Partial extinction,permanence and global attractivity in nonautonomous n-species Lotka-Volterra competitive systems with impulses |
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Authors: | Juan Hou Zhi-dong Teng Shu-jing Gao |
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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 |
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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. |
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Keywords: | Nonautonomous Lotka-Volterra system Impulsive e?ects Competition Extinction Permanence Global attractivity. |
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