| PERMANENCE OF A NONAUTOMONOUS POPULATION MODEL |
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| 作者姓名： | 王稳地 马知恩 |
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| 作者单位： | WANG WENDI(Deportment of Mathematics，Southwest Normal University，Chonyqing 630715，China)MA ZHIEN (Deportment of Mathematics，Xi'an Jiaotong University，Xi'an 710049，China) |
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| 摘 要： | 1.IntroductionPersistenceofpopulationsplaysanimportantroleinmathematicalecology.Inrecentyears)muchattentionhasbeengiventothepersistenceofnonautomonouspopulationmodelsll--6].1]proposedtheconceptofpersistenceinthemeanofpopulations.Thisisofimportancebecausenotonlyitprovidesawaytocharacterizethepersistenceofpopula-nons,butalsothereareonlythresholdsbetweenpersistenceinthemeanandtheextinctionofpopulationsforgeneralnonautomonouspopulationmodels.In2]thethresholdwasestablishedforone-dimensionalnonaut…
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| 收稿时间： | 22 July 1994 |
Permanence of a nonautomonous population model |
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| Wang Wendi,Ma Zhien.PERMANENCE OF A NONAUTOMONOUS POPULATION MODEL[J].Acta Mathematicae Applicatae Sinica,1998,14(1):86-95. |
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| Authors: | Wang Wendi Ma Zhien |
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| Institution: | (1) Department of Mathematics, Southwest Normal University, 630715 Chongqing, China;(2) Department of Mathematics, Xi’an Jiaotong University, 710049 Xi’an, China |
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| Abstract: | A nonautomonous predator-prey system is studied in this paper. A logistic growth rate of the prey and a functional response of the predator are assumed. Throughout this paper, the main interest is in ther results yielding the threshold between the weak permanence in the mean and the extinction of populations. |
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| Keywords: | Permanence extinction nonautomonous population |
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