| THE DISCRETE DYNAMICS FOR COMPETITIVE POPULATIONS OF LOTKA-VOLTERRA TYPE |
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| 引用本文： | LIU LAIFU AND GONG BIN. THE DISCRETE DYNAMICS FOR COMPETITIVE POPULATIONS OF LOTKA-VOLTERRA TYPE[J]. 高校应用数学学报(英文版), 1995, 10(4): 419-426. DOI: 10.1007/BF02662497 |
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| 作者姓名： | LIU LAIFU AND GONG BIN |
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| 摘 要： | ＴＨＥＤＩＳＣＲＥＴＥＤＹＮＡＭＩＣＳＦＯＲＣＯＭＰＥＴＩＴＩＶＥＰＯＰＵＬＡＴＩＯＮＳＯＦＬＯＴＫＡ－ＶＯＬＴＥＲＲＡＴＹＰＥＬＩＵＬＡＩＦＵＡＮＤＧＯＮＧＢＩＮＡｂｓｔｒａｃｔ：Ｔｈｅｄｉｓｃｒｅｔｅｄｙｎａｍｉｃｓｆｏｒｃｏｍｐｅｔｉｔｉｏｎｐ...
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| 关 键 词： | 离散动力学 LOTKA-VOLTERRA模型 存在性 唯一性 |
The discrete dynamics for competitive populations of Lotka-Volterra type |
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| Laifu Liu,Bin Gong. The discrete dynamics for competitive populations of Lotka-Volterra type[J]. Applied Mathematics A Journal of Chinese Universities, 1995, 10(4): 419-426. DOI: 10.1007/BF02662497 |
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| Authors: | Laifu Liu Bin Gong |
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| Affiliation: | LIU LAIFU AND GONG BIN |
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| Abstract: | The discrete dynamics for competition populations of Lotka-Volterra type modeled as N1(t+1)=N1(t) exp[r1(1-N1-b12N2)], N2(t+1)=N2(t) exp[r2(1-N2-b21N1)] is considered in the paper. In the case of non-persistence the attractive behavior of model has been discussed. Especially, there are two attractive sets when h_(ij)>1, and the attractive behaviors are more complicated than that of the corresponding cofitinuous model. The attracted regions are given. We prove that the model is also persistent in the degenerate case of b_(ij)=1. In the persistence case of b_(ij)<1, the existence and uniqueness for two-period points of the model are studied at r1=r2. The condition for the multi-pair of two-period points is indicated and their influences on population dynamical behaviors are shown. |
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| Keywords: | Competition model non-linear discrete dynamics attractive behavior persistence two-period point. |
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