Abstract:
We model a periodic chemostat with allelopathic growth inhibition. The operating parameters including
the nutrient supply, washout rate and nutrient uptake function are allowed to be periodic functions of time
with commensurate periods. We show that comWe demonstrate that the species with the smallest break-even concentration
survives the competition for a single growth-limiting nutrient independent of the initial conditions. Using
Matlab software, we carry out numerical simulations to confirm the theoretical findings.
Key words: Periodic Chemostat; Allelopathic Growth Inhibition; Exploitative Competition; Competitive
Exclusion.
AMS subject classifications: 34C25, 34D05, 34D45, 92D25, 92D40
