| On Some Species Extinction in the Nonautonomous n -Competing Pecies Systems |
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| 作者姓名： | CHEN Bo\|shan\ \ \ LIU Yong\|qing\ . |
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| 作者单位： | CHEN Bo\|shan\ 1\ \ LIU Yong\|qing\ 2 1. Department of Mathematics，Hubei Normal University，Huangshi 435002，China 2. Department of Automatic Control Engineering South China University of Technology Guangzhou 510641 |
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| 摘 要： | １ ＩｎｔｒｏｄｕｃｔｉｏｎＣｏｎｓｉｄｅｒａｃｏｍｍｕｎｉｔｙｏｆｎｍｕｔｕａｌｌｙｃｏｍｐｅｔｉｎｇｓｐｅｃｉｅｓｍｏｄｅｌｅｄｂｙｔｈｅｎｏｎａｕｔｏｎｏｍｏｕｓＬｏｔｋａＶｏｌｔｅｒｒａｓｙｓｔｅｍｘｉ（ｔ）＝ｘｉ（ｔ）ｂｉ（ｔ）－∑ｎｊ＝１ａｉｊ（ｔ）ｘｊ（ｔ）， ｉ＝１，…，ｎ．（１．１）ｗｈｅｒｅｘｉ（ｔ）ｉｓｔｈｅｐｏｐｕｌａｔｉｏｎｓｉｚｅｏｆｔｈｅｉｔｈｓｐｅｃｉｅｓａｔｔｉｍｅｔ，ｘｉｄｅｎｏｔｅｓｄｘｄｔ，ａｎｄｆｏｒａｌｌｉａｎｄｊｔｈｅｆｕｎｃｔｉｏｎｓａｉｊ（…
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On Some Species Extinction in the Nonautonomous n \|Competing Pecies Systems |
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| CHEN Bo\|shan\ \ \ LIU Yong\|qing\,..On Some Species Extinction in the Nonautonomous n -Competing Pecies Systems[J].Journal of Systems Science and Systems Engineering,1999(3). |
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| Authors: | CHEN Bo\|shan\ \ \ LIU Yong\|qing\ |
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| Institution: | CHEN Bo\|shan\ 1\ \ LIU Yong\|qing\ 2 1. Department of Mathematics,Hubei Normal University,Huangshi 435002,China 2. Department of Automatic Control Engineering South China University of Technology Guangzhou 510641 |
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| Abstract: | We generalize and unify some recent results about extinction in nonautonomous n \|species competitive Lotka\|Volterra system. We exhibit new algebraic criteria which guarantee that any solution with strictly initial values that is positive has the property that some of its components vanishes while other approaches a certain solution of their isolate subsystem. |
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| Keywords: | lotka\|volterra system asymptotic behaviors extinction coexistence |
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