Lie symmetry analysis of the Hanta-epidemic systems

Volume 17, Issue 2, pp 332-344 http://dx.doi.org/10.22436/jmcs.017.02.16

Publication Date: June 15, 2017 Submission Date: August 24, 2016

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Authors

Mevlude Yakit Ongun - Suleyman Demirel University, Department of Mathematics, Isparta, Turkey. Mehmet Kocabiyik - Suleyman Demirel University, Graduate School of Natural and Applied Sciences, Isparta, Turkey.

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.

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Keywords

• Lie symmetries
• logistic differential equation
• Hanta epidemics
• fractional order differential equation.

MSC

•  34A05
•  34C14
•  92D30

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