EvolutionaryGames (version 0.1.2)

Smith: Smith dynamic

Description

Smith dynamic as a type of evolutionary dynamics.

Usage

Smith(time, state, parameters)

Value

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

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.

Author

Daniel Gebele

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)