A food web model with a closed nutrient cycle is presented and analyzed via Monte Carlo simulations. The model consists of three trophic levels, each of which is populated by animals of one distinct species. While the species at the intermediate level feeds on the basal species, and is eaten by...

We present and study a lattice (Monte Carlo) model of a food web consisting of three levels. Agents on the lowest level produce food from dead agents (detritus) of the upper levels and are themselves eaten by the first level species, which in turn are prey for the top level species. Agents which...

The influence of habitat destruction on a population of predators and prey is studied. We show, via Monte Carlo simulations of a lattice model, that with growing devastation the oscillations in the densities of both species, as well as cross-correlations between the two densities diminish. As...

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...