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Author(s): Benjamin Oyediran Oyelami *
Pp: 96-111 (16)
DOI: 10.2174/9789815313864124010012
* (Excluding Mailing and Handling)
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.
Cite this chapter as:
Stability Theory, Ordinary Differential Equations and Applications II: with Maple Illustrations (2024) 1: 96. https://doi.org/10.2174/9789815313864124010012
DOIhttps://doi.org/10.2174/9789815313864124010012
Publisher NameBentham Science Publisher