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Simiode Expo 2021 - Minicourse M-R2 - Delay Differential Equations In Epidemiology, Nsoki Mavinga Jan 2021

Simiode Expo 2021 - Minicourse M-R2 - Delay Differential Equations In Epidemiology, Nsoki Mavinga

Mathematics & Statistics Faculty Works

Many problems in epidemiology give rise to delay differential equations (DDEs). These are differential equations in which the current rate of change of the system depends not only on the current state but also on the history of the system; i.e. the system has memory. In this minicourse, we will discuss some key tools necessary to understand the applications involving DDEs. We will go through an example that illustrates the need and implementation of DDE in certain infectious diseases.