ENTROPY FOR DTMC SIS EPIDEMIC MODEL

WAEZIZADEH, TAYEBE; FATEHI, F.

doi:10.22103/jmmrc.2017.1568

ENTROPY FOR DTMC SIS EPIDEMIC MODEL

Document Type : Research Paper

Authors

TAYEBE WAEZIZADEH ¹

F. FATEHI ²

¹ DEPARTMENT OF PURE MATHEMATICS, FACULTY OF MATHEMATICS AND COMPUTER AND MAHANI MATHEMATICAL RESEARCH CENTER, SHAHID BAHONAR UNIVERSITY OF KERMAN, KERMAN, IRAN

² DEPARTMENT OF MATHEMATICS, SCHOOL OF MATHEMATICAL AND PHYSICAL SCIENCES, UNIVERSITY OF SUSSEX, BRIGHTON, UK

10.22103/jmmrc.2017.1568

Abstract

In this paper at rst, a history of mathematical models is given.
Next, some basic information about random variables, stochastic processes
and Markov chains is introduced. As follows, the entropy for a discrete time
Markov process is mentioned. After that, the entropy for SIS stochastic models
is computed, and it is proved that an epidemic will be disappeared after a long
time.

Keywords

Epidemic Model

Entropy

Markov chain

Stochastic process