title: Ecological and Lyapunov Stability
creator: Justus, James
subject: Models and Idealization
subject: Mathematics
subject: Ecology/Conservation
description: Ecologists have proposed several incompatible definitions of ecological stability. Emulating physicists, mathematical ecologists commonly define it as Lyapunov stability. This formalizes the problematic concept by integrating it into a well-developed mathematical theory. The formalization also seems to capture the intuition that ecological stability depends on how ecological systems respond to perturbation. Despite these advantages, this definition is flawed. Although Lyapunov stability adequately characterizes perturbation responses of systems typically studied in physics, it does not for ecological systems. This failure reveals a limitation of its underlying mathematical theory, and an important difference between dynamic systems modeling in physics and biology.
date: 2006
type: Conference or Workshop Item
type: NonPeerReviewed
format: application/pdf
identifier: http://philsci-archive.pitt.edu/2987/1/PSA_2006_Justus_10%2D15%2D06.pdf
identifier: Justus, James (2006) Ecological and Lyapunov Stability. In: [2006] Philosophy of Science Assoc. 20th Biennial Mtg (Vancouver) > PSA 2006 Contributed Papers .
relation: http://philsci-archive.pitt.edu/2987/