Synopsis
This book deals with a fundamental question in the analysis of the effects of delays, namely whether they affect the stability of steady states.
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.
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Biological Delay Systems
Edité par
Cambridge University Press, 1989
ISBN 10 : 0521340845
ISBN 13 : 9780521340847
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Biological Delay Systems: Linear Stability Theory (Cambridge Studies in Mathematical Biology, Series Number 9)
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Cambridge University Press, 1989
ISBN 10 : 0521340845
ISBN 13 : 9780521340847
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Biological Delay Systems: Linear Stability Theory (Cambridge Studies in Mathematical Biology, Series Number 9)
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Cambridge University Press, 1989
ISBN 10 : 0521340845
ISBN 13 : 9780521340847
Neuf
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Biological Delay Systems: Linear Stability Theory (Cambridge Studies in Mathematical Biology, Series Number 9)
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Cambridge University Press, 1989
ISBN 10 : 0521340845
ISBN 13 : 9780521340847
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Biological Delay Systems: Linear Stability Theory
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Cambridge Univ Pr, 1989
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ISBN 13 : 9780521340847
Neuf
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Biological Delay Systems (Hardcover)
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Cambridge University Press, Cambridge, 2003
ISBN 10 : 0521340845
ISBN 13 : 9780521340847
Neuf
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Hardcover. Etat : new. Hardcover. 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. Much of the material is based on recent research and appears here for the first time in book form. Yet the work not only is a synthesis of this research but also an exposition suited for courses; exercises are provided at the end of each chapter. Thus it will be appreciated by graduate students and research workers in mathematical biology, control theory and population dynamics. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521340847
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Biological Delay Systems: Linear Stability Theory
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Cambridge University Press, 1989
ISBN 10 : 0521340845
ISBN 13 : 9780521340847
Neuf
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Biological Delay Systems (Hardcover)
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ISBN 10 : 0521340845
ISBN 13 : 9780521340847
Neuf
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Hardcover. Etat : new. Hardcover. 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. Much of the material is based on recent research and appears here for the first time in book form. Yet the work not only is a synthesis of this research but also an exposition suited for courses; exercises are provided at the end of each chapter. Thus it will be appreciated by graduate students and research workers in mathematical biology, control theory and population dynamics. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9780521340847
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Biological Delay Systems
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ISBN 13 : 9780521340847
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Biological Delay Systems (Hardcover)
Edité par
Cambridge University Press, Cambridge, 2003
ISBN 10 : 0521340845
ISBN 13 : 9780521340847
Neuf
Couverture rigide
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Hardcover. Etat : new. Hardcover. 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. Much of the material is based on recent research and appears here for the first time in book form. Yet the work not only is a synthesis of this research but also an exposition suited for courses; exercises are provided at the end of each chapter. Thus it will be appreciated by graduate students and research workers in mathematical biology, control theory and population dynamics. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780521340847
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