@inproceedings{b7efed4a28624c7589f92971d43c48bf,
title = "Optimal drug treatment in a simple pandemic switched system using polynomial approach",
abstract = "The aim of thiswork is to investigate the optimal control of the treatment in a simple pandemic model as a switched nonlinear system.We used a newly developed approach based on the theory of moments. This approach allows to transform a nonlinear, non-convex optimal control problem to an equivalent linear and convex one. To illustrate our finding, we used the example of influenza pandemic to compare the full treatment approach to our optimal moment and time switching solution.",
keywords = "Epidemic model, Optimal control, Switched systems, Theory of moment",
author = "Abdessamad Tridane and Hajji, {Mohamed Ali} and Eduardo Mojica-Nava",
note = "Funding Information: The authors would like to thank the reviewer for the valuable comments and suggestions which help improve the quality of this work. The research of A.T and M.A.H is supported by the College of Sciences individual grant at United Arab Emirates University. Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2017.; The 2nd International Conference on Mathematics and Statistics, AUS-ICMS 2015 ; Conference date: 02-04-2015 Through 05-04-2015",
year = "2017",
doi = "10.1007/978-3-319-46310-0_14",
language = "English",
isbn = "9783319463094",
series = "Springer Proceedings in Mathematics and Statistics",
publisher = "Springer New York LLC",
pages = "227--240",
editor = "Taher Abualrub and Jarrah, {Abdul Salam} and Sadok Kallel and Hana Sulieman and Sadok Kallel",
booktitle = "Mathematics Across Contemporary Sciences",
}