Journals / Karaelmas Fen ve Mühendislik Dergisi / 2016 / Cilt: 6 - Sayı: 1

Analysis with Variable Step Size Strategy of Some SIR Epidemic Models

Bazı SIR Salgın Hastalık Modellerinin Değişken Adım Genişliği Stratejisi ile Analizi

Pages
203–210
Publication Date
2016-01-01
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

We have aimed to examine the behavior of the step sizes using different norms and norm inequalities in step size strategy for linear Cauchy problems obtained by Çelik Kızılkan and Aydın 2011 .

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In scientific studies involving norm calculations, the choice of the norm affects the obtained results.
📊
Key Findings & Data:In scientific studies involving norm calculations, the choice of the norm affects the obtained results.
💡
Conclusion & Impact:We have aimed to examine the behavior of the step sizes using different norms and norm inequalities in step size strategy for linear Cauchy problems obtained by Çelik Kızılkan and Aydın 2011 .
🔬Design:Research Article
📍Scope:2011 Verileri
⚙️Variables:Salgın hastalık modeli · SIR modeli · Adım genişliği stratejisi

Abstract

In scientific studies involving norm calculations, the choice of the norm affects the obtained results. We have aimed to examine the behavior of the step sizes using different norms and norm inequalities in step size strategy for linear Cauchy problems obtained by Çelik Kızılkan and Aydın 2011 .

Özet

Bu çalışmada, bazı SIR salgın hastalık modelleri için değişken adım genişliği stratejisinin etkinliğini incelemeyi amaçladık. SIR modeli ve onun modifikasyonlarına gerçek veriler kullanarak değişken adım genişliği stratejisini uyguladık

🔖

Cite This Article

KIZILKAN, G. Ç., DUMAN, A., AYDIN, K. (2016). Analysis with Variable Step Size Strategy of Some SIR Epidemic Models. Karaelmas Fen ve Mühendislik Dergisi, Cilt: 6 - Sayı: 1, 203–210. https://ajindex.com/articles/684077

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (5)

  1. bastin, G., 17 February 2012. Lectures on mathematical modelling of biological systems. http://perso.uclouvain.be/ georges.bastin/lectures-bio.pdf (Access date: 08.04.2016). Centers for Disease Control and Prevation, 2016. http://wwwnc.cdc.gov/travel/yellowbook/2016/infectious-diseases- related-to-travel/measles-rubeola. (Access date: 12.04.2016)
  2. Chauhan, S., Misra, OP., Dhar, J. 2014. Stability analysis of SIR model with vaccination, Am. J. Comput. Appl. Math., 4(1):17- 23. Chinviriyasit, S., Chinviriyasit, W. 2010. Numerical modelling of on SIR epidemic model with diffusion, Appl. Math. Comput., 216: 395-409.
  3. Correia, AM., Mena, FC., Soares, AJ. 2011. An application of the SIR model to epidemics in Portugal. https://repositorium. sdum.uminho.pt/bitstream/1822/15211/1/CorrMenSoar2011. pdf (Access date: 08.04.2016).
  4. Cui, Q., Yang, X., Zhang, Q. 2014. An NSFD scheme for a class of SIR epidemic models with vaccination and treatment, J. Differ. Equ. Appl., 20 (3): 416-422.
  5. Çelik Kızılkan, G. 2004. On the finding of step size in the numerical integration of initial value problem, Master Thesis, Selcuk University Graduate Natural and Applied Sciences, Konya, (in Turkish). Çelik Kızılkan, G. 2009. Step size strategies on the numerical integration of the systems of differential equations. Ph.D. The- sis, Selcuk University Graduate Natural and Applied Sciences, Konya, (in Turkish).