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题名: Modeling on an ecological food chain with recycling
作者: Cai, Qinghua2; Mohamad, Zakaria1; Yuan, Yuan1
通讯作者: Yuan, Y (reprint author), Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada.
关键词: Nutrient ; Phytoplankton ; Stability ; Hopf bifurcation
刊名: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
发表日期: 2012-12-01
DOI: 10.1016/j.cnsns.2012.04.022
卷: 17, 期:12, 页:4856-4869
收录类别: SCI
文章类型: Article
部门归属: [Mohamad, Zakaria; Yuan, Yuan] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada; [Cai, Qinghua] Chinese Acad Sci, Inst Hydrobiol, State Key Lab Freshwater Ecol & Biotechnol, Wuhan 430072, Peoples R China
WOS标题词: Science & Technology ; Physical Sciences ; Technology
资助者: Chinese Foundation; Natural Sciences and Engineering Research Council of Canada
类目[WOS]: Mathematics, Applied ; Mathematics, Interdisciplinary Applications ; Mechanics ; Physics, Fluids & Plasmas ; Physics, Mathematical
研究领域[WOS]: Mathematics ; Mechanics ; Physics
摘要: We propose two nutrient-phytoplankton models with instantaneous and time delayed recycling, investigate the dynamics and examine the responses to model complexities. Instead of the familiar specific uptake rate and growth rate functions, we assume only that the nutrient uptake and phytoplankton growth rate functions are positive, increasing and bounded above. We use geometrical and analytical methods to find conditions for the existence of none, one, or at most two positive steady states and analyze the stability properties of each of these equilibria. With the variation of parameters, the system may lose its stability and bifurcation may occur. We study the occurrence of Hopf bifurcation and the possibility of stability switching. Numerical simulations illustrate the analytical results and provide further insight into the dynamics of the models, biological interpretations are given. (C) 2012 Elsevier B.V. All rights reserved.
英文摘要: We propose two nutrient-phytoplankton models with instantaneous and time delayed recycling, investigate the dynamics and examine the responses to model complexities. Instead of the familiar specific uptake rate and growth rate functions, we assume only that the nutrient uptake and phytoplankton growth rate functions are positive, increasing and bounded above. We use geometrical and analytical methods to find conditions for the existence of none, one, or at most two positive steady states and analyze the stability properties of each of these equilibria. With the variation of parameters, the system may lose its stability and bifurcation may occur. We study the occurrence of Hopf bifurcation and the possibility of stability switching. Numerical simulations illustrate the analytical results and provide further insight into the dynamics of the models, biological interpretations are given. (C) 2012 Elsevier B.V. All rights reserved.
关键词[WOS]: PHYTOPLANKTON BLOOMS ; COMPETITION ; NUTRIENT ; COEXISTENCE ; PERSISTENCE ; STABILITY ; ECOSYSTEM ; SYSTEM ; DELAY
语种: 英语
WOS记录号: WOS:000307104000038
ISSN号: 1007-5704
Citation statistics:
内容类型: 期刊论文
URI标识: http://ir.ihb.ac.cn/handle/342005/17222
Appears in Collections:淡水生态学研究中心_期刊论文

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作者单位: 1.Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada
2.Chinese Acad Sci, Inst Hydrobiol, State Key Lab Freshwater Ecol & Biotechnol, Wuhan 430072, Peoples R China

Recommended Citation:
Cai, Qinghua; Mohamad, Zakaria; Yuan, Yuan.Modeling on an ecological food chain with recycling,COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2012,17(12):4856-4869
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