| MULTIPLE LIMIT CYCLES AND GLOBAL STABILITY IN PREDATOR-PREY MODEL |
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| 作者姓名： | 王育全 井竹君 陈启元 |
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| 作者单位： | WANG YUQUAN(College of Science，Nanjing Agricultural University，Nanjing，210095，China);JING ZHUJUN(Insititute of Mfathematics，the Chinese Academy of Sciences，Beijing 100080，China);CHAN K.Y. (Department of Mathematics，Hong Kong Univeristy，Hong Kong |
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| 摘 要： | 1.IntroductionWeconsideranextensivesystemofthefamiliarLotka-Volterrasysteminwhichthepopulationshaveself-inhibit(i.e.,withtheadditionofdampingterm)thatcanbemodeledbytheequationswherexandyrepresentthepreydensityandpredatordensityrespectively.Thespecifi...
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| 收稿时间： | 6 January 1997 |
Multiple limit cycles and global stability in predator-prey model |
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| Wang Yuquan,Jing Zhujun,K. Y. Chan.MULTIPLE LIMIT CYCLES AND GLOBAL STABILITY IN PREDATOR-PREY MODEL[J].Acta Mathematicae Applicatae Sinica,1999,15(2):206-219. |
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| Authors: | Wang Yuquan Jing Zhujun K Y Chan |
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| Institution: | (1) College of Science, Nanjing Agricultural University, 210095 Nanjing, China;(2) Institute of Mathematics, the Chinese Academy of Sciences, 100080 Beijing, China;(3) Department of Mathematics, Hong Kong University, Hong Kong, China |
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| Abstract: | A predator-prey system is investigated for the global stability and existences of limit cycleand at least two limit cycles by using qualitative analysis and the idea of Poincare'-BendixsonTheoy. |
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| Keywords: | Predater-pery system global stability existence of one or two limit cycles |
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