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Student p
oster session

Mathematical Modeling


(4:00

5:00) PM
May
7
th
, 2010.

MathEast Lobby, University of Arizona, Tucson


P
resentation

t
itle
s
:


1.

Controlling the Spreading of
Epidemics

2.

Epidemics with Pathogen
Mutation
on Small
-
World Networks

3.

A Cellular Automaton Model for
Traffic Light
Optimization

4.

Shuttle Bus Schedule & Control


5.

Mathematical Model for Tumor
Growth and Treatment

(Poster A)

6.

Mathematical Model for Tumor
Growth and Treatment (Poster B)

7.

Stabilizati
on of A Large Generalized
Lotka
-
Volterra Foodweb

8.

An Agent
-
Based Approach to the
Abrams
-
Strogatz Equation

9.

A Predator
-
Prey Model with
Foraging
-
Predation Risk Trad
e
-
Offs

10.

Competing species
.

11.

Modeling Language Competition

12.

Epidemics with Pathogen Mutation
on Smal
l
-
World Networks

13.

Invisibility and Optical cloaking
.

14.

Stability of inverted pendulum
.

15.

Ground State Calculations of Atoms
using Gaussian Functions

16.

Nanotechnology:

Memristor


new
electronic device
.

17.

Recognition of spectral patterns
.

18.

Rogue waves
.

19.

How insects fly


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Total Ticks
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Percent of Ticks that are Infected
Time(months)
Percent Ticks Infected
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0.0000
0.0005
0.0010
0.0015
0.0020
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Total Ticks
Time(months)
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10
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Percent of Ticks that are Infected
Time(months)
Percent Ticks Infected
0
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1000
0.0000
0.0005
0.0010
0.0015
0.0020
Total Hosts
Time(months)
Hosts/m
2
0
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0
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Percent of Hosts that are Infected
Time(months)
Percent Hosts Infected
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0.1
0.2
0.3
Total Ticks
Time(months)
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0
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0
5
10
15
Percent of Ticks that are Infected
Time(months)
Percent Ticks Infected
0
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0.0000
0.0005
0.0010
0.0015
0.0020
Total Hosts
Time(months)
Hosts/m
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0
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0
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40
Percent of Hosts that are Infected
Time(months)
Percent Hosts Infected
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0
0.1
0.2
0.3
Total Ticks
Time(months)
Ticks/m
2
0
200
400
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800
1000
0
5
10
15
Percent of Ticks that are Infected
Time(months)
Percent Ticks Infected
0
200
400
600
800
1000
0.0000
0.0005
0.0010
0.0015
0.0020
Total Hosts
Time(months)
Hosts/m
2
0
200
400
600
800
1000
0
10
20
30
40
Percent of Hosts that are Infected
Time(months)
Percent Hosts Infected
0
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400
600
800
1000
0
0.1
0.2
0.3
Total Ticks
Time(months)
Ticks/m
2
0
200
400
600
800
1000
0
5
10
15
Percent of Ticks that are Infected
Time(months)
Percent Ticks Infected
0
200
400
600
800
1000
0.0000
0.0005
0.0010
0.0015
0.0020
Total Hosts
Time(months)
Hosts/m
2
0
200
400
600
800
1000
0
10
20
30
40
Percent of Hosts that are Infected
Time(months)
Percent Hosts Infected
0
200
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1000
0
0.1
0.2
0.3
Total Ticks
Time(months)
Ticks/m
2
0
200
400
600
800
1000
0
5
10
15
Percent of Ticks that are Infected
Time(months)
Percent Ticks Infected
0
200
400
600
800
1000
0.0000
0.0005
0.0010
0.0015
0.0020
Total Hosts
Time(months)
Hosts/m
2
0
200
400
600
800
1000
0
10
20
30
40
Percent of Hosts that are Infected
Time(months)
Percent Hosts Infected
0
200
400
600
800
1000
0
0.1
0.2
0.3
Total Ticks
Time(months)
Ticks/m
2
0
200
400
600
800
1000
0
5
10
15
Percent of Ticks that are Infected
Time(months)
Percent Ticks Infected
0
200
400
600
800
1000
0.0000
0.0005
0.0010
0.0015
0.0020
Total Hosts
Time(months)
Hosts/m
2
0
200
400
600
800
1000
0
10
20
30
40
Percent of Hosts that are Infected
Time(months)
Percent Hosts Infected
0
200
400
600
800
1000
0
0.1
0.2
0.3
Total Ticks
Time(months)
Ticks/m
2
0
200
400
600
800
1000
0
5
10
15
Percent of Ticks that are Infected
Time(months)
Percent Ticks Infected
0
200
400
600
800
1000
0.0000
0.0005
0.0010
0.0015
0.0020
Total Hosts
Time(months)
Hosts/m
2
0
200
400
600
800
1000
0
10
20
30
40
Percent of Hosts that are Infected
Time(months)
Percent Hosts Infected
2
4
3
1
Figure 1: The Moran process [4].
2
4
2
4
3
1
3
1
Figure 1: The Moran process [4].