We study a population involved in a cyclic game of three strategies – the rock-paper-scissors game – whose agents interact through groups of three individuals (triplets), considering the possibility that two weak agents cooperate and beat a strong one. In a wide range of parameters the...

We calculate the probability distribution of repetitions of ancestors in a genealogical tree for simple neutral models of a closed population with sexual reproduction and non-overlapping generations. Each ancestor at generation g in the past has a weight w which is (up to a normalization) the...

We study the synchronization of time-delayed nonidentical maps subject to unidirectional (master–slave) coupling. The individual dynamics of the maps have a delay n1, and the coupling acts with a delay n2. We show analytically that, suitably tuning the slave map parameters, two distinct...

We present numerical simulations of a model of social influence, where the opinion of each agent is represented by a binary vector. Agents adjust their opinions as a result of random encounters, whenever the difference between opinions is below a given threshold. Evolution leads to a steady...

We point out that applying a maximization principle on a Tsallis-like generalized form of the Kolmogorov entropy for iterated function systems, naturally provides a canonical statistical frame for the description of the multifractal measures generated by such dynamical processes. Multifractal...

A mathematical model of genetic microevolution is presented. The model stands for a population of genotypes evolving in the genotypic space. Its dynamics is governed by a master evolution equation which takes into account both the presence of a fluctuating fitness landscape and genotypic...

The kinetics of the reaction A + B → 0, for two species diffusing on an anisotropic square lattice, is studied numerically. The anisotropy is characterized by different diffusivities in each direction. It is shown that, when the ratio of the diffusivities is about or lower than 0.1, the...

We study the statistical properties of the distribution of total energies (or costs) over the set of N! configurations for the marriage problem with N men and N women. Analytical results and exhaustive numerical calculations for the whole configuration space are presented, taking into account...

Fick’s law – which relates the macroscopic current with the density in ordinary diffusion – is generalized to fractional diffusion, where either the waiting time distribution or the displacement probability density exhibit power-law decays. These long-tailed distributions give rise to...

The propagation of model epidemics on a small-world network under the action of immunization is studied. Although the connectivity in this kind of networks is rather uniform, a vaccination strategy focused on the best connected individuals yields a considerable improvement of disease control....