| Home  | About ScienceAsia  | Publication charge  | Advertise with us  | Subscription for printed version  | Contact us  
Editorial Board
Journal Policy
Instructions for Authors
Online submission
Author Login
Reviewer Login
Volume 43 Number 3
Volume 43 Number 2
Volume 43 Number 1
Volume 43S Number 1
Volume 42 Number 6
Volume 42S Number 1
Earlier issues
Volume 39 Number 2 Volume 39S Number 1 Volume 39 Number 3

previous article next article

Research articles

ScienceAsia 39S(2013): 42-47 |doi: 10.2306/scienceasia1513-1874.2013.39S.042


Numerical simulations of an SIR epidemic model with random initial states


Almbrok Hussin Alsonosi Omar*, Yahya Abu Hasan

 
ABSTRACT:     When the initial state of an epidemic is uncertain, mathematical descriptions of that epidemic in terms of initial conditions must be modified by regarding these initial conditions as random variables having particular distribution functions. In this paper we assume a beta distribution as the initial proportion of infected in an SIR epidemic model. Numerical simulations are carried out on the various classes of the model as the uncertainties are propagated. The probability density functions of the random solutions of these classes over time are also calculated numerically. Some properties of the random solution and the effect of the parameters of the beta distribution on the behaviour of the epidemic are investigated.

Download PDF

0 Download 39 View


School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Penang, Malaysia

* Corresponding author, E-mail: almabrok76@yahoo.com

Received 7 Jan 2013, Accepted 5 Apr 2013