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This book deals with a fundamental question in the analysis of the effects of delays, namely whether they affect the stability of steady states.
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Descrizione del libro
In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for delays such as those due to gestation, maturation or transport. This book deals with a fundamental question in the analysis of the effects of delays, namely whether they affect the stability of steady states.
Contenuti
Preface; 1. How delays arise and what effects they have; 2. Ordinary differential equations: the polynomial characteristic equation; 3. Functional differential equations: the transcendental characteristic equation; 4. Hurwitz polynomials; 5. First- and second-order systems with a discrete delay; 6. Higher-order systems, and systems with two delays; 7. Reducing a discrete delay problem to one with a polynomial characteristic equation; 8. Stability independent of delay; 9. Distributed delay; 10. Reducible delays and linear subsystems; Appendices; Solutions to exercises; References; Index.
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Biological delay systems. linear stability theory.
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Cambridge, Cambridge Univ. Press., 1989
ISBN 10: 0521048168
ISBN 13: 9780521048163
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235 s. ill. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Cambridge studies in mathematical biology, 8. Sprache: Englisch. Codice articolo 4964MB
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Biological Delay Systems: Linear Stability Theory
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Biological Delay Systems: Linear Stability Theory (Cambridge Studies in Mathematical Biology, Series Number 9)
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Biological Delay Systems: Linear Stability Theory
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Cambridge University Press, 2008
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ISBN 13: 9780521048163
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Biological Delay Systems: Linear Stability Theory (Cambridge Studies in Mathematical Biology, Series Number 9)
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Biological Delay Systems
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. In studying the dynamics of populations, whether of animals, plants or cells, it is crucial to allow for delays such as those due to gestation, maturation or transport. This book deals with a fundamental question in the analysis of the effects of delays, na. Codice articolo 446923208
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Biological Delay Systems: Linear Stability Theory (Paperback)
Editore:
Cambridge University Press, Cambridge, 2008
ISBN 10: 0521048168
ISBN 13: 9780521048163
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Paperback. Condizione: new. Paperback. 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. 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. Codice articolo 9780521048163
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Biological Delay Systems: Linear Stability Theory (Paperback)
Editore:
Cambridge University Press, Cambridge, 2008
ISBN 10: 0521048168
ISBN 13: 9780521048163
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Paperback. Condizione: new. Paperback. 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. 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. Codice articolo 9780521048163
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Biological Delay Systems
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Cambridge University Press CUP, 2008
ISBN 10: 0521048168
ISBN 13: 9780521048163
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Biological Delay Systems: Linear Stability Theory (Cambridge Studies in Mathematical Biology, Series Number 9)
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