversity are well-documented. The R* theory of resource compet…

math.DS2020★ 4 cited

Intensity -- A Metric Approach to Quantifying Attractor Robustness in ODEs

Katherine J. Meyer, Richard P. McGehee

Although mathematical models do not fully match reality, robustness of dynamical objects to perturbation helps bridge from theoretical to real-world dynamical systems. Classical th…

q-bio.PE2018

Extinction debt repayment via timely habitat restoration

Katherine Meyer

Habitat destruction threatens the viability of many populations, but its full consequences can take considerable time to unfold. Much of the discourse surrounding extinction debts-…

q-bio.PE2018

Quantifying resilience to recurrent ecosystem disturbances using flow-kick dynamics

Katherine Meyer, Alanna Hoyer-Leitzel, Sarah Iams +5

Shifting ecosystem disturbance patterns due to climate change (e.g. storms, droughts, wildfires) or direct human interference (e.g. harvests, nutrient loading) highlight the import…

math.DS2015★ 2 cited

A Dynamical Systems Framework for Resilience in Ecology

Katherine Meyer

Rising interest in the resilience of ecological systems has spawned diverse interpretations of the term's precise meaning. This paper classifies and explores definitions of resilie…