Lie Symmetries Analysis for SIR Model of Epidemiology

Authors

  • Mokiri Mathews Nkwana* University of Limpopo
  • Jacob Manale University of South Africa

Abstract

A system of nonlinear ordinary differential equations arising from SIR model of epidemiology is transformed into a system of one equation of second order and one of first order.This is a simple model proposed in 1927 by Kermack and Mckendick. The Modified symmetry method is applied and differential invariants are used to obtain some exact solutions of the SIR model.

Author Biographies

Mokiri Mathews Nkwana*, University of Limpopo

Mathematics and Applied Mathematics, Lecturer

Jacob Manale, University of South Africa

Mathematical Sciences, Lecturer

References

Kermack, W. McKendick, A contribution to the mathematical theory of epidemics. Pro.R.So. London

A15,70(1927).

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Published

2017-06-20

Issue

BIOMATH 2017

Section

Conference Contributions