Existence and Stability of Periodic Solution to Delayed Nonlinear Differential Equations

Xiang Gu, Huicheng Wang, P. J. Y. Wong and Yonghui Xia

Abstract and Applied Analysis, 2014, vol. 2014, 1-12

Abstract:

The main purpose of this paper is to study the periodicity and global asymptotic stability of a generalized Lotka-Volterra’s competition system with delays. Some sufficient conditions are established for the existence and stability of periodic solution of such nonlinear differential equations. The approaches are based on Mawhin’s coincidence degree theory, matrix spectral theory, and Lyapunov functional.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:156948

DOI: 10.1155/2014/156948

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