| 000 -LEADER |
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| fixed length control field |
05869cam a2200445 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
20411983 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
CITU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230216172610.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION |
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| fixed length control field |
m |o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr |n||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
180319s2018 nju ob 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
|---|
| LC control number |
2018013540 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781119483991 (epub) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9781119484028 (pdf) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| Cancelled/invalid ISBN |
9781119483946 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
DLC |
| Language of cataloging |
eng |
| Description conventions |
rda |
| Transcribing agency |
DLC |
| Modifying agency |
DLC |
| 041 ## - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
eng. |
| 042 ## - AUTHENTICATION CODE |
|---|
| Authentication code |
pcc |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
TA342 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
511.8 |
| Edition number |
23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Preferred name for the person |
Moghadas, Seyed M., |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Mathematical modelling : |
| Remainder of title |
a graduate textbook / |
| Statement of responsibility, etc |
by Seyed M. Moghadas, Majid Jaberi-Douraki. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
1st edition. |
| 264 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Hoboken, NJ : |
| Name of publisher, distributor, etc |
John Wiley & Sons, |
| Date of publication, distribution, etc |
2019. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (192 pages). |
| 336 ## - CONTENT TYPE |
|---|
| Source |
rdacontent |
| Content type term |
text |
| Content type code |
txt |
| 337 ## - MEDIA TYPE |
|---|
| Source |
rdamedia |
| Media type term |
computer |
| Media type code |
c |
| 338 ## - CARRIER TYPE |
|---|
| Source |
rdacarrier |
| Carrier type term |
online resource |
| Carrier type code |
cr |
| 500 ## - GENERAL NOTE |
|---|
| General note |
ABOUT THE AUTHOR<br/>Seyed M. Moghadas, PhD, is Associate Professor of Applied Mathematics and Computational Epidemiology, and Director of the Agent-Based Modelling Laboratory at York University in Toronto, Ontario, Canada. Dr. Moghadas is an Associate Editor of Infectious Diseases in the Scientific Reports, Nature Publishing Group.<br/><br/>Majid Jaberi-Douraki, PhD, is Assistant Professor of Biomathematics at Kansas State University, Manhattan, Kansas, USA. His research involves modelling dynamical systems and optimal control theory in a wide range of real-world problems. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - CONTENTS |
|---|
| Formatted contents note |
Preface ix<br/><br/>About the CompanionWebsite xi<br/><br/>1 Basic Concepts and Quick Review 1<br/><br/>1.1 Modelling Types 4<br/><br/>1.2 Quick Review 5<br/><br/>1.2.1 First-order Differential Equations 5<br/><br/>1.2.2 Second-order Differential Equations 7<br/><br/>1.2.3 Linear Algebra 9<br/><br/>1.2.4 Scaling 12<br/><br/>Exercises 14<br/><br/>2 Compartmental Modelling 15<br/><br/>2.1 Cascades of Compartments 18<br/><br/>2.2 Parameter Units 23<br/><br/>Exercises 25<br/><br/>3 Analysis Tools 29<br/><br/>3.1 Stability Analysis 32<br/><br/>3.2 Phase-Plane Behavior 37<br/><br/>3.3 Direction Field 47<br/><br/>3.4 Routh–Hurwitz Criterion 49<br/><br/>Exercises 54<br/><br/>4 Bifurcation 59<br/><br/>4.1 Transcritical Bifurcation 60<br/><br/>4.2 Saddle-Node Bifurcation 61<br/><br/>4.3 Pitchfork Bifurcation 62<br/><br/>4.4 Hopf Bifurcation 64<br/><br/>4.5 Solution Types 69<br/><br/>Exercises 73<br/><br/>5 Discretization and Fixed-Point Analysis 77<br/><br/>5.1 Discretization 78<br/><br/>5.1.1 Euler Method 78<br/><br/>5.1.2 Nonstandard