Özlem GÜMÜŞ Ak

Lineer Olmayan Fark Popülasyon Modelininbir Sınıfı için Genelleştirilmiş Kararlılık

Yayın Aralığı: 6
Başlangıç: 2015
Yayıncı: AFYON KOCATEPE ÜNİVERSİTESİ

Bu çalışmada, lineer olmayan fark popülasyon modeli gözönüne alındı. Bu model lineerleştirilerek elde edilen kararlılık şartları, farklı bir yaklaşım sunarak belirli bir adıma kadar genelleştirildi.

Generalized Stability for a Class of Nonlinear Difference Population Model

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.

PDF

___

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 x? ( t1=? t x f xt3), Hacettepe Journal of ?3) 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.