Stability Analysis of an Epidemic Model With Vaccination and Time Delay

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Stability analysis of an epidemic model with MMA_2023_MehmetTuran_RSA_FK.pdf (1.07 MB)

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2023

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Wiley

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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Abstract

This paper presents an epidemic model with varying population, incorporating a new vaccination strategy and time delay. It investigates the impact of vaccination with respect to vaccine efficacy and the time required to see the effects, followed by determining how to control the spread of the disease according to the basic reproduction ratio of the disease. Some numerical simulations are provided to illustrate the theoretical results.

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Turan, Mehmet/0000-0002-1718-3902
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Turan, Mehmet ORCID logo

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COVID-19, delay, epidemic model, stability

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0

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46

Issue

14

Start Page

14828

End Page

14840

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https://doi.org/10.1002/mma.9348
 https://hdl.handle.net/20.500.14411/2361

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