Articles liés à Biological Delay Systems: Linear Stability Theory

Biological Delay Systems: Linear Stability Theory - Couverture rigide

MacDonald, N.

 
9780521340847: Biological Delay Systems: Linear Stability Theory
Couverture rigide
ISBN 10 : 0521340845 ISBN 13 : 9780521340847
Editeur : Cambridge University Press, 1989

Synopsis

In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for intrinsic delays, due to such things as gestation, maturation or transport. This book is concerned with one of the fundamental questions in the analysis of the effect of delays, namely determining whether they effect the stability of steady states. The analysis is presented for one or two such delays treated both as discrete, where an event which occurred at a precise time in the past has an effect now, and distributed, where the delay is averaged over the population's history. Both of these types occur in biological contexts. The method used to tackle these questions is linear stability analysis which leads to an understanding of the local stability. By avoiding global questions, the author has kept the mathematical prerequisites to a minimum, essentially advanced calculus and ordinary differential equations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for intrinsic delays, due to such things as gestation, maturation or transport. This book is concerned with one of the fundamental questions in the analysis of the effect of delays, namely determining whether they effect the stability of steady states. The analysis is presented for one or two such delays treated both as discrete, where an event which occurred at a precise time in the past has an effect now, and distributed, where the delay is averaged over the population's history. Both of these types occur in biological contexts. The method used to tackle these questions is linear stability analysis which leads to an understanding of the local stability. By avoiding global questions, the author has kept the mathematical prerequisites to a minimum, essentially advanced calculus and ordinary differential equations.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
1989
Langue
anglais
ISBN 10 
0521340845
ISBN 13 
9780521340847
Reliure
Relié
Nombre de pages
248
Éditeur
Cannings C., Hoppensteadt Frank C., Segel Lee A.
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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