Details of talk
|Title||Controlling waterborne disease: policy and practice insights using impulsive differential equations|
|Presenter||Edward Waters (University of Notre Dame)|
|Author(s)||Dr Edward Waters, Prof Harvinder Sidhu|
|Session||Applied Mathematics/Industrial Mathematics|
The dynamics of diseases transmitted through the environment, such as waterborne and foodborne diseases, are often poorly characterised by ordinary differential equation models. Diseases transmitted through the environment exhibit rich dynamics in response to rapid fluctuations in environmental variables such as rainfall and temperature. Impulsive differential equations (IDEs) can be used to better approximate the complex dynamics of environmental transmission systems. Using the waterborne parasite Cryptosporidium as a case study, IDEs are used to explore the effect of heavy rainfall events on the incidence of infection. Results from numerical simulations are used to show that guidelines for managing the risk of Cryptosporidium infection may require updating if, as is argued to be happening due to climate variability, rainfall patterns change.