Mathematical models of evolution with trade-offs in host-parasite systems.

宿主-寄生虫系统权衡的进化数学模型。

• 批准号: NE/B501998/2
• 负责人: Ivana Gudelj
• 金额: $ 9.8万
• 依托单位: University of Bath
• 依托单位国家: 英国
• 项目类别: Fellowship
• 财政年份: 2006
• 资助国家: 英国
• 起止时间: 2006 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=NE%2FB501998%2F2
• 关键词: Mathematical; models; evolution; trade; offs

This proposal presents a new methodology for studying evolution in host-parasite systems, combining evolutionary and ecological dynamics into a mathematical framework. The proposed models are mathematically tractable using results from bifurcation and dynamical systems theory and include many evolutionary aspects that modern mathematical models have not been able to capture. This study aims to explore the role of cost-benefit trade-offs in the evolution of host and parasite populations with both continuous and discrete generations. In particular the conditions leading to evolutionary branching of are going to be studied.

这一建议提出了一种新的方法来研究宿主-寄生虫系统的进化，结合进化和生态动力学的数学框架。所提出的模型在数学上是易于处理的分叉和动力系统理论的结果，包括许多现代数学模型无法捕捉的进化方面。本研究旨在探讨成本效益权衡在连续世代和离散世代的宿主和寄生虫种群进化中的作用。特别是导致进化分支的条件将被研究。