Methods 79<br/><br/>5.2 Fixed-Point Analysis 83<br/><br/>Exercises 88<br/><br/>6 Probability and Random Variables 91<br/><br/>6.1 Basic Concepts 91<br/><br/>6.2 Conditional Probabilities 93<br/><br/>6.3 Random Variables 95<br/><br/>6.3.1 Cumulative Distribution Function 95<br/><br/>6.3.2 Discrete Random Variables 96<br/><br/>6.3.3 Continuous Random Variables 98<br/><br/>6.3.4 Waiting Time 101<br/><br/>Exercises 101<br/><br/>7 Stochastic Modelling 103<br/><br/>7.1 Stochastic Processes 103<br/><br/>7.2 Probability Generating Function 108<br/><br/>7.3 Markov Chains 110<br/><br/>7.4 RandomWalks 118<br/><br/>Exercises 119<br/><br/>8 Computer Simulations 125<br/><br/>8.1 Deterministic Structure 125<br/><br/>8.2 Stochastic Structure 128<br/><br/>8.3 Monte Carlo Methods 136<br/><br/>Exercises 138<br/><br/>9 Examples of Mathematical Modelling 143<br/><br/>9.1 Traffic Model 143<br/><br/>9.2 Michaelis–Menten Kinetics 146<br/><br/>9.3 The Brusselator System 148<br/><br/>9.4 Generalized Richards Model 149<br/><br/>9.5 Spruce Budworm Model 152<br/><br/>9.6 FitzHugh–Nagumo Model 153<br/><br/>9.7 Decay Model 155<br/><br/>9.8 The Gambler’s Ruin 158<br/><br/>Exercises 160<br/><br/>References 165<br/><br/>Index 169 |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
An important resource that provides an overview of mathematical modelling<br/><br/>Mathematical Modelling offers a comprehensive guide to both analytical and computational aspects of mathematical modelling that encompasses a wide range of subjects. The authors provide an overview of the basic concepts of mathematical modelling and review the relevant topics from differential equations and linear algebra. The text explores the various types of mathematical models, and includes a range of examples that help to describe a variety of techniques from dynamical systems theory.<br/><br/>The book’s analytical techniques examine compartmental modelling, stability, bifurcation, discretization, and fixed-point analysis. The theoretical analyses involve systems of ordinary differential equations for deterministic models. The text also contains information on concepts of probability and random variables as the requirements of stochastic processes. In addition, the authors describe algorithms for computer simulation of both deterministic and stochastic models, and review a number of well-known models that illustrate their application in different fields of study. This important resource:<br/><br/>Includes a broad spectrum of models that fall under deterministic and stochastic classes and discusses them in both continuous and discrete forms<br/>Demonstrates the wide spectrum of problems that can be addressed through mathematical modelling based on fundamental tools and techniques in applied mathematics and statistics<br/>Contains an appendix that reveals the overall approach that can be taken to solve exercises in different chapters<br/>Offers many exercises to help better understand the modelling process <br/>Written for graduate students in applied mathematics, instructors, and professionals using mathematical modelling for research and training purposes, Mathematical Modelling: A Graduate Textbook covers a broad range of analytical and computational aspects of mathematical modelling. |
| 526 ## - STUDY PROGRAM INFORMATION NOTE |
|---|
| -- |
500-599 |
| -- |
511 |
| 588 ## - SOURCE OF DESCRIPTION NOTE |
|---|
| Source of description note |
Description based on print version record and CIP data provided by publisher. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematical models |
| Form subdivision |
Textbooks. |
| 655 #4 - INDEX TERM--GENRE/FORM |
|---|
| Genre/form data or focus term |
Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Jaberi-Douraki, Majid, |
| Relator term |
author. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Link text |
Full text available at Wiley Online Library Click here to view |
| Uniform Resource Identifier |
https://onlinelibrary.wiley.com/doi/book/10.1002/9781119483946 |
| 942 ## - ADDED ENTRY ELEMENTS |
|---|
| Source of classification or shelving scheme |
|
| Item type |
EBOOK |