Coexistence of an unstirred chemostat model with B-D functional response by fixed point index theory

Journal of inequalities and applications

Xiao-zhou Feng¹ 

关键词: chemostat;    degree theory;    the fixed point index theory;    bifurcation theory;   

DOI  :  10.1186/s13660-016-1241-7

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals with an unstirred chemostat model with the Beddington-DeAngelis functional response. First, some prior estimates for positive solutions are proved by the maximum principle and the method of upper and lower solutions. Second, the calculation on the fixed point index of chemostat model is obtained by degree theory and the homotopy invariance theorem. Finally, some sufficient condition on the existence of positive steady-state solutions is established by fixed point index theory and bifurcation theory.

【 授权许可】

CC BY