82 Ecology and Applied Environmental Science
Phosphorus
Change of mass = (speed of entrance – speed of its consumption
by producer organisms) dt.
Therefore:
dC
L
K C
K C
X dt
p
p
p
=
− ′ +






If we know the constants Y c , K c , K′ c , b c , Y p , K p , K′ p , b p , the initial concentrations X c0 , X p0 , C 0 and the function L(t), we can arithmetically solve the system
of differential equations step by step (e.g. for temporal step Δt = 24 hours)
and find the values of state variables X c , X p , and C for successive times t.
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