具时滞Lotka-Volterra互惠系统的全局吸引性

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YANG Fan, JIANG Da-Qing. Global Attractivity of Positive Periodic Solution of Facultative Mutualism System with Several Delays[J].Acta mathematica scientia,Series A, 2002, 22(4): 518-524.

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［１］　ＧｏｐａｌｓａｍｙＫ，ＸｕｅｚｈｏｎｇＨｅ．Ｐｅｒｓｉｓｔｅｎｃｅ，ａｔｔｒａｃｔｉｖｉｔｙ，ａｎｄｄｅｌａｙｉｎｆａｃｕｌｔａｔｉｖｅｍｕｔｕａｌｉｓｍ．ＪｏｕｒｎａｌｏｆＭａｔｈｅｍａｔｉｃａｌ
ＡｎａｌｙｓｉｓａｎｄＡｐｐｌｉｃａｔｉｏｎｓ，１９９７，２１５：１５４－１７３
［２］　ＷａｎｇＷ，ＭａＺ．Ｈａｒｍｌｅｓｓｄｅｌａｙｓｆｏｒｕｎｉｆｏｒｍｐｅｒｓｉｓｔｅｎｃｅ．ＪＭａｔｈＡｎａｌＡｐｐｌ，１９９１，１５８：２５６－２６８
［３］　ＫｕａｎｇＹ．ＤｅｌａｙＤｉｆｆｅｒｅｎｔｉａｌＥｑｕａｔｉｏｎｓｗｉｔｈａｐｐｌｉｃａｔｉｏｎｓｉｎＰｏｐｕｌａｔｉｏｎＤｙｎａｍｉｃｓ．ＮｅｗＹｏｒｋ：ＡｃａｄｅｍｉｃＰｒｅｓｓ，
１９９３
［４］　ＣｈｅｎＬ，ＬｕＺ，ＷａｎｇＷ．ＴｈｅｅｆｆｅｃｔｏｆｄｅｌａｙｓｏｎｔｈｅｐｅｒｍａｎｅｎｃｅｆｏｒＬｏｔｋａＶｏｌｔｅｒｒａｓｙｓｔｅｍｓ．ＡｐｐｌＭａｔｈＬｅｔｔ，
１９９５，８：７１－７３
［５］　ＦｒｅｅｄｍａｎＨＩ，ＷａｌｔｍａｎＰ．Ｐｅｒｓｉｓｔｅｎｃｅｉｎｍｏｄｅｌｓｏｆｔｈｅｔｈｒｅｅｉｎｔｅｒａｃｔｉｎｇｐｒｅｄａｔｏｒｐｒｅｙｐｏｐｕｌａｔｉｏｎｓ．ＭａｔｈＢｉｏｓｃｉ，
１９８４，６８：２１３－２３１
［６］　ＧｏｈＢＳ．Ｓｔａｂｉｌｉｔｙｉｎｍｏｄｅｌｓｏｆｍｕｔｕａｌｉｓｍ．ＡｍｅｒＮａｔｕｒａｌ，１９７９，１１３：２６１－２７５
［７］　ＷｏｌｉｎＣＬ，ＬａｗｌｏｒＬＲ．Ｍｏｄｅｌｓｏｆｆａｃｕｌｔａｔｉｖｅｍｕｔｕａｌｉｓｍ：Ｄｅｎｓｉｔｙｅｆｆｅｃｔｓ．ＡｍｅｒＮａｔｕｒａｌ，１９８４，１２４：８４３－８６２
［８］　ＢａｒｂａｌａｔＩ．Ｓｙｓｔｅｍｓｄ＇ｅｑｕａｔｉｏｎｓｄｉｆｆｅｒｅｎｔｉｅｌｌｅｄ＇ｏｓｃｉｌｌａｔｉｏｎｓｎｏｎｌｉｎｅａｉｒｅｓ．ＲｅｖＲｏｕｍａｉｎｅＭａｔｈＰｕｒｅｓＡｐｐｌ，１９５９，４：
２６７－２７０
［９］　ＲａｉＢ，ＦｒｅｅｄｍａｎＨＩ，ＡｄｄｉｃｏｔｔＪ．Ａｎａｌｙｓｉｓｏｆｔｈｒｅｅｓｐｅｃｉｅｓｍｏｄｅｌｓｍｕｔｕａｌｉｓｍｉｎｐｒｅｄａｔｏｒｐｒｅｙａｎｄｃｏｍｐｅｔｉｔｉｖｅｓｙｓ
