Analytical Study and Numerical Solutions of Bird Flu Epidemic Model with Vaccination
Arrival Rince Putri (a*), Mahdhivan Syafwan (b)

a,b) Department of Mathematics, Andalas University, Kampus Unand Limau Manis, Padang, 25163, Indonesia
*arrivalputri[at]gmail.com

Abstract

Mathematical modeling is a tool used for the mechanism of strategy in controlling epidemics. In this paper, a basic model for bird flu epidemic is developed. Vaccination treatment of bird flu is a common method used to control disease. The bird flu model is reformulated by taking into account vaccination. Those models are system of ordinary differential equations. Stability of both the models are discussed and associated with the threshold number stating population is free of disease or infected. Numerical solutions are given on phase plane to confirm the analytical results.

Keywords: Epidemic model; Vaccination; stability; Threshold number; Numerical solutions

Topic: Mathematics