标题： 随机格子气体模型在捕食者-猎物系统中的应用 显示英文标题

标题： Stochastic Lattice Gas Model for a Predator-Prey System

摘要： 我们提出了一种随机晶格气体模型来描述两种动物种群的动力学，一种是捕食者，另一种是被捕食者。 该模型涵盖了 Lotka-Volterra 模型的机制。 我们的分析通过使用动力学平均场近似法和计算机模拟来进行。 我们的结果显示，系统表现出被捕食者和捕食者种群密度的振荡行为。 对于我们在计算机模拟中使用的参数集，这些振荡发生在局部层面。 平均场结果预测了同步的集体振荡。 显示英文摘要

摘要： We propose a stochastic lattice gas model to describe the dynamics of two animal species population, one being a predator and the other a prey. This model comprehends the mechanisms of the Lotka-Volterra model. Our analysis was performed by using a dynamical mean-field approximation and computer simulations. Our results show that the system exhibits an oscillatory behavior of the population densities of prey and predators. For the sets of parameters used in our computer simulations, these oscillations occur at a local level. Mean-field results predict synchronized collective oscillations.