James H. Matis, Thomas R. Kiffe

Stochastic Population Models (eBook, PDF)

A Compartmental Perspective

• Format: PDF

Produktbeschreibung

The book focuses on stochastic modeling of population processes. The book presents new symbolic mathematical software to develop practical methodological tools for stochastic population modeling. The book assumes calculus and some knowledge of mathematical modeling, including the use of differential equations and matrix algebra.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 202
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461212447
• Artikelnr.: 43986721

Inhaltsangabe

I Introduction.- 1. Overview of Models.- 2. Some Applications.- II Models for a Single Population.- 3. Basic Methodology for Single Population Stochastic Models.- 4. Linear Immigration-Death Models.- 5. Linear Birth-Immigration-Death Models.- 6. Nonlinear Birth-Death Models.- III Models for Multiple Populations.- 7. Nonlinear Birth-Immigration-Death Models.- 8. Standard Multiple Compartment Analysis.- 9. Basic Methodology for Multiple Population Stochastic Models.- 10. Linear Death-Migration Models.- 11. Linear Immigration-Death-Migration Models.- 12. Linear Birth-Immigration-Death-Migration Models.- 13. Nonlinear Birth-Death-Migration Models.- 14. Nonlinear Host-Parasite Models.- References.

Rezensionen

"Models are illustrated with numerous practical applications. ... The reviewer enjoyed reading this book which will be immensely useful to mathematicians and statisticians interested in biological modelling. Due to the attractive topics as well as the informal and vivid style often used in the presentation and description of the challenging biological problems, they will find this book absorbing and will benefit a lot from it. It is a valuable addition to the existing line of books on stochastic population models." (P.R.Parthasarathy, zbMATH 0943.92029, 2022)