We study the predator–prey model described by the Lotka–Volterra equations (N.S. Goel et al., Rev. Mod. Phys. 43(1971) 231). These coupled non-linear differential equations are solved numerically and compared with Monte Carlo simulations. Spectral analysis of the data indicate the presence...

Traffic flow states are described as resulting from a stochastically driven system. Vehicles advance based on the energy profile of their surrounding traffic.

Adsorption thermodynamics of a lattice–gas model with non-additive interactions between adsorbed particles for triangular and honeycomb lattices is discussed in the present study. The model used here assumes that the energy which links a certain atom with any of its nearest-neighbors strongly...

Simulations of percolation processes on random site square lattices are performed implementing a different occupation algorithm for both ordinary percolation (OP) and invasion percolation (IP) problems. The main feature of the occupation process is the fact that it is performed in a locally...

The statistical equilibrium of a coupled barotropic fluid–rotating solid sphere system is simulated using a energy-relative enstrophy spherical model in a wide range of parameter space by Monte Carlo (MC) methods [J.M. Hammersley, D.C. Handscomb, Monte Carlo Methods, Methuen & Co, London,...

In this paper, we propose a surface disaggregation model in (2+1) dimensions with biased motion of the eroding particle. The deconstruction is subject to selection criteria depending on the local coordination number of the extracted surface site. The surface width is investigated at early times...

The impact of surface size on two minimalistic models for the bistable CO oxidation is analytically studied. A simple model for the catalytic CO oxidation on nanoscale surfaces is analyzed by the chemical master equation. The analytical results predict a shift of the bistable region and cusp...

Using the Penna model for biological aging, which is based on the mutation accumulation theory, we show that the number of homozygous loci corresponding to deleterious mutations is higher in small populations than in large ones. This decrease of heterozygosity may drive small populations to...

The effects of periodic environmental fluctuations on the adaptive behavior and on the survival chance of a population of individuals are investigated as a function of both the genotypes carried, i.e., haploid or diploid. Only extreme and exogenous changes have been taken into account in order...

We studied the properties of simple models of star-branched polymer chains confined in a slit. The chains were constructed of united atoms (segments) and were restricted to vertices of a simple cubic lattice. We modeled good solvent conditions and thus the chains interacted with the excluded...