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Nonautonomous Lotka–Volterra Systems with Delays

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Abstract:

The paper studies the general nonautonomous Lotka–Volterra multispecies systems with finite delays. The ultimate boundedness, permanence, global attractivity, and existence and uniqueness of strictly positive solutions, positive periodic solutions, and almost periodic solutions are obtained. These results are basically an extension of the known results for nonautonomous Lotka–Volterra multispecies systems without delay to systems with delay. © 2002 Elsevier Science (USA).

Keywords: Volterra system; almost periodic solution; delay, permanence; global attractivity; nonautonomous Lotka–; periodic solution; strictly positive solution

Document Type: Research Article

Affiliations: Department of Mathematics, Xinjiang University, Urumqi, 830046, People's Republic of China

Publication date: March 1, 2002

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