期刊文献+

恒化器中三级营养n个种群的竞争

Competition on Three Trophic Levels of n-Species in the Chemostat
下载PDF
导出
摘要 探讨了恒化器中三级营养n个种群的竞争模型.利用比较原理得到物种共存,推导出系统的有界性以及耗散性,并且讨论了系统平衡点的存在性和稳定性. A competition model about three trophic levels of n-species in a chemostat was considered.Coexistence about this system was occurred by using comparison theorem.The boundedness and dissipativeness of the system were obtained,and the existence and stability of the system's equilibrium were discussed.
出处 《鲁东大学学报(自然科学版)》 2015年第1期5-10,共6页 Journal of Ludong University:Natural Science Edition
关键词 恒化器 竞争 耗散性 平衡点 chemostat competition dissipative equilibrium
  • 相关文献

参考文献10

  • 1陆志奇.带有互相干扰的对一个食物源的竞争[J].河南师范大学学报(自然科学版),1994,22(1):1-5. 被引量:2
  • 2Hale J K, Somolinos A S. Competition for fluctuating nutrient [ J ]. J Math Biol, 1983,18 (3) : 255-280.
  • 3Li Bingtuan, Kuang Yang. Simple food chain in a chemostat with distinct removal rates [ J ]. J Math Anal Appl,2000,242 ( 1 ) :75-92.
  • 4El-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.
  • 5Bohannan 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.
  • 6Llibre 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.
  • 7Butler G J,Hsu S B,Wahman P. Coexistence of competing predators in a chemostat [ J ]. J Math Biol, 1983,17 (2) :133 -151.
  • 8Zhou 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.
  • 9Smith J M, Slatkin M. The stability of predator-prey systems [ J ]. Ecology, 1973,54 ( 2 ) :384-391.
  • 10Brauer F, Soudaek A C. Coexistence properties of some predator-prey systems under constant rate harvesting and stocking [J]. J Math Bioi,1982,12(1 ) :101-114.

共引文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部