Compartmental Modeling with Networks
The subject of mathematical modeling has expanded considerably in the past twenty years. This is in part due to the appearance of the text by Kemeny and Snell, "Mathematical Models in the Social Sciences," as well as the one by Maki and Thompson, "Mathematical Models and Applica tion...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Boston, MA
Birkhäuser
1999, 1999
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| Edition: | 1st ed. 1999 |
| Series: | Modeling and Simulation in Science, Engineering and Technology
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 Introduction and Simple Examples
- 2 Digraphs and Graphs: Definitions and Examples
- 3 A Little Simple Graph Theory
- 4 Orientation of Graphs and Related Properties
- 5 Tournaments
- 6 Planar Graphs
- 7 Graphs and Matrices
- 8 Introduction to Markov Chains
- 9 Classification of Markov Chains
- 10 Regular Markov Chains
- 11 Absorbing Markov Chains
- 12 From Markov Chains to Compartmental Models
- 13 Introduction to Compartmental Models
- 14 Models for the Spread of Epidemics
- 15 Three Traditional Examples as Compartmental Models
- 16 Ecosystem Models
- 17 Fisheries Models
- 18 Drug Kinetics
- 19 Basic Properties of Linear Models
- 20 Structure and Dynamical Properties
- 21 Identifiability of a Compartmental System
- 22 Parameter Estimation
- 23 Complexity and Stability
- A Mathematical Prerequisites
- A.1 Matrix Operations
- A.2 Finding Eigenvalues and Eigenvectors
- A.3 Systems of Differential Equations
- A.4 Matrices with Maple