Analytical investigation and numerical approximation of hierarchically size-structured population models.

层次规模结构人口模型的分析研究和数值近似。

• 批准号: EP/F025599/1
• 负责人: Jozsef Farkas
• 金额: $ 1.51万
• 依托单位: University of Stirling
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2008
• 资助国家: 英国
• 起止时间: 2008 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FF025599%2F1
• 关键词: Analytical; investigation; numerical; approximation; hierarchically

Structured population dynamical models are of interest of applied mathematicians and theoretical biologists. They approximate real world populations in a much more sophisticated way than the classical ordinary differential equation models of population dynamics. Our main goal in the present project is to understand the long time behaviour of solutions of a very general size-structured model where competition between individuals is based upon a hierarchy in the population related to individuals size.

结构化种群动力学模型引起了应用数学家和理论生物学家的兴趣。它们以一种比人口动力学的经典常微分方程模型复杂得多的方式来逼近现实世界的人口。我们在本项目中的主要目标是了解一个非常一般的大小结构模型的解的长期行为，其中个体之间的竞争是基于与个体大小相关的种群中的层次结构。

项目成果

Size-structured populations: immigration, (bi)stability and the net growth rate

规模结构的人口：移民、（双）稳定性和净增长率

• DOI: 10.1007/s12190-010-0382-y
• 发表时间: 2010
• 期刊: Journal of Applied Mathematics and Computing
• 影响因子: 2.2
• 作者: Farkas J

Hierarchical size-structured populations: The linearized semigroup approach

层次规模结构群体：线性化半群方法

• DOI: 10.48550/arxiv.0812.1367
• 发表时间: 2008
• 作者: Farkas J

Asymptotic analysis of a size-structured cannibalism model with infinite dimensional environmental feedback

具有无限维环境反馈的尺寸结构同类相食模型的渐近分析

• DOI: 10.48550/arxiv.0812.1369
• 发表时间: 2008
• 作者: Farkas J