Limit cycles of a three-dimensional bio-reactor with inhibition responses

作者：Zhu Lemin^*

来源：Journal of Mathematical Chemistry, 2008, 44(3): 862-871.

DOI：10.1007/s10910-008-9387-2

• global stability
• center manifold
• competition model
• limit cycles

By using a relation connecting the global stability and Hopf bifurcation, the existence of limit cycles in a three-dimensional bio-reactor model of exploitative competition of two predator organisms with inhibition responses for the same renewable organism with reproductive properties is obtained. We also correct the proof of the main result in a previous paper of the same model (Su et al., J. Math. Chem., 2007).

• 出版日期2008-10
• 单位扬州市职业大学