Overview

Full Product Details

Author:   James H. Matis ,  Thomas R. Kiffe
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2000
Volume:   145
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.690kg
ISBN:  

9780387986579

ISBN 10:   038798657
Pages:   202
Publication Date:   15 June 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

I Introduction.- 1. Overview of Models.- 1.1 Modeling Objectives.- 1.2 Structure of Monograph.- 2. Some Applications.- 2.1 Introduction.- 2.2 Application to Invasion of Africanized Honey Bee.- 2.3 Application to Muskrat Spread in the Netherlands.- 2.4 Application to Bioaccumulation of Mercury in Fish.- 2.5 Application to Human Calcium Kinetics.- II Models for a Single Population.- 3. Basic Methodology for Single Population Stochastic Models.- 3.1 Introduction.- 3.2 Basic Assumptions.- 3.3 Moments and Cumulants.- 3.4 Kolmogorov Differential Equations.- 3.5 Generating Functions.- 3.6 Partial Differential Equations for Generating Functions.- 3.7 General Approach to Single Population Growth Models.- 4. Linear Immigration-Death Models.- 4.1 Introduction.- 4.2 Deterministic Model.- 4.3 Probability Distributions for the Stochastic Model.- 4.4 Generating Functions.- 4.5 Cumulant Functions.- 4.6 Some Properties of the Stochastic Solution.- 4.7 Illustrations.- 5. Linear Birth-Immigration-Death Models.- 5.1 Introduction.- 5.2 Deterministic Model.- 5.3 Probability Distribution for the Stochastic Model.- 5.4 Generating Functions.- 5.5 Cumulant Functions.- 5.6 Some Properties of the Stochastic Solution.- 5.7 Illustrations.- 6. Nonlinear Birth-Death Models.- 6.1 Introduction.- 6.2 Deterministic Model.- 6.3 Probability Distributions for the Stochastic Model.- 6.4 Generating Functions.- 6.5 Cumulant Functions.- 6.6 Some Properties of the Stochastic Solution.- 6.7 Illustrations.- 6.8 Appendices.- III Models for Multiple Populations.- 7. Nonlinear Birth-Immigration-Death Models.- 7.1 Introduction.- 7.2 Deterministic Model.- 7.3 Probability Distribution for the Stochastic Model.- 7.4 Generating Functions.- 7.5 Cumulant Functions.- 7.6 Some Properties of the Stochastic Solution.- 7.7 Illustrations.- 7.8 Appendices.- 8. Standard Multiple Compartment Analysis.- 8.1 Introduction.- 8.2 Deterministic Model Formulation and Solution.- 8.3 Illustrations.- 9. Basic Methodology for Multiple Population Stochastic Models.- 9.1 Introduction.- 9.2 Basic Assumptions.- 9.3 Joint Moments and Cumulants.- 9.4 Kolmogorov Differential Equations.- 9.5 Bivariate Generating Functions.- 9.6 Partial Differential Equations for Generating Functions.- 9.7 General Approach to Multiple Population Growth Models.- 10. Linear Death-Migration Models.- 10.1 Introduction.- 10.2 General Formulation of the Stochastic Model.- 10.3 Direct Solution for Stochastic Migration-Death Model.- 10.4 Mean Residence Times.- 10.5 Appendix.- 11. Linear Immigration-Death-Migration Models.- 11.1 Introduction.- 11.2 Generating Functions for the Stochastic Model.- 11.3 Probability Distribution.- 11.4 Cumulant Functions.- 12. Linear Birth-Immigration-Death-Migration Models.- 12.1 Introduction.- 12.2 Equations for Cumulant Functions.- 12.3 Application to Dispersal of African Bees-Basic Model.- 12.4 Application to Muskrat Spread Data.- 12.5 Appendix.- 13. Nonlinear Birth-Death-Migration Models.- 13.1 Introduction.- 13.2 Probability Distribution for the Stochastic Model.- 13.3 Cumulant Functions.- 14. Nonlinear Host-Parasite Models.- 14.1 Introduction.- 14.2 Proposed Host-Parasite Model.- 14.3 Conclusions and Future Research Directions.- 14.4 Appendix.- References.

Reviews

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)

“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)

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions