2010/02/25 by Tewfik Sari, Sari, Tewfik
Biochemistry, Genetics and Molecular Biology · Medicine · Social Sciences · #34C15 #34C35 #92A15 #92A17 #Dynamical Systems (math.DS) #Evolution and Genetic Dynamics #Evolutionary Game Theory and Cooperation #FOS: Mathematics #Mathematical and Theoretical Epidemiology and Ecology Models
paper · pdf · doi:10.48550/arxiv.1002.4807
openalex publication_date 2010/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we consider a competition model between n species in a chemostat including both monotone and non-monotone response functions, distinct removal rates and variable yields. We show that only the species with the lowest break-even concentration survives, provided that additional technical conditions on the growth functions and yields are satisfied. LaSalle's extension theorem of the Lyapunov stability theory is the main tool.