QPot: An R Package for Stochastic Differential Equation Quasi-Potential Analysis
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2015
- DOI:
- 10.48550/arXiv.1510.07992
- arXiv:
- arXiv:1510.07992
- Bibcode:
- 2015arXiv151007992M
- Keywords:
-
- Quantitative Biology - Quantitative Methods;
- Mathematics - Dynamical Systems;
- Mathematics - Probability;
- 60H10 (Primary);
- 60H30;
- 60H35;
- 92B05;
- 93D99