Compartmental Modeling with Networks
Published in December 1998
Book
Hardback
268 pages
978-3-7643-4019-3 (ISBN)
Description
This reference presents compartmental models or flow models, from an applications perspective. Key applications discussed include: ecosystem models; fluid transfer; competition models; tracer kinetic experiments; and network flows. All topics are presented in an accessible and integrated style.
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Gilbert G. Walter | Martha Contreras
Compartmental Modeling with Networks
Book
09/1999
Birkhauser Boston Inc
€160.49
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Content
Introducation and simple examples. Part 1 Structure of models - directed graphs: diagraphs and graphs; a little simple graph theory; orientation of graphs and diagraphs; tournaments; planer graphs; graphs and matrices. Part 2 Diagraphs and probabilities - Markov chains: introduction to Markov chains; classification of Markov chains; regular Markov chains; absorbing Maarkov chains; from Markov chains to compartmental models. Part 3 Compartmental models - applications: introduction to compartmental models; models for the spread of epidemics; three traditional examples of compartmental models; ecosystem models; fisheries models; drug kinetics. Part 4 Compartmental model theory: basic properties of linear models; structure and dynamical properties; identifiability of a compartmental system; parameter estimation; complexity and stability.