Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study

Autor:	Obiora Cornelius Collins, Kevin Jan Duffy
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Mathematics QA1-939
Zdroj:	Journal of Applied Mathematics, Vol 2018 (2018)
Druh dokumentu:	article
ISSN:	1110-757X 1687-0042
DOI:	10.1155/2018/2528513
Popis:	A mathematical model is formulated that captures the essential dynamics of waterborne disease transmission under the assumption of a homogeneously mixed population. The important mathematical features of the model are determined and analysed. The model is extended by introducing control intervention strategies such as vaccination, treatment, and water purification. Mathematical analyses of the control model are used to determine the possible benefits of these control intervention strategies. Optimal control theory is utilized to determine how to reduce the spread of a disease with minimum cost. The model is validated using a cholera outbreak in Haiti.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3d2bacba16cc4438ac2f8dbd91fd2e50 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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