Description Usage Arguments Details Value Author(s) See Also Examples

The derivative function of the logistic growth model, an example of a two-dimensional autonomous ODE system.

1 |

`t` |
The value of |

`y` |
The value of |

`parameters` |
The values of the parameters of the system. Should be a vector
with parameters specified in the following order: |

`logistic`

evaluates the derivative of the following ODE at the point
(*t*, *y*):

Its format is designed to be compatible with `ode`

from the `deSolve`

package.

Returns a list containing the value of the derivative at (*t*, *y*).

Michael J. Grayling

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 | ```
# Plot the velocity field, nullclines and several trajectories
logistic.flowField <- flowField(logistic,
xlim = c(0, 5),
ylim = c(-1, 3),
parameters = c(1, 2),
points = 21,
system = "one.dim",
add = FALSE)
logistic.nullclines <- nullclines(logistic,
xlim = c(0, 5),
ylim = c(-1, 3),
parameters = c(1, 2),
system = "one.dim")
logistic.trajectory <- trajectory(logistic,
y0 = c(-0.5, 0.5, 1.5, 2.5),
tlim = c(0, 5),
parameters = c(1, 2),
system = "one.dim")
# Plot the phase portrait
logistic.phasePortrait <- phasePortrait(logistic,
ylim = c(-0.5, 2.5),
parameters = c(1, 2),
points = 10,
frac = 0.5)
# Determine the stability of the equilibrium points
logistic.stability.1 <- stability(logistic,
ystar = 0,
parameters = c(1, 2),
system = "one.dim")
logistic.stability.2 <- stability(logistic,
ystar = 2,
parameters = c(1, 2),
system = "one.dim")
``` |

phaseR documentation built on Aug. 20, 2018, 5:03 p.m.

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