Research Article
BibTex RIS Cite

Generalized Stability for a Class of Nonlinear Difference Population Model

Year 2016, Volume: 16 Issue: 3, 585 - 591, 31.12.2016

Abstract

In this study, non-linear difference population model has been
considered. Stability conditions obtained by linearizing this
model have been generalized to a certain step by presenting a
different approach.

References

  • Merdan, H., Ak Gümüş, Ö., 2012. Stability analysis of a general discrete-time population model involving delay and Allee effect, Applied Mathematics and Computation., 219, 1821-1832.
  • Çelik, C., Merdan, H., Duman, O. and Akın, Ö., 2008. Allee effects on population dynamics with delay, Chaos, Solutions and Fractals, 37, 65-74.
  • Elaydi S. N., 2006. An Introduction to Difference Equations, New York.
  • Merdan, H., Karaoğlu, E., 2012. Consequences of Allee Effects on stability analysis of the population model 1 3 = ( ) t t t x  x f x   , Hacettepe Journal of Mathematics and Statistics, 41, (5), 751 – 765.
  • Allen, L.J.S., 2007. An Introduction to Mathematical Biology, Pearson, New Jersey.
  • Ak Gümüş, Ö., 2014. Global and local stability analysis in a nonlinear discrete-time population model, Advances in Difference Equations, 299, 1687-1847.
  • Ak Gümüş, Ö., Köse, H., 2012. On the stability of delay population dynamics related with Allee effects, Mathematical and Computational Applications, 17, (1), 56-67.
  • Ak Gümüş, Ö., Köse, H., 2012. Allee effect on a new delay population model and stability analysis, Journal of Pure and Applied Mathematics: Advances and Applications, 7, 21-31.
Year 2016, Volume: 16 Issue: 3, 585 - 591, 31.12.2016

Abstract

References

  • Merdan, H., Ak Gümüş, Ö., 2012. Stability analysis of a general discrete-time population model involving delay and Allee effect, Applied Mathematics and Computation., 219, 1821-1832.
  • Çelik, C., Merdan, H., Duman, O. and Akın, Ö., 2008. Allee effects on population dynamics with delay, Chaos, Solutions and Fractals, 37, 65-74.
  • Elaydi S. N., 2006. An Introduction to Difference Equations, New York.
  • Merdan, H., Karaoğlu, E., 2012. Consequences of Allee Effects on stability analysis of the population model 1 3 = ( ) t t t x  x f x   , Hacettepe Journal of Mathematics and Statistics, 41, (5), 751 – 765.
  • Allen, L.J.S., 2007. An Introduction to Mathematical Biology, Pearson, New Jersey.
  • Ak Gümüş, Ö., 2014. Global and local stability analysis in a nonlinear discrete-time population model, Advances in Difference Equations, 299, 1687-1847.
  • Ak Gümüş, Ö., Köse, H., 2012. On the stability of delay population dynamics related with Allee effects, Mathematical and Computational Applications, 17, (1), 56-67.
  • Ak Gümüş, Ö., Köse, H., 2012. Allee effect on a new delay population model and stability analysis, Journal of Pure and Applied Mathematics: Advances and Applications, 7, 21-31.
There are 8 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Özlem Ak Gümüş

Publication Date December 31, 2016
Submission Date April 1, 2016
Published in Issue Year 2016 Volume: 16 Issue: 3

Cite

APA Ak Gümüş, Ö. (2016). Generalized Stability for a Class of Nonlinear Difference Population Model. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 16(3), 585-591.
AMA Ak Gümüş Ö. Generalized Stability for a Class of Nonlinear Difference Population Model. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. December 2016;16(3):585-591.
Chicago Ak Gümüş, Özlem. “Generalized Stability for a Class of Nonlinear Difference Population Model”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16, no. 3 (December 2016): 585-91.
EndNote Ak Gümüş Ö (December 1, 2016) Generalized Stability for a Class of Nonlinear Difference Population Model. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16 3 585–591.
IEEE Ö. Ak Gümüş, “Generalized Stability for a Class of Nonlinear Difference Population Model”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 16, no. 3, pp. 585–591, 2016.
ISNAD Ak Gümüş, Özlem. “Generalized Stability for a Class of Nonlinear Difference Population Model”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16/3 (December 2016), 585-591.
JAMA Ak Gümüş Ö. Generalized Stability for a Class of Nonlinear Difference Population Model. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2016;16:585–591.
MLA Ak Gümüş, Özlem. “Generalized Stability for a Class of Nonlinear Difference Population Model”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 16, no. 3, 2016, pp. 585-91.
Vancouver Ak Gümüş Ö. Generalized Stability for a Class of Nonlinear Difference Population Model. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2016;16(3):585-91.