WGU C878 Task 1 |Passed on First Attempt
|Latest Update with Complete Solution
A.
dP =rP ( 1− P )
dt K
P represents the population of fish at any given
time (t).
r represents the intrinsic growth rate of the fish
population.
K is the fixed carrying capacity of the lake.
represents the rate of change of the fish
d population with respect to time.
P
d
t
rP represents proportional to
population size. A1.
This differential equation models both conditions
in the fish scenario because of the following
reasons:
The fish population is considered a smaller
population when it is small or very small
compared to the carrying capacity (P << K), in
which case the term P/K is close to zero. When the
|Latest Update with Complete Solution
A.
dP =rP ( 1− P )
dt K
P represents the population of fish at any given
time (t).
r represents the intrinsic growth rate of the fish
population.
K is the fixed carrying capacity of the lake.
represents the rate of change of the fish
d population with respect to time.
P
d
t
rP represents proportional to
population size. A1.
This differential equation models both conditions
in the fish scenario because of the following
reasons:
The fish population is considered a smaller
population when it is small or very small
compared to the carrying capacity (P << K), in
which case the term P/K is close to zero. When the
