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Partial extinction,permanence and global attractivity in nonautonomous n-species Lotka-Volterra competitive systems with impulses
Authors:Juan Hou  Zhi-dong Teng  Shu-jing Gao
Affiliation:[1]College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, P.R. China [2]Department of Applied Mathematics, Xinjiang University of Finance and Economics, Urumqi830012, P.R. China [3]College of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, P.R.China
Abstract:In this paper, the qualitative properties of general nonautonomous Lotka-Volterra n-species competitive systems with impulsive effects are studied. Some new criteria on the permanence, extinction and global attractivity of partial species are established by used the methods of inequalities estimate and Liapunov functions. As applications, nonautonomous two species Lotka-Volterra systems with impulses are discussed.
Keywords:Nonautonomous Lotka-Volterra system  Impulsive e?ects  Competition  Extinction  Permanence  Global attractivity.
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