Stability of functional differential equations in mathematical epidemiology and ecology: when do delayed effects affect the outcome?

数学流行病学和生态学中函数微分方程的稳定性：延迟效应何时影响结果？

• 批准号: 327408-2011
• 负责人: McCluskey, Connell
• 金额: $ 0.73万
• 依托单位: Wilfrid Laurier University
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2014
• 资助国家: 加拿大
• 起止时间: 2014-01-01 至 2015-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=549077
• 关键词: Stability; functional; differential; equations; mathematical

When a biological system oscillates, one of the usual suspects is delay. That is, we suspect that the underlying rules that govern how the system changes depend, to some degree, on the state of the system at an earlier time. For example, current human population growth is affected by the population size nine months ago.

当一个生物系统振荡时，通常的嫌疑人之一是延迟。 也就是说，我们怀疑支配系统如何变化的基本规则在某种程度上取决于系统在早期的状态。 例如，目前的人口增长受到9个月前人口规模的影响。