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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 2

A FRACTIONAL ORDER SEIR MODEL WITH DENSITY DEPENDENT DEATH RATE

Nuri ÖZALP
Arzu UNAL
Elif DEMİRCİ
Pages
287–295
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

A numerical example is also presented

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we introduce a fractional order SEIR epidemic model with vertical transmission, where the death rate of the population is density dependent, i.e., dependent on the population size.
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Key Findings & Data:It is also assumed that there exists an infection related death rate.
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Conclusion & Impact:A numerical example is also presented
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Fractional derivative · Initial value problem · SEIR model

Abstract

In this paper, we introduce a fractional order SEIR epidemic model with vertical transmission, where the death rate of the population is density dependent, i.e., dependent on the population size. It is also assumed that there exists an infection related death rate. We show the existence of nonnegative solutions of the model, and also give a detailed stability analysis of disease free and positive fixed points. A numerical example is also presented

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Cite This Article

ÖZALP, N., UNAL, A., DEMİRCİ, E. (2022). A FRACTIONAL ORDER SEIR MODEL WITH DENSITY DEPENDENT DEATH RATE. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 2, 287–295. https://ajindex.com/articles/530625

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