Compartmental Modeling with Networks - Brossura

Walter, Gilbert G G; Contreras, Martha

Brossura

ISBN 10: 1461272076 ISBN 13: 9781461272076

Casa editrice: Birkhäuser, 2012

Riassunto

This new advanced text/reference book presents compartmental models or flow models from an applications perspective. Essential topics and methods are introduced in an accessible style with many examples, providing a thorough and comprehensive presentation of compartmental models, model construction and applications.

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Contenuti

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.

Dettagli dell'edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1461272076
• ISBN 13: 9781461272076
• Rilegatura: Copertina flessibile
• Numero di pagine: 272
• Contatto del produttore: GPSR Kontakt; ProductSafety@springernature.com; ; Tiergartenstr. 17; Heidelberg; 69121; Germania