Lie symmetry analysis of the Hanta-epidemic systems

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.

Analysis of granule cell generation system by lie symmetry method

“…In this section, let us briefly sketch some basic elements of Lie group analysis of differential equations. The reader can find a more detailed exposition in [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27]].…”