A(t), C(t), P(t)

Model Variables; Population of Given Bacteria Group

, ,

Growth Parameters; Growth Rate of Given Bacteria Group

, ,

, , , , ,

Growth Rate Divided by the Carrying Capacity

Interaction Parameters; (the subscript shows the

interactive impact of first bacteria on second bacteria)

f, h, g

α, d

Beneficial Effect of Paired Bacteria on Given Bacteria; Probiotic

Ingestion Rate, and Probiotic Dissolving Rate