Lie symmetry analysis of the Hanta-epidemic systems

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YAKIT ONGUN M., Kocabiyik M.

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, vol.17, no.2, pp.332-344, 2017 (ESCI)

• Publication Type: Article / Article
• Volume: 17 Issue: 2
• Publication Date: 2017
• Doi Number: 10.22436/jmcs.017.02.16
• Journal Name: JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
• Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
• Page Numbers: pp.332-344
• Süleyman Demirel University Affiliated: Yes

Abstract

We consider a model for the fatal Hanta-virus infection among mice. Lie symmetry analysis is applied to find general solutions to Hanta-virus model, which is also known as Abramson-Kenkre model. Besides the solution for the version with derivatives of fractional order, we investigate the model also by using the Lie symmetry method. The basic point of view for both situations will be logistic differential equation, created for total population. (C) 2017 All rights reserved.