Susceptible-Infected-Susceptible Epidemic Discrete Dynamic System Based on Tsallis Entropy

Shaher Momani; Rabha W Ibrahim; Samir B Hadid

doi:10.3390/e22070769

Susceptible-Infected-Susceptible Epidemic Discrete Dynamic System Based on Tsallis Entropy

Entropy (Basel). 2020 Jul 14;22(7):769. doi: 10.3390/e22070769.

Authors

Shaher Momani^{1

2}, Rabha W Ibrahim^{3

4}, Samir B Hadid¹

Affiliations

¹ Department of Mathematics and Sciences, College of Humanities and Sciences, Ajman University, Ajman 346, UAE.
² Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan.
³ Informetrics Research Group, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam.
⁴ Faculty of Mathematics & Statistics, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam.

Abstract

This investigation deals with a discrete dynamic system of susceptible-infected-susceptible epidemic (SISE) using the Tsallis entropy. We investigate the positive and maximal solutions of the system. Stability and equilibrium are studied. Moreover, based on the Tsallis entropy, we shall formulate a new design for the basic reproductive ratio. Finally, we apply the results on live data regarding COVID-19.

Keywords: COVID-19; Tsallis entropy; discrete dynamic system; equilibrium point; fractional calculus.