doanh nguyen-ngoc gioi-thieu a ibm
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7/23/2019 Doanh Nguyen-Ngoc Gioi-thieu a IBM
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Nguy!n Ng"c Doanh
Nh#p mn Ton-Tin 9/10/2012
Dr Doanh Nguyen-Ngoc
Doanh Nguyen-NgocSchool of Applied Mathematics and Informatics
Hanoi University of Science and Technology
A
gent/
I
ndividual-B
ased M
odeling
Target system Computer modelSimulation
represents executes
.
.
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7/23/2019 Doanh Nguyen-Ngoc Gioi-thieu a IBM
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Nguy!n Ng"c Doanh
Nh#p mn Ton-Tin 9/10/2012
OUTLINE
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INTRODUCTION TO A/IBMs
EXAMPLE
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Nguy!n Ng"c Doanh
Nh#p mn Ton-Tin 9/10/2012
INTRODUCTION TO A/IBMS
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Nguy!n Ng"c Doanh
Nh#p mn Ton-Tin 9/10/2012
IBMS
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A/IBMs are a style of computational models in which individuals and
their interaction with each other and their environment are explicitlyrepresented in a program.
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Nguy!n Ng"c Doanh
Nh#p mn Ton-Tin 9/10/20125 Environment
Organization
Time
Metrics
Actions
Communication
Control
Interactions
Dynamics
Perception
SIMPLE VIEW OF IBMS
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Nguy!n Ng"c Doanh
Nh#p mn Ton-Tin 9/10/2012
EXAMPLE
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Nguy!n Ng"c Doanh
Nh#p mn Ton-Tin 9/10/2012
EXAMPLE: 1/3
Example of the sheep population in Australia [Murray, 1989]
How to predict the
number of sheep?
How to understand the
causes behind this
dynamics?
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Doanh Nguyen-Ngoc
Introduction to A/IBMs
EXAMPLE: 2/3
Logistic model [Verhulst (1838)]
Compartment:
N(t)- population size of the species
at time t.
Parameters in the equations:: growth rate of the species.
: carrying capacity of the species.
Analysis:
There are two equilibria:0 : unstable
K : stable
E uation-based models
r
K
dN
dt=rN 1! N
K"#$
%&'
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Doanh Nguyen-Ngoc
Introduction to A/IBMs
EXAMPLE: 3/3
Environment:- Grid,
- food dynamics
- Size 100 x 100
Individuals:
- move,
- perception to see food
and other individuals,
- eat,- reproduce,
- and compete.
Individual-based models
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Introduction to A/IBMs
COMPARISON
EBMs A/IBMs
Description of the dynamics
Analysis/Proof
No environment
No individuals
Emergence of the dynamics
Simulation/No proof
Explicit environment
Explicit individuals with
behaviors and attributes ...
Differences
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