Displaying similar documents to “Sociodynamics applied to the evolution of urban and regional structures.”

Asymptotic behaviour of a discrete dynamical system generated by a simple evolutionary process

Iwona Karcz-Dulęba (2004)

International Journal of Applied Mathematics and Computer Science

Similarity:

A simple model of phenotypic evolution is introduced and analysed in a space of population states. The expected values of the population states generate a discrete dynamical system. The asymptotic behaviour of the system is studied with the use of classical tools of dynamical systems. The number, location and stability of fixed points of the system depend on parameters of a fitness function and the parameters of the evolutionary process itself. The influence of evolutionary process parameters...

The island model as a Markov dynamic system

Robert Schaefer, Aleksander Byrski, Maciej Smołka (2012)

International Journal of Applied Mathematics and Computer Science

Similarity:

Parallel multi-deme genetic algorithms are especially advantageous because they allow reducing the time of computations and can perform a much broader search than single-population ones. However, their formal analysis does not seem to have been studied exhaustively enough. In this paper we propose a mathematical framework describing a wide class of island-like strategies as a stationary Markov chain. Our approach uses extensively the modeling principles introduced by Vose, Rudolph and...