chapter egas cdes - university of massachusetts amherst
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Marinette ( e. g."
wicked Tuna" )
PHI - fish populationC in 109 ) at time tcyeans )
-
no fishing DP r P ⇒ f PA ) -- Poe
't
allowed"
It Trothexponentially
\w r > 0
time nate -
of change
fishing
¥f=rPw- Nw N - # of fish
allowed"
groth fishing caught each year
Exe : {d Pldt
= IP - to
P ( o ) = 100 ( Plo ) = 20,
Pco) = so )
anti Iff -
- IP - to ⇒
lpftl-5otcets.TT#oyseparationof variables
C ? 100 = Plo) = 50 t C
e¥°=5OtC⇒c=5o_120-- P "
'IIe" "
pAi=5ot50eftp.?Ioc.e#so+cC--0
Piano
%¥Id¥hEP - " Ho
PHI -_ 50+50t . =¥ - 100-10=1030
equilibrium50mg
"
fso→oe±tao¥¥¥!¥¥o'
IsooEt}÷¥oE¥" "
--
50I
Equilibrium Sdn
Ex I.
In the graphs is shown the
temperature It (E) of 4 eggs
as a function of time tannate )
I
II
I
The Logistic Model-
function )
121 : L, GK > O PH ) = ¥e-kt
PfL - carrying capacity L -
.. . .
. . .. . . . . . . . . . . . . . .
. . . . .
1¥k - air:¥17711 42 )o.ci#i4a
)a
( -value to satisfy Rohlf po -
99 a-t
K
Point of Diminishing
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