Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/25667
Title: | Exact solution to a dynamic SIR model |
Author: | Bohner, Martin Streipert, Sabrina Torres, Delfim F. M. |
Keywords: | Dynamic equations on time scales Deterministic epidemic model Closed-form solution Time-varying coefficients Asymptotic behavior |
Issue Date: | May-2019 |
Publisher: | Elsevier |
Abstract: | We investigate an epidemic model based on Bailey's continuous differential system. In the continuous time domain, we extend the classical model to time-dependent coefficients and present an alternative solution method to Gleissner's approach. If the coefficients are constant, both solution methods yield the same result. After a brief introduction to time scales, we formulate the SIR (susceptible–infected–removed) model in the general time domain and derive its solution. In the discrete case, this provides the solution to a new discrete epidemic system, which exhibits the same behavior as the continuous model. The last part is dedicated to the analysis of the limiting behavior of susceptible, infected, and removed, which contains biological relevance. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/25667 |
DOI: | 10.1016/j.nahs.2018.12.005 |
ISSN: | 1751-570X |
Publisher Version: | http://dx.doi.org/10.1016/j.nahs.2018.12.005 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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[429]SIR_time_scales.pdf | 371.31 kB | Adobe PDF |
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