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THE MODEL AND ITS LIMITING BEHAVOUR FOR COMPETING SPECIES IN OCEANS WITH DELAYED NUTRIENT RECYCLING
王德全,黄永年
摘要(Abstract):
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。
关键词(KeyWords): 恒化器模型;再生养分流;持续生存;灭绝
基金项目(Foundation):
作者(Author): 王德全,黄永年
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