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Prof. Abd Elkareem Soliman :: Publications:

Title:
Stability of Lotka–Volterra system,J.Of Mathematical SCiences,V.161,N.8
Authors: A.A.Soliman
Year: 2009
Keywords: Stability -Lotka–Volterra system - three species. - four species-technique - Lyapunov–Razumikhin method.
Journal: Journal of Mathematical Sciences
Volume: 161
Issue: 2
Pages: 308-319
Publisher: Springer US
Local/International: International
Paper Link:
Full paper Abd Elkareem Soliman_STABILITY OF L OTKA–VOLTERRA SYSTEM.pdf
Supplementary materials Not Available
Abstract:

The stability of Lotka–Volterra system has been discussed by many authors for two and three species. In this paper, we will discussed the notion of stability for a Lotka–Volterra system with four species. Some criteria and results are given. Our technique depends on the Lyapunov – Razumikhin method.

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