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A Reaction-Diffusion System Arising from Food-Chain in an Unstirred Chemostat
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- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 3
- DOI:
- 10.3969/j.issn.1001-9626.2002.03.002
- Key Word:
- 恒化器;单食物链;正稳态解;比较定理;最大值原理;分支定理;一致持续生存;Chemostat;Food-chain;Positive steady state solutions;Comparison theory;Maximum principle;Bifurcation from a simple eigenvalue;Uniform persistence
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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