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arXiv · 1510.07992

QPot: An R Package for Stochastic Differential Equation Quasi-Potential Analysis

Christopher M. Moore·Christopher R. Stieha·Ben C. Nolting·Maria K. Cameron·Karen C. Abbott
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Abstract

QPot is an R package for analyzing two-dimensional systems of stochastic differential equations. It provides users with a wide range of tools to simulate, analyze, and visualize the dynamics of these systems. One of QPot's key features is the computation of the quasi-potential, an important tool for studying stochastic systems. Quasi-potentials are particularly useful for comparing the relative stabilities of equilibria in systems with alternative stable states. This paper describes QPot's primary functions, and explains how quasi-potentials can yield insights about the dynamics of stochastic systems. Three worked examples guide users through the application of QPot's functions.

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Christopher M. Moore, Christopher R. Stieha, Ben C. Nolting, Maria K. Cameron, Karen C. Abbott. 2015-10-27. QPot: An R Package for Stochastic Differential Equation Quasi-Potential Analysis. https://arxiv.org/abs/1510.07992

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