| 未搅拌恒化器中单食物链模型的反应扩散方程组 |
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| 引用本文： | 刘婧,郑斯宁. 未搅拌恒化器中单食物链模型的反应扩散方程组[J]. 生物数学学报, 2002, 17(3): 263-272 |
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| 作者姓名： | 刘婧 郑斯宁 |
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| 作者单位： | 大连理工大学,应用数学系,辽宁,大连,116024 |
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| 摘 要： | 本文研究一类描写未搅拌恒化器中单食物链模型的反应扩散方程组，用分定理证明正稳态解的存在性，并给出种群绝灭及持续生存的条件。
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| 关 键 词： | 未搅拌恒化器 单食物链模型 反应扩散方程组 正稳态解 一致持续生存 |
A Reaction-Diffusion System Arising from Food-Chain in an Unstirred Chemostat |
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| LIU Jing ZHENG Si-ning. A Reaction-Diffusion System Arising from Food-Chain in an Unstirred Chemostat[J]. Journal of Biomathematics, 2002, 17(3): 263-272 |
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| Authors: | LIU Jing ZHENG Si-ning |
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| Abstract: | A reaction-diffusion system modelling single food-chain in an unstirred chemostat is considered. The existence of positive steady state solutions is obtained by using the bifurcation theory. Some extinction conditions and persistence conditions are established as well. |
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| Keywords: | Chemostat Food-chain Positive steady state solutions Comparison theory Maximum principle Bifurcation from a simple eigenvalue Uniform persistence |
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