Title

An Integrable SIS Model on Time Scales

Abstract

In this work, we generalize the dynamic model introduced in Bohner and Streipert (Pliska Stud. Math. 26:11—28, 2016, [5]) in the context of epidemiology. This model exhibits many similarities to the continuous susceptible-infected-susceptible model and is therefore of particular interest to formulate a generalization of a continuous model on time scales. In this work, we extend the results in Bohner and Streipert (Pliska Stud. Math. 26:11—28, 2016, [5]) for time-dependent coefficients rather than constant parameters and derive an explicit solution. We further discuss the stability of periodic solutions for the corresponding discrete model with periodic coefficients. We conclude the analysis of the SIS model by considering time-dependent vital dynamics and derive its explicit solution on a general time scale.

Meeting Name

24th International Conference on Difference Equations and Applications, ICDEA 2018 (2018: May 21-24, Dresden, Germany)

Department(s)

Mathematics and Statistics

Comments

Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 312)

Keywords and Phrases

Difference equations; Dynamic equations; Epidemiology; Periodic solution; Stability; Time scales

International Standard Book Number (ISBN)

978-303035501-2

International Standard Serial Number (ISSN)

2194-1009

Document Type

Article - Conference proceedings

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2020 Springer, All rights reserved.

Publication Date

01 Feb 2020

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