| 带有再生养分流的海洋生物群落的生长模型及其渐近性态 |
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| 引用本文： | 王德全,黄永年. 带有再生养分流的海洋生物群落的生长模型及其渐近性态[J]. 新疆大学学报(理工版), 1992, 0(2) |
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| 作者姓名： | 王德全 黄永年 |
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| 作者单位： | 新疆大学经管系(王德全)，新疆大学数学系(黄永年) |
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| 摘 要： | 本文建立了具有一般养分吸收功能的多种海洋生物种群的生长模型,各种群为了争夺共同的资源而竞争,外界资源供给增量是时间的有界函数,一般地带有滞后的再生养分流补充,并且考虑各种群间竞争因素和每个种群内部的干扰因素。该文讨论了模型的有界性,并证明了当干扰常数m<1时,所考虑的生物群落是永久持续生存的,即每个种群都有正的上下限,当m=1时,在再生养分无滞后时建立了若干种群灭绝的充分条件和持续生存的必要条件。
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| 关 键 词： | 恒化器模型 再生养分流 持续生存 灭绝 |
THE MODEL AND ITS LIMITING BEHAVOUR FOR COMPETING SPECIES IN OCEANS WITH DELAYED NUTRIENT RECYCLING |
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| Wang Dequan,Huang Yongnian. THE MODEL AND ITS LIMITING BEHAVOUR FOR COMPETING SPECIES IN OCEANS WITH DELAYED NUTRIENT RECYCLING[J]. Journal of Xinjiang University(Science & Engineering), 1992, 0(2) |
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| Authors: | Wang Dequan Huang Yongnian |
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| Affiliation: | Wang Dequan;Huang Yongnian Department of Economics Department of Mathematics |
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| Abstract: | In this poper, we consider the model of the oceanic biological system with a general nutrientuptake function and delayed nutrient recycling. The species compete each other for a single essentialnutrient. Under the assumption that input of the nutrient variations is bounded, and there exist the mu-tual interference of each species and the competition of n species. We discuss the boundness of the solu-tion and prove that when the interference constant m<1, the persistence of all species is establishedand doesnot depend on the harvest. When m=1 and the time lag in the recycling term may be neglect-ed, We obtain some sufficient condition for the extinction of the species and necessary condition forthe persistence of the species. |
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| Keywords: | chemostat equation recycling persistence extinction |
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