Stability of Systems of Differential Equations and Biological Applications
2010
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Özet (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. ……………………………………………………………………………………………………………………………………………………………………………………………………………………
Yazar
Dr. İpek Savun
Bu Yayına Nasıl Atıf Yapılır
İpek Savun (Master Thesis). Stability of Systems of Differential Equations and Biological Applications, 2010, Eastern Mediterranean University, Department of Mathematics.
Lisans
Tüm Hakları Saklıdır
Bu eser belirtilen lisans koşulları altında paylaşılmaktadır.
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