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Dynamics of competitive Lotka-Volterra systems that can be projected to a line

✍ Scribed by Yuanshi Wang; Hong Wu

Book ID: 104352771
Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 497 KB
Volume: 47
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(04)90121-6

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✦ Synopsis

it is known that for a three-species autonomous competitive Lotka-Volterra system where axial fixed points are local attractors, almost all trajectories converge to the axial fixed points. For an n-species autonomous competitive Lotka-Volterra system, we prove that almost all trajectories converge to the axial fixed points if the axial fixed points are local attractors and the system can be radially projected to a line.

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