BibTex RIS Cite

Bazı SIR Salgın Hastalık Modellerinin Değişken Adım Genişliği Stratejisi ile Analizi

Year 2016, Volume: 6 Issue: 1, 203 - 210, 01.01.2016

Gülnur Çelik Kızılkan Ahmet Duman Kemal Aydın

Abstract

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

Keywords

Salgın hastalık modeli SIR modeli Adım genişliği stratejisi Lineer olmayan diferensiyel denklem sistemi Değişken adım genişliği

References

  • 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)
  • 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.
  • 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).
  • 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.
  • 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).

Analysis with Variable Step Size Strategy of Some SIR Epidemic Models

Year 2016, Volume: 6 Issue: 1, 203 - 210, 01.01.2016

Gülnur Çelik Kızılkan Ahmet Duman Kemal Aydın

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 .

Keywords

Epidemic model SIR model Step size strategy System of non-linear differential equations Variable step size

References

  • 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)
  • 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.
  • 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).
  • 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.
  • 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).
There are 9 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Gülnur Çelik Kızılkan This is me

Ahmet Duman This is me

Kemal Aydın This is me

Publication Date January 1, 2016
Published in Issue Year 2016 Volume: 6 Issue: 1

Cite

APA Çelik Kızılkan, G., Duman, A., & Aydın, K. (2016). Analysis with Variable Step Size Strategy of Some SIR Epidemic Models. Karaelmas Fen Ve Mühendislik Dergisi, 6(1), 203-210.
AMA Çelik Kızılkan G, Duman A, Aydın K. Analysis with Variable Step Size Strategy of Some SIR Epidemic Models. Karaelmas Fen ve Mühendislik Dergisi. January 2016;6(1):203-210.
Chicago Çelik Kızılkan, Gülnur, Ahmet Duman, and Kemal Aydın. “Analysis With Variable Step Size Strategy of Some SIR Epidemic Models”. Karaelmas Fen Ve Mühendislik Dergisi 6, no. 1 (January 2016): 203-10.
EndNote Çelik Kızılkan G, Duman A, Aydın K (January 1, 2016) Analysis with Variable Step Size Strategy of Some SIR Epidemic Models. Karaelmas Fen ve Mühendislik Dergisi 6 1 203–210.
IEEE G. Çelik Kızılkan, A. Duman, and K. Aydın, “Analysis with Variable Step Size Strategy of Some SIR Epidemic Models”, Karaelmas Fen ve Mühendislik Dergisi, vol. 6, no. 1, pp. 203–210, 2016.
ISNAD Çelik Kızılkan, Gülnur et al. “Analysis With Variable Step Size Strategy of Some SIR Epidemic Models”. Karaelmas Fen ve Mühendislik Dergisi 6/1 (January 2016), 203-210.
JAMA Çelik Kızılkan G, Duman A, Aydın K. Analysis with Variable Step Size Strategy of Some SIR Epidemic Models. Karaelmas Fen ve Mühendislik Dergisi. 2016;6:203–210.
MLA Çelik Kızılkan, Gülnur et al. “Analysis With Variable Step Size Strategy of Some SIR Epidemic Models”. Karaelmas Fen Ve Mühendislik Dergisi, vol. 6, no. 1, 2016, pp. 203-10.
Vancouver Çelik Kızılkan G, Duman A, Aydın K. Analysis with Variable Step Size Strategy of Some SIR Epidemic Models. Karaelmas Fen ve Mühendislik Dergisi. 2016;6(1):203-10.