Doanh Nguyen-Ngoc Gioi-thieu a IBM

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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OUTLINE

2

INTRODUCTION TO A/IBMs

EXAMPLE


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INTRODUCTION TO A/IBMS


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IBMS

4

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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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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EXAMPLE


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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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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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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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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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Documents

Doanh Nguyen-Ngoc Gioi-thieu a IBM