ENTROPY FOR DTMC SIS EPIDEMIC MODEL

Document Type : Research Paper

Authors

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

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

Journal of Mahani Mathematical Research
Volume 5, Issue 2
SPECIAL ISSUE FOR SELECTED PAPERS OF CONFERENCE ON DYNALMICAL SYSTEMS AND GEOMETRIC THEORIES, 11-12 DECEMBER 2016, MAHANI MATHEMATICAL RESEARCH CENTER, SHAHID BAHONAR UNIVERSITY OF KERMAN
February 2017
Pages 59-67

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History

  • Receive Date: 17 February 2017
  • Revise Date: 27 January 2017
  • Accept Date: 03 February 2017

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