Using the molecular-field approximation for the lattice gas model in terms of a spin-one Ising model, we construct phase diagrams and show when the transition could be of first or second order. Possible relevance to the theoritical models of phase transitions in monolayers of amphipatic...

A new model of one type of annual plant dynamics is proposed and discussed. The model is based on individual agents Monte Carlo simulations. We take into account, the plant requirements for external resources (sunshine, moisture etc.), competition among plants and the influence of accumulated...

We present and discuss a Monte Carlo model describing the dynamics of three types of annual plants which have different tolerances to shade and drought. External conditions (water and light) fluctuate around some values which are our control parameters and which decide how many resources the...

Modeling the dynamics of interacting species (or populations) is a long standing problem in sciences which, in the recent years, has attracted a lot of physicists working in statistical physics. The similarities and differences between models of dynamics of population and usual statistical...

A model for economic behavior, under heterogeneous spatial economic conditions is developed. The role of selection pressure in a Bak–Sneppen-like dynamics with entity diffusion on a lattice is studied by Monte-Carlo simulation taking into account business rule(s), like enterprise–enterprise...

A model describing the evolution of a sexual population in a selective environment is presented. The population is composed of individuals each characterized by its phenotype and age. Within the standard Monte Carlo simulation technique, we calculate the time dependence of the average fitness,...

We propose a model describing the colonization process of empty ecological niches. The members of the population are characterized by a single trait (phenotype). The fitness of an individual is measured as the difference between the value of its trait and the optimal phenotype characterizing the...

Presented is a simple model, based on computer simulations, of a population colonizing an adjacent habitat with different living conditions. Members of the population are characterized (apart from their positions on the lattice) by a single feature—a qualitative trait (phenotype). Its...

We propose a lattice model of evolution of a predator–prey system. Both species in order to survive must eat. The prey eats the grass growing in unlimited quantities on most of the cells of the lattice. On the remaining cells the prey find cover against predators, but not food. We compare four...

We extend the model introduced earlier (Phys. Rev. E 63 (2001) 051909) and show, via Monte Carlo simulations that the observed oscillations of the densities of predator and prey are correlated if the concentration of cover for prey is not too large. We demonstrate also that although at small...