Simulated time series from 3 species Hastings-Powell model

Contains time series simulated from the continuous time 3 species Hastings-Powell model: $$\frac{dX}{dt}=X(1-X)-aXY/(1+bX)$$ $$\frac{dY}{dt}=aXY/(1+bx)-cYZ/(1+dY)-mY$$ $$\frac{dZ}{dt}=cYZ/(1+dY)-\mu Z$$ Parameters are \(a=5, b=3, c=0.1, d=2, m=0.4, \mu=0.01\). Initial conditions are \(X(0)=0.5, Y(0)=0.1, Z(0)=9\). Integrated for 500 time steps. Both have \(r=1.2\) and \(s=0.05\) and time series length of 50, with random starting values and the first 200 iterates discarded.

HastPow3sp

Format

A data frame with 501 rows and 4 variables:

Time

Time index

X

Abundance of species X

Y

Abundance of species Y

Z

Abundance of species Z

Source

The simulation code is in data-raw on the GPEDM Github page.