A Competition Chemostat with General Variable Yield and Growth Rates in the Presence of a Internal Inhibitor

Abstract:

This paper considered two organisms competing for a nutrient in the chemostat in the presence of an inhibitor, where the yields and growth rates are general increasing function of the nutrient concentration. The inhibitor is produced by one organisms and is lethal to the other organism. By the theory of qualitative analysis for ordinary equations, first, conditions of the existence and local stability of the rest points are obtain; then the global asymptotical stability, the existence of limit cycles and Hopf bifurcation are discussed.

• Periodical: Applied Mechanics and Materials (Volumes 110-116)
• Pages: 285-293
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.110-116.285
• Online since: October 2011
• Authors: Jian Mei Luo, Yu Ming Feng
• Keywords: Hemostat, Hopf Bifurcation, Limit Cycle, Stability

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