Population dynamics with a stable efficient equilibrium (2007)
Miekisz, Jacek, Platkowski, Tadeusz
We propose a game-theoretic dynamics of a population of replicating individuals. It consists of two parts: the standard replicator one and a migration between two different habitats. We consider...
Physics, Stability and Dynamics of Supply Networks (2004)
Helbing, Dirk, Lammer, Stefan, Seidel, Thomas, Seba, Petr, Platkowski, Tadeusz
We show how to treat supply networks as physical transport problems governed by balance equations and equations for the adaptation of production speeds. Although the non-linear behaviour is...
Drift- or Fluctuation-Induced Ordering and Self-Organization in Driven Many-Particle Systems (2002)
Helbing, Dirk, Platkowski, Tadeusz
According to empirical observations, some pattern formation phenomena in driven many-particle systems are more pronounced in the presence of a certain noise level. We investigate this phenomenon of...
Self-Organization in Space and Induced by Fluctuations (2000)
Helbing, Dirk, Platkowski, Tadeusz
We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc....