Proportional Epidemic Models on Time Scales

Emrah Yılmaz; Gülcan Tokay

doi:10.33187/jmsm.1569583

EN

Proportional Epidemic Models on Time Scales

Abstract

In this study, some epidemic models such as SI (Susceptible-Infectious), SIR (Susceptible-Infectious-Recovered), and SIS (Susceptible-Infectious-Susceptible) have been formulated using proportional derivative on time scales, and solutions have been obtained through the application of time scale analysis techniques and proportional derivative rules.

Keywords

Epidemic models, Proportional derivative, Time scales

References

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Details

Primary Language

English

Subjects

Applied Mathematics (Other)

Journal Section

Research Article

Authors

Emrah Yılmaz ^*
0000-0002-7822-9193
Türkiye

Gülcan Tokay
0000-0002-6317-6164
Türkiye

Early Pub Date

August 18, 2025

Publication Date

September 11, 2025

Submission Date

October 18, 2024

Acceptance Date

July 26, 2025

Published in Issue

Year 2025 Volume: 8 Number: 3

DOI

https://doi.org/10.33187/jmsm.1569583

IZ

https://izlik.org/JA67NL97HB

APA

Yılmaz, E., & Tokay, G. (2025). Proportional Epidemic Models on Time Scales. Journal of Mathematical Sciences and Modelling, 8(3), 129-143. https://doi.org/10.33187/jmsm.1569583

AMA

1.Yılmaz E, Tokay G. Proportional Epidemic Models on Time Scales. Journal of Mathematical Sciences and Modelling. 2025;8(3):129-143. doi:10.33187/jmsm.1569583

Chicago

Yılmaz, Emrah, and Gülcan Tokay. 2025. “Proportional Epidemic Models on Time Scales”. Journal of Mathematical Sciences and Modelling 8 (3): 129-43. https://doi.org/10.33187/jmsm.1569583.

EndNote

Yılmaz E, Tokay G (September 1, 2025) Proportional Epidemic Models on Time Scales. Journal of Mathematical Sciences and Modelling 8 3 129–143.

IEEE

[1]E. Yılmaz and G. Tokay, “Proportional Epidemic Models on Time Scales”, Journal of Mathematical Sciences and Modelling, vol. 8, no. 3, pp. 129–143, Sept. 2025, doi: 10.33187/jmsm.1569583.

ISNAD

Yılmaz, Emrah - Tokay, Gülcan. “Proportional Epidemic Models on Time Scales”. Journal of Mathematical Sciences and Modelling 8/3 (September 1, 2025): 129-143. https://doi.org/10.33187/jmsm.1569583.

JAMA

1.Yılmaz E, Tokay G. Proportional Epidemic Models on Time Scales. Journal of Mathematical Sciences and Modelling. 2025;8:129–143.

MLA

Yılmaz, Emrah, and Gülcan Tokay. “Proportional Epidemic Models on Time Scales”. Journal of Mathematical Sciences and Modelling, vol. 8, no. 3, Sept. 2025, pp. 129-43, doi:10.33187/jmsm.1569583.

Vancouver

1.Emrah Yılmaz, Gülcan Tokay. Proportional Epidemic Models on Time Scales. Journal of Mathematical Sciences and Modelling. 2025 Sep. 1;8(3):129-43. doi:10.33187/jmsm.1569583