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

Abstract:

QPot (pronounced kyoo + p ät) 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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Published

Sept. 8, 2016

Received

Oct 22, 2015

DOI

10.32614/RJ-2016-031

Volume

Pages

8/2

19 - 38

CRAN packages used

QPot, rootSolve, deSolve, phaseR, Sim.DiffProc, yuima, viridis, plot3D, rgl

CRAN Task Views implied by cited packages

DifferentialEquations, TimeSeries, Finance, Graphics, Multivariate, Pharmacokinetics, SpatioTemporal

Footnotes

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    Citation

    For attribution, please cite this work as

    Moore, et al., "The R Journal: QPot: An R Package for Stochastic Differential Equation Quasi-Potential Analysis", The R Journal, 2016

    BibTeX citation

    @article{RJ-2016-031,
      author = {Moore, Christopher M. and Stieha, Christopher R. and Nolting, Ben C. and Cameron, Maria K. and Abbott, Karen C.},
      title = {The R Journal: QPot: An R Package for Stochastic Differential Equation Quasi-Potential Analysis},
      journal = {The R Journal},
      year = {2016},
      note = {https://doi.org/10.32614/RJ-2016-031},
      doi = {10.32614/RJ-2016-031},
      volume = {8},
      issue = {2},
      issn = {2073-4859},
      pages = {19-38}
    }