SDEsim3: Simulated Stochastic Lotka-Volterra Eqns

Description Usage Format

Description

The dataset contains discretely sampled observations for a simulated stochastic differential equation (SDE) with dynamics:

dX_t = (1.5X_t-0.4X_tY_t)dt+sqrt(0.05X_t)dW_t

dY_t = (-1.5Y_t+0.4X_tY_t-0.2Y_t^2)dt+sqrt(0.1X_t)dB_t

where dW_t and dB_t are standard Brownian motions, t is time and X_0 = 5, Y_0 = 5.

Usage

1
data("SDEsim3")

Format

A data frame with 1001 observations on the following 3 variables.

time

A numeric vector of time nodes at which means are calculated (time[i+1]-time[i] = 1/4).

mx

Mean Xt trajectory of the diffusion.

my

Mean Yt trajectory of the diffusion.


DiffusionRgqd documentation built on May 2, 2019, 3:26 a.m.