Ordinary Differential Equations and Applications II: with Maple Illustrations

Stability Theory

Author(s): Benjamin Oyediran Oyelami *

Pp: 96-111 (16)

DOI: 10.2174/9789815313864124010012

* (Excluding Mailing and Handling)

Abstract

Stability including its characterizations is considered using quantitative and qualitative theories. Stability criteria are discussed using the Routh-Hurwitz criterion and fundamental matrices. Stability is investigated for nonlinear systems through linearization and Lyaponov’s methods. Applications are made to single and multispecies population models.


Keywords: Fundamental matrices, Linearization, Lyaponov’s stability, Multispecies populations, Nonlinear systems, Routh-Hurwitz criteria, Stability criteria, Single species populations.