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Logistic vs. Exponential Curve
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Expression 4: "N" Subscript, 0 , Baseline equals 100
N
0
=
1
0
0
negative 10
−
1
0
100
1
0
0
4
Theoretical Population Limit
Theoretical Population Limit
5
Expression 6: "k" equals 1000
k
=
1
0
0
0
negative 10
−
1
0
1000
1
0
0
0
6
Logistic Curve
Logistic Curve
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7
Exponential Curve
Exponential Curve
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12
16
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"N" ( "t" ) equals StartFraction, "N" Subscript, 0 , Baseline "k" Over "N" Subscript, 0 , Baseline plus ( "k" minus "N" Subscript, 0 , Baseline ) "e" Superscript, negative "r" "t" , Baseline , EndFraction
N
(
t
)
=
N
0
k
N
0
+
(
k
−
N
0
)
e
−
r
t
"N" ( "t" ) equals "N" Subscript, 0 , Baseline "e" Superscript, "r" "t" , Baseline
N
(
t
)
=
N
0
e
r
t
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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