Optimal control intervention strategies using an n-patch waterborne disease model
Collins, Obiora Cornelius
Duffy, Kevin Jan
MetadataShow full item record
Copyright: 2016. Wiley. Due to copyright restrictions, only the abstract is available. For access to the full text item, please consult the publisher's website. The definitive version of the work is published in Natural Resource Modeling, Vol 29, No 4. Pp 499-519. http://onlinelibrary.wiley.com/doi/10.1111/nrm.12099/abstract
Waterborne diseases are an important concern in public health, especially in communities with limited access to clean water. Diﬀer-ent community subpopulations can require diﬀerent copping strategies for the same diseases. Modeling is one method to assist understanding and the development of eﬀective strategies. To this end, we investigated the use of meta-population models with three types of control interventions: vaccination, treatment, and water puriﬁcation. Important mathematical features of the model are determined and examined. Optimal control, applied to the model, is also formulated to determine the eﬀective strategies to reduce the spread of the disease. For example, using optimal control, a four-fold reduc-tion in infected individuals is possible. The value of such an improvement to the communities involved would be signiﬁcant.
Collins, O.C. and Duffy, K.J. 2016. Optimal control intervention strategies using an n-patch waterborne disease model. Natural Resource Modeling. 29(4): 499-519.