Undamped oscillations in prey-predator models on a finite size lattice

摘要: Sustained oscillation is frequently observed in population dynamics of biospecies. The comes not only from deterministic but also stochastic characteristics. In the present article, we deal with a finite size lattice which contains prey and predator. interaction between pair points carried out by two different methods; local global interactions. former, occurs adjacent sites, while latter takes place any sites. It found that both systems exhibit undamped oscillations. amplitude decreases increase total case interaction, can differential equation composed factors, i.e., Lotka–Volterra density dependence noise term. quantitative agreement theory simulation results almost perfect. qualitatively expresses characteristics sustainable for interaction.