Database Reference
In-Depth Information
MATURING
=
MNSF * NYMPHS*(1
IC)/TN
{
Individuals per Day
}
INFECTION RATE
=
MNSF*IC*NYMPHS/TN
NYMPHS D(t)
=
NYMPHS D(t
dt)
+
(BIRTHING D
DYING D
MATURING D) * dt
INIT NYMPHS D
=
0
{
Individuals
}
INFLOWS:
BIRTHING D
=
D LAY RATE * ADULTS D
{
Individuals per Day
}
OUTFLOWS:
DYING D
=
(1
MNSF D)*NYMPHS D/DT
MATURING D
=
MNSF D * NYMPHS D/TN D
D LAY RATE
=
.35
{
Experimental laying fraction. Eggs per Adult per Day
}
EASF
=
.8
EASF D
=
.65
{
Experimental daily adult survival fraction per stage,
dimensionless.
}
ENSF
=
.7
{
Experimental egg survival fraction, dimensionless, per stage. Stage
=
1/F1, i.e., 70 eggs per 100 eggs survive each 1/F1 days, as noted in the
experiment.
}
ENSF D
=
.5
{
Experimental egg survival fraction, dimensionless, per stage.
Stage
1/F1, i.e., 70 eggs per 100 eggs survive each 1/F1 days, as noted in the
experiment.
=
}
IC
.3*NYMPHS*NYMPHS D)
DOCUMENT: INFECTION COEFFICIENT
=
1
EXP(
LAY RATE
=
.6
{
Experimental laying fraction. Eggs per Adult per Day
}
MNSF
=
EXP(LOGN(ENSF)/TN*DT)
MNSF D
=
EXP(LOGN(ENSF D)/TN D*DT)
TA
=
1
TA D
=
1
TN
=
5
TN D
=
5
3.4 Questions and Tasks
1. Suppose we are uncertain about the exact egg experimental fraction in the model
of Section 3.2. We may suspect that using literature data is not good enough, and
think that this number is within
10%. We can conduct an experiment to find
this number if the total number of adults in 24 days is within
±
10%.
2. Insert a larval stage into the model of Section 3.2 with a larval survival fraction
of 0.8 in 3 days maturation time. Why does the stock of adults in this model fail
to grow as is did in the previous version?
3. (a) For the model in Section 3.2, change the egg-laying rate from 0.5 to 0.45 and
find the new optimal egg-laying rate.
±
 
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