Periodicity in a Periodically Mediated Chemostat with Allelopathic Growth Inhibition

dc.contributor.author	Tinga Nyale ∗ , Adu Wasike, Makwata Harun, John Matuya
dc.date.accessioned	2024-08-01T08:45:57Z
dc.date.available	2024-08-01T08:45:57Z
dc.date.issued	2024
dc.identifier.uri	http://hdl.handle.net/123456789/15726
dc.description.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	en_US
dc.language.iso	en	en_US
dc.title	Periodicity in a Periodically Mediated Chemostat with Allelopathic Growth Inhibition	en_US
dc.type	Article	en_US