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.
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