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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2016 / Cilt: 16 - Sayı: 3

Generalized Stability for a Class of Nonlinear Difference Population Model

Lineer Olmayan Fark Popülasyon Modelininbir Sınıfı için Genelleştirilmiş Kararlılık

Özlem GÜMÜŞ Ak
Pages
585–591
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Stability conditions obtained by linearizing this model have been generalized to a certain step by presenting a different approach.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, non-linear difference population model has been considered.
📊
Key Findings & Data:In this study, non-linear difference population model has been considered.
💡
Conclusion & Impact:Stability conditions obtained by linearizing this model have been generalized to a certain step by presenting a different approach.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

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.

Özet

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.

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Cite This Article

Ak, Ö. G. (2022). Generalized Stability for a Class of Nonlinear Difference Population Model. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 16 - Sayı: 3, 585–591. https://ajindex.com/articles/430231

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References (4)

  1. 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.
  2. 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.
  3. 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.
  4. 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.