TEAM MEMBERS
• AbdulAziz Al-Zahrani ME
• Redha Al-Shmmry ME
• Ahmed Ateen ME
• Atif Al-Zahrani ME
• Ameen Bin-Obadi EE
• AbdulLatif Al-Mutairi ME
• Mohammad Al-Ghamdi ME
INTRODUCTION & EPILOGUE :
AbdulLatif Al-Mutairi
PHYSICAL EXPLANIATION :
Ahmed Ateen
THE PROBLEM EXPLANIATION :
Mohammad Al-Ghamdi
SOLVING THE PROBLEM :
Atif Al-Zahrani & Ameen Bin-Obadi
CREATION THE SLIDES :
Redha Al-Shmmry & AbdulAziz Al-Zahrani
THE QUESTION
dt
dD
dt
dB
dt
dP
p(t)dt
dD
p(t)
dt
dB
pkdt
dB1 pk
dt
dD2
21 kk 21 kk 21 kk
Population Model In one model of the changing population of a community, it is assumed that
Where and are the birth and death rates, respectively.
a) Solve for if and .
b) Analyze the cases , ,and .
c) Use the statistics of Saudi Arabia given in class and Matlab to plot P(t) from 1990 -2020 and predict the population of Saudi Arabia in 2020.
THE SOLUTIONa)
mt
c
tkkC
ep(t)mkk
)t-k e(kp(t) e
p(t) at t
eetP
c)tk(kp
dtkkp
dP
dtkkPdp
pkpkdt
dD
dt
dB
dt
dP
16700 if
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16700at which19900have weIf
)(
ln
)(
)(
21
21
)(
121
21
21
21
1
211
b)
negative. is m where,167000 if
ith time.constant w 16700 if
with timeincreasing iswhich e 16700 P(t)
positive is If
21
21
tm
21
mt
etpmkk
tpkk
m kk
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6040167002350000012
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23500000 2002at
thatknew weclassin shown statistics theFrom
13
12
avg
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m
m
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.mep
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tp
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