The Lotka-Volterra predator-prey model
The Lotka-Volterra predator-prey model
The Lotka-Volterra predator-prey model
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Michaelis-Menten batch population kinetics<br />
C<br />
u 1<br />
u 2<br />
S 1 S 2<br />
dS 1<br />
dt<br />
dS 2<br />
dt<br />
dC<br />
dt<br />
= − 1 Y 1<br />
S 1<br />
K 1 + S 1<br />
u 1 C<br />
= − 1 S 2<br />
u 2 C<br />
Y 2 K 2 + S<br />
( 2<br />
µ1 S 1<br />
=<br />
u 1 + µ )<br />
2S 2<br />
u 2 C<br />
K 1 + S 1 K 2 + S 2<br />
S 1 , S 2 - sugar concentration (eg. glucose and lactose)<br />
C - bacterial population<br />
u i -bacterial preference for the i−th (u 1 + u 2 = 1, i = 1, 2) sugar
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