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タイトル: | Integrable discretizations of the SIR model (Mathematical structures of integrable systems, their developments and applications) |
著者: | TANAKA, Yuta MARUNO, Ken-ichi |
著者名の別形: | 丸野, 健一 |
キーワード: | 39A36 37M15 34A05 SIR model integrable discretizations exact solutions conserved quantities hodograph transformation ultradiscretization |
発行日: | Nov-2023 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B94 |
開始ページ: | 85 |
終了ページ: | 115 |
抄録: | Structure-preserving discretizations of the SIR model are presented by focusing on the hodograph transformation and the conditions for integrability for their discrete SIR models are given. For those integrable discrete SIR models, we derive their exact solutions as well as conserved quantities. If we choose the parameter appropriately for one of our proposed discrete SIR models, it conserves the conserved quantities of the SIR model. We also investigate an ultradiscretizable discrete SIR model. |
著作権等: | © 2023 by the Research Institute for Mathematical Sciences, an International Joint Usage/Research Center located in Kyoto University. All rights reserved. Printed in Japan. |
URI: | http://hdl.handle.net/2433/286844 |
出現コレクション: | B94 Mathematical structures of integrable systems, their developments and applications |
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