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ALMOST PERIODIC SOLUTION FOR A CLASS OF LOTKA-VOLTERRA TYPE N-SPECIES ECOLOGICAL SYSTEMS WITH TIME DELAY
作者姓名:MENG  Xinzhu
作者单位:Department of Applied Mathematics, University of Technology, Dalian 116024; Department of Basic Courses, Shandong University of Science and Technology, Qingdao 266510, China.
基金项目:This research is supported by the National Natural Science Foundation of China(1017105{5).
摘    要:The uniform permanence and global asymptotic stability of a class of almost periodic Lotka-Volterra type N-species competitive systems with diffusion and delays are investigated. It is shown that the system is uniformly persistent under some appropriate conditions, and new sufficient conditions are obtained for the global asymptotic stability of the unique positive almost periodic solution of the system.

关 键 词:无限延迟  扩散理论  渐进线稳定性  周期解  竞争系统
收稿时间:2004-01-09
修稿时间:2004-01-092005-06-09

ALMOST PERIODIC SOLUTION FOR A CLASS OF LOTKA-VOLTERRA TYPE N-SPECIES ECOLOGICAL SYSTEMS WITH TIME DELAY
MENG Xinzhu.ALMOST PERIODIC SOLUTION FOR A CLASS OF LOTKA-VOLTERRA TYPE N-SPECIES ECOLOGICAL SYSTEMS WITH TIME DELAY[J].Journal of Systems Science and Complexity,2005,18(4):488-497.
Authors:MENG;Xinzhu
Abstract:The uniform permanence and global asymptotic stability of a class of almost periodic Lotka-Volterra type N-species competitive systems with diffusion and delays are investigated. It is shown that the system is uniformly persistent under some appropriate conditions, and new sufficient conditions are obtained for the global asymptotic stability of the unique positive almost periodic solution of the system.
Keywords:Infinite delay  diffusion  uniform persistence  global asymptotic stability  almost periodic solution  
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