Mathematical Sciences: Stochastic Spatial Models

数学科学：随机空间模型

• 批准号: 9303233
• 负责人: J. Theodore Cox
• 金额: $ 6万
• 依托单位: Syracuse University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1993
• 资助国家: 美国
• 起止时间: 1993-07-01 至 1996-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9303233&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Stochastic; Spatial; Models

This research is in the area of interacting particle systems, which are stochastic models for large systems of interacting components. These systems model such phenomena as competition of species, epidemics, spread of genetic traits, and catalytic chemical reactions. The investigator plans to study the temporal limit behavior of some particular classes of interacting particle systems. Specific models to be studied include the voter model, a catalyst model, and an interacting diffusion model. This research in probability theory is in the area of interacting particle systems. These are stochastic models for large systems of interacting components. Among the phenomena these systems model are competition of species, epidemics, spread of genetic traits, and catalytic chemical reactions.

这项研究是在相互作用的粒子系统领域，这是一个由相互作用的组件组成的大系统的随机模型。这些系统模拟了物种竞争、流行病、遗传特征的传播和催化化学反应等现象。研究人员计划研究某些特定类别相互作用粒子系统的时间极限行为。要研究的具体模型包括投票者模型、催化剂模型和相互作用扩散模型。概率论的研究是在相互作用的粒子系统领域。这些是由相互作用的组件组成的大型系统的随机模型。这些系统模型中的现象包括物种竞争、流行病、遗传特征的传播和催化化学反应。