Dynamics of Functional Differential Equations with Applications in Epidemiology

泛函微分方程动力学及其在流行病学中的应用

• 批准号: RGPIN-2016-06134
• 负责人: McCluskey, Christopher
• 金额: $ 1.31万
• 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: 2017
• 资助国家: 加拿大
• 起止时间: 2017-01-01 至 2018-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=635337
• 关键词: Dynamics; Functional; Differential; Equations; Applications

Models of the spread of infectious disease can be expressed in many ways, including as ordinary differential equations (ODEs) or as functional differential equations (FDEs). Examples of FDEs include delay differential equations (DDEs) and partial differential equations (PDEs). Often FDE models are direct generalizations of simpler ODE models, including additional features that may be related to the history of the system. The analysis of FDEs has been developed over the last 50 years, but is still much more complicated than the analysis of ODEs.

传染病传播的模型可以用多种方式表示，包括常微分方程或函数微分方程。fde的例子包括延迟微分方程（DDEs）和偏微分方程（PDEs）。通常，FDE模型是更简单的ODE模型的直接概括，包括可能与系统历史相关的附加特性。fde的分析已经发展了近50年，但仍然比ode的分析复杂得多。