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带有互相干扰的对一个食物源的竞争 被引量:2

Competition with Interaction for a Single Nutrient
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摘要 对于在恒化器中多个种群开发竞争一个食物(营养)源数学模型的研究已见于众多的文献之中,例如([1][2][3]).它们的结论是对于种群具有一般的功能反应时竞争排斥原理成立,即只有一个种群幸存,其余种群都趋于绝种.本文研究两个种群互相干扰的情况下,竞争同一食物源的模型.得到竞争排斥原理成立的条件,并讨论了系统的持续生存. This paper concerns a competition of two populations with interaction for a singlenutrient.Given a condition of one species surviving,persistence criteria is obtained.
作者 陆志奇
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 1994年第1期1-5,共5页 Journal of Henan Normal University(Natural Science Edition)
基金 河南省科委资助
关键词 功能反应 竞争排斥 种群 食物源 response functions competitive exclusion persistence
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同被引文献13

  • 1L-Owaidy H E and E-Leithy O A. Persistence in the chesnostat. J. Math. Biosci, 1990,101 :27
  • 2Freedman H I and Xu YuanTong. Models of competition in the chemostat with instantanous and delayed nutrient recycling. J. Math. Biosci, 1993,31 : 513
  • 3Lawrence Perko. Differential Equations and Dynamical systems. NewYork springer-verlag : 276
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  • 5Li Bingtuan, Kuang Yang. Simple food chain in a chemostat with distinct removal rates [ J ]. J Math Anal Appl,2000,242 ( 1 ) :75-92.
  • 6El-Sheikh M M A, Mahrouf S A A. Stability and bifurcation of a simple food chain in a chemostat with removal rates [ J ]. Chaos, Solitons and Fractals, 2005,23 (4) : 1475-1489.
  • 7Bohannan B J M, Lenski R E. Effect of prey heterogeneity on the response of a model food chain to resource enrichment [ J ]. American Naturalist, 1999,153 ( 1 ) :73-82.
  • 8Llibre J, Xiao Dongmei. Global dynamics of a Lotka--Voherra model with two predators competing for one prey [ J ]. SIAM J Appl Math,2014,74(2) : 434-453.
  • 9Butler G J,Hsu S B,Wahman P. Coexistence of competing predators in a chemostat [ J ]. J Math Biol, 1983,17 (2) :133 -151.
  • 10Zhou Can, Fujiwara M, Grant W E. Dynamics of a predator-prey interaction with seasonal reproduction and continuous pre- dation [ J ]. Ecological Modelling,2013,268 ( 24 ) :25-36.

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