ｔｅｍｓ．ＭａｔｈＢｉｏｓｃｉ，１９８３，６５：１３－５０
［１０］　ＦｒｅｅｄｍａｎＨＩ，ＲａｉＢ．Ｕｎｉｆｏｒｍｐｅｒｓｉｓｔｅｎｃｅａｎｄｇｌｏｂａｌｓｔａｂｉｌｉｔｙｉｎｍｏｄｅｌｓｉｎｖｏｌｖｉｎｇｍｕｔｕａｌｉｓｍ１，Ｐｒｅｄａｔｏｒｐｒｅｙ
ｍｕｔｕａｌｉｓｔｉｃｓｙｓｔｅｍｓ．Ｉｎ：ＳｈｕｋｌａＪＢ，ＨａｌｌａｍＴＧ，ＣａｐａｓｓｏＶ，Ｅｄｓ．ＭａｔｈｅｍａｔｉｃａｌＭｏｄｅｌｌｉｎｇｏｆＥｎｖｉｒｏｎｍｅｎｔａｌ
ａｎｄＥｃｏｌｏｇｉｃａｌＳｙｓｔｅｍｓ．Ａｍｓｔｅｒｄａｍ：Ｅｌｓｅｖｉｅｒ，１９８７．１９３－２０２
［１１］　ＦｒｅｅｄｍａｎＨＩ，ＲａｉＢ．Ｕｎｉｆｏｒｍｐｅｒｓｉｓｔｅｎｃｅａｎｄｇｌｏｂａｌｓｔａｂｉｌｉｔｙｉｎｍｏｄｅｌｓｉｎｖｏｌｖｉｎｇｍｕｔｕａｌｉｓｍ２，Ｃｏｍｐｅｔｉｔｏｒｃｏｍ
ｐｅｔｉｔｏｒｍｕｔｕａｌｉｓｔｓｙｓｔｅｍ．ＩｎｄｉａｎＪＭａｔｈ，１９８８，３０：１７５－１８６
［１２］　ＦｒｅｅｄｍａｎＨＩ，ＡｄｄｉｃｏｔｔＪＦ，ＲａｉＢ．Ｏｂｌｉｇａｔｅｍｕｔｕａｌｉｓｍｗｉｔｈａｐｒｅｄａｔｏｒ：Ｓｔａｂｉｌｉｔｙａｎｄｐｅｒｓｉｓｔｅｎｃｅｏｆｔｈｒｅｅｓｐｅｃｉｅｓ
ｍｏｄｅｌｓ．ＴｈｅｏｒｅｔＰｏｐｕｔａｔｉｏｎＢｉｏｌ，１９８３，３２：４０９－４１７
［１３］　ＧｏｐａｌｓａｍｙＫ，ＨｅＸ，ＷｅｎＬ．ＧｌｏｂａｌａｔｔｒａｃｔｉｖｉｔｙａｎｄｏｓｃｉｌｌａｔｉｏｎｓｉｎａｐｅｒｉｏｄｉｃＬｏｇｉｓｔｉｃｉｎｔｅｇｒｏｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎ．ＨｏｕｓｔｏｎＪＭａｔｈ，１９９１，１７：１５７－１７７

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[7]	Yu Yuanhong Fang Hui Zhou Yong. Oscillatory and Asymptotic Behavior of Solutions for Second Order Functional Differential Equations with Forcing Term [J]. Acta mathematica scientia,Series A, 2000, 20(4): 445-450.
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Global Attractivity of Positive Periodic Solution of Facultative Mutualism System with Several Delays

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