Dynamics of evolution equations with applications in biology and ecology

进化方程动力学及其在生物学和生态学中的应用

• 批准号: 355880-2008
• 负责人: Wang, Lin
• 金额: $ 1.09万
• 依托单位: University of New Brunswick
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2012
• 资助国家: 加拿大
• 起止时间: 2012-01-01 至 2013-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=503738
• 关键词: Dynamics; evolution; equations; applications; biology

I propose to develop new methodologies and techniques to study the dynamics of evolution equations motivated by challenging mathematical modelling problems in biology and ecology: modelling the spread of infectious diseases, capturing oscillations and aperiodic behavior of genes and neurons in gene regulatory and neural networks, investigating competition and coexistence of multiple species in an ecological environment.

我建议开发新的方法和技术来研究进化方程的动力学，其动机是挑战生物学和生态学中的数学建模问题：对传染病的传播进行建模，捕获基因和神经元在基因调控和神经网络中的振荡和非周期行为，调查生态环境中多种物种的竞争和共存。