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未搅拌恒化器中单食物链模型的反应扩散方程组(英文) 被引量:12

A Reaction-Diffusion System Arising from Food-Chain in an Unstirred Chemostat
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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,用分支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。 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.
作者 刘婧 郑斯宁
出处 《生物数学学报》 CSCD 2002年第3期263-272,共10页 Journal of Biomathematics
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 Chemostat Food-chain Positive steady state solutions Comparison theory Maximum principle Bifurcation from a simple eigenvalue Uniform persistence
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