A SIR EPIDEMIOLOGICAL MODEL WITH STABILITY ANALYSIS

S.M. Ashrafur  Rahman

doi:10.53808/KUS.2007.8.2.0728-E

Authors

S.M. Ashrafur Rahman Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2007.8.2.0728-E

Keywords:

Epidemiological model, stability, lyapunov function

Abstract

A SIR epidemiological model is introduced and analyzed both analytically and numerically. The model possesses a number of stable and unstable equilibrium states which reflects the true nature of a realistic model. Stability of the equilibrium states is discussed by a suitable Lyapunov function. The numerical results are given through graphical representation.

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