Smith: Smith dynamic

View source: R/Smith.R

SmithR Documentation

Smith dynamic

Description

Smith dynamic as a type of evolutionary dynamics.

Usage

Smith(time, state, parameters)

Arguments

time

Regular sequence that represents the time sequence under which simulation takes place.

state

Numeric vector that represents the initial state.

parameters

Numeric vector that represents parameters needed by the dynamic.

Value

Numeric list. Each component represents the rate of change depending on the dynamic.

Author(s)

Daniel Gebele dngebele@gmail.com

References

Smith, M. J. (1984) "The Stability of a Dynamic Model of Traffic Assignment – An Application of a Method of Lyapunov", Transportation Science 18, pp. 245–252.

Examples

dynamic <- Smith
A <- matrix(c(0, -2, 1, 1, 0, -2, -2, 1, 0), 3, byrow=TRUE)
state <- matrix(c(0.4, 0.3, 0.3), 1, 3, byrow=TRUE)
phaseDiagram3S(A, dynamic, NULL, state, FALSE, FALSE)

EvolutionaryGames documentation built on April 11, 2022, 5:07 p.m.