Numerical simulation method for the SIV epidemic model with impulsive vaccination and infection-age

Abstract

In the process of theoretical analysis of dynamic model of epidemic, using computers for simulation is also a vital research method. However, considering SIV epidemic model with impulsive vaccination and infection-age is a kind of model which has integro-differential initial-boundary value problem with pulse. Its theoretical analysis is relatively complicated. Therefore, taking advantage of implicit Euler, the low order formula of Newton-Cotes method and finite differences may lead to a new numerical simulation method. Numerical results show that this method is effective and possesses potential value of application. © 2012 Springer-Verlag.