Ovide Arino, Arino

Mathematical Population Dynamics

Proceedings of the Second International Conference

• Broschiertes Buch

Produktbeschreibung

This book is an outcome of the Second International Conference on Mathematical Population Dynamics. It is intended for mathematicians, statisticians, biologists, and medical researchers who are interested in recent advances in analyzing changes in populations of genes, cells, and tumors.

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Produktdetails

• Verlag: Routledge
• Seitenzahl: 812
• Erscheinungstermin: 1. April 1991
• Englisch
• Abmessung: 254mm x 178mm x 43mm
• Gewicht: 1496g
• ISBN-13: 9780824784249
• ISBN-10: 0824784243
• Artikelnr.: 22001001

Autorenporträt

Ovide Arino is Professor of Mathematics at the University of Pau, France. The author or coauthor of nearly 50 articles, he is a member of the Society of Mathematical Biology. Dr. Arino received the B.S. (1971) degree from the University of Nice and Doctorate d'Etat (1980) degree from the University of Bordeaux I, both in France. David E. Axelrod is Associate Professor of Biological Sciences at the Waksman Institute, Rutgers University, Piscataway, New Jersey. The author or coauthor of nearly 80 journal articles, book chapters, and abstracts, he is a member of the Cell Kinetics Society, American Society for Cell Biology, American Society for Microbiology, and Genetics Society of America. Dr. Axelrod received the B.S. (1962) degree from the University of Chicago, Illinois, and Ph.D. (1967) degree from the University of Tennessee at Knoxville. Marek Kimmel is Associate Professor of Statistics at Rice University, Houston, Texas. The author or coauthor of over 50 journal articles and book reviews, he is a member of the Cell Kinetics Society, American Mathematical Society, and Institute of Mathematical Statistics. His principal interest is in the mathematics of populations. Dr. Kimmel received the M.S. (1977) and Ph.D. (1980) degrees from Silesian Technical University, Gliwice, Poland.

Inhaltsangabe

Preface
Contributors
Part I Structured Populations
1 Analysis of a Cell Population Model with Unequal Division and Ran
dom Transition /Ovide Arino, Marek Kimmel, and Martin Zerner
2 Slow Oscillations in a Model of Cell Population Dynamics /Ovide Arino and Abdessamad Mortabit
3 Competing Size
Structured Species /J.M. Cushing
4 Quiescence in Structured Population Dynamics: Applications to Tumor Growth /Mats Gyllenberg and Glenn F. Webb
5 Altruistic Population Model with Sex Differences /Ying
Hen Hsieh
6 Remarks on an Epidemic Model with Age Structure /Michel Langlais
7 Effect of Reducibility on the Deterministic Spread of Infection in a Heterogeneous Population /John Radcliffe and Linda Rass
8 Analysis of Age
Structured Population Models with an Additional Structure lli /Horst R. Thieme
9 Mathematical Modeling of Cell Population Dynamics as Applied to the Study of Cellular Aging: A Review and Open Questions /Matthew Witten
10 What Can the Theory of Positive Operators Do for You? /Martin Zerner
Part II Ordinary and Partial Differential Equations Models
11 Population Models with State
Dependent Delays /Jacques Belair
12 Generalized Lyapunov Methods for Interactive Systems in Biology /W. E. Fitzgibbon, J. J. Morgan, and S. J. Waggoner
13 Production, Development, and Maturation of Red Blood Cells: A Mathematical Model /Annette Grabosch and Henk J. A. M. Heijmans
14 The Effect of Rapid Oscillations in the Dynamics of Delay Equations /Jack K. Hale and Sjoerd M. Verduyn Lune
15 Controllability of Nonlinear Systems with Application to Analysis of Population Dynamics /Jerzy Klamka
16 Invariant Manifolds for Partial Functional Differential Equations /Margaret C. Memory
17 Competition in a Modified Gradostat /Hal L. Smith
18 S
Domain Modeling of Neoplastic Cells Circulation in Mice /Andrzej Swierniak, Zdzislaw Duda, and Janusz S. Skierski
19 Generic Modeling of Population Dynamics with S
Systems: Exemplified with