R: Simulated Stochastic Lotka-Volterra Eqns
Simulated Stochastic Lotka-Volterra Eqns
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
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.
Results
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