Stability of Systems of Differential Equations and Biological Applications
2010
0 views
0 downloads
Abstract (EN)
ABSTRACT: In this thesis, we deal with systems of ordinary differential equations and discuss the stability properties of their solutions. We classify equilibrium points of linear systems with respect to their type and stability and discuss the methods for investigating the stability properties of nonlinear systems. Existence of periodic solutions which plays an important role in stability theory is also discussed. In addition, some important ecological applications, such as Lotka-Volterra predator-prey model, competition model and nutrient-prey-predator model with intratrophic predation, modeled by the systems of differential equations are also considered. Recent results obtained for these applications are also included. Keywords: Stability, Periodic solution, Predator-prey model, Intratrophic predation. ……………………………………………………………………………………………………………………………………………………………………………………………………………………
Author
Dr. İpek Savun
How to Cite
İpek Savun (Master Thesis). Stability of Systems of Differential Equations and Biological Applications, 2010, Eastern Mediterranean University, Department of Mathematics.
License
Tüm Hakları Saklıdır
This work is shared under the specified license terms.
More theses from Eastern Mediterranean University
- An Investigation on Time and Cost Overrun in Construction Projects(2012)
- Radial Power-Law Position-dependent Mass, Cylindrical Coordinates, Spectral Signatures(2015)
- Predicting performance level of reinforced concrete structures subject to corrosion as a function of time(2012)
- Discussion of Conservation Approaches for the Selected Heritage Buildings in the Walled City of Famagusta(2019)
- High School Students' Learning Styles in North Cyprus(2011)
- Afyonkarahisar İl Merkezinde Yaşayan 18 Yaş ve Üzeri Kadınların Diyet Posasıyla İlgili Bilgi Düzeylerinin ve Posa Alım Miktarlarının Belirlenmesi(2018)