Study of Stability for Some Simple Epidemic Models
Arrival Rince Putri1 (a*), Riri Lestari (b)
a,b) Department of Mathematics, Andalas University, Kampus Unand Limau Manis, Padang, 25163, Indonesia
*arrivalputri[at]gmail.com
Abstract
The Susceptible Infected and Removed (SIR) model is extended by considering three treatments, without vaccination, vaccination in susceptible individuals, and mutation in disease viruses. Equilibrium points of those models were determined. Stability of those models was analyzed and associated with threshold parameters. Analytical result was confirmed by numerical result showing plot solution and behaviour of the system in phase plane. The results of this study inform parameters that affect stability of the system so that the best policy to prevent endemic can be proposed.
Keywords: Epidemic model; Vaccination; Mutation; Stability; Numerical
Topic: Mathematics