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Nonautonomous Lotka-Volterra Systems with Delays
Authors:Zhidong Teng
Institution:Department of Mathematics, Xinjiang University, Urumqi, 830046, People's Republic of Chinaf1E-mail: zhidong@xju.edu.cnf1
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.
Keywords:nonautonomous Lotka-Volterra system  delay  permanence  global attractivity  strictly positive solution  periodic solution  almost periodic solution
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