2 edition of **Dynamical systems and population persistence** found in the catalog.

Dynamical systems and population persistence

Hal L. Smith

- 140 Want to read
- 36 Currently reading

Published
**2011**
by American Mathematical Society in Providence, R.I
.

Written in English

**Edition Notes**

Includes bibliographical references and index.

Statement | Hal L. Smith, Horst R. Thieme |

Series | Graduate studies in mathematics -- v. 118 |

Contributions | Thieme, Horst R., 1948- |

Classifications | |
---|---|

LC Classifications | QH323.5 .S58 2011 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL24412148M |

ISBN 10 | 9780821849453 |

LC Control Number | 2010033476 |

OCLC/WorldCa | 658117196 |

He is the author of more than papers, and his research has played an important role in the development of the theory and applications of monotone dynamical systems, periodic and almost periodic semiflows, uniform persistence, and basic reproduction ratios. (source: Nielsen Book Data). Rent or buy Dynamical Systems and Population Persistence -

We obtain sharp conditions distinguishing extinction from persistence and provide sufficient conditions for global stability of a positive fixed point for a class of discrete time dynamical systems on the positive cone of an ordered Banach space generated by a map which is, roughly speaking, a nonlinear, rank one perturbation of a linear by: JOURNAL OF DIFFERENTIAL EQUATI () Persistence in Dynamical Systems GEOFFREY BUTLER* Department of Mathematics, University of Alberta, Edmonton, Alberta T6G 2GI, Canada AND PAUL WALTMAN+ Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia Received Novem ; revised by:

I am looking for a textbook or a good source that could help me with dynamical systems. What I mean is an introductory book for it. For example I have enjoyed Real Mathematical Analysis by C.C. Pugh. I would greatly appreciate if someone could introduce me a book that could put everything about dynamical systems in perspective as good as it has. This is the internet version of Invitation to Dynamical Systems. Unfortunately, the original publisher has let this book go out of print. The version you are now reading is pretty close to the original version (some formatting has changed, so page numbers are unlikely to be the same, and the fonts are diﬀerent).

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The mathematical theory of persistence answers questions such as which species, in a mathematical model of interacting species, will survive over the long term. It applies to infinite-dimensional as well as to finite-dimensional dynamical systems, and to discrete-time as well as to continuous-time by: The mathematical theory of persistence answers questions such as which species, in a mathematical model of interacting species, will survive over the long term.

It applies to infinite-dimensional as well as to finite-dimensional dynamical systems, and to discrete-time as well as to continuous-time semiflows.

Get this from a library. Dynamical systems and population persistence. [Hal L Smith; Horst R Thieme] -- "The mathematical theory of persistence answers questions such as which species, in a mathematical model of interacting species, will survive over the long term. It applies to infinite-dimensional as.

Dynamical Systems and Population Persistence - Ebook written by Hal L. Smith, Horst R. Thieme. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while. The mathematician interested in mathematical biology will find this book useful.

It may be used as a supplementary textbook for graduate topics related to applications Dynamical systems and population persistence book dynamical systems on mathematical biology.

The book includes an impressive list of references.” (George Karakostas, zbMATH)Cited by: Dynamical Systems and Population Persistence Graduate Studies in Mathematics Volume The primary focus of this book is the mathematicaltheory of persistence.

of a component of a dynamical system such as population size or disease prevalence. Dynamical Systems and Population Persistence. Summary: Providing a self-contained treatment of persistence theory that is accessible to graduate students, this monograph includes chapters on infinite-dimensional examples including an SI epidemic model with variable infectivity, microbial growth in a tubular bioreactor, and an age-structured.

In broad terms the persistence function measures how far a species is from the brink of extinction. This book is essentially a monograph written for graduate students in mathematics.

It provides the first self-contained and integrated treatment of dynamical systems. The presentation includes persistence theory, monotone dynamics, periodic and almost periodic semiflows, traveling waves, and global analysis of typical models in population biology.

Research mathematicians working with nonlinear dynamics, particularly those interested in applications to biology, will find this book : Springer-Verlag New York.

Buy Dynamical Systems and Population Persistence by SMITH,THIEME Book Online shopping at low Prices in India. Read Book information, ISBN,Summary,Author:SMITH,THIEME,Edition, Table of Contents, Syllabus, Index, notes,reviews and ratings and more, Also Get Discounts,exclusive offers & deals on books (Paperback & Hardcover) for students and Professionals.

His main research interests involve applied dynamical systems, nonlinear differential equations, and mathematical biology. He is the author of more than papers, and his research has played an important role in the development of the theory and applications of monotone dynamical systems, periodic and almost periodic semiflows, uniform.

The mathematician interested in mathematical biology will find this book useful. It may be used as a supplementary textbook for graduate topics related to applications of dynamical systems on mathematical biology. The book includes an impressive list of references.” (George Karakostas, zbMATH)Brand: Springer International Publishing.

Dynamical Systems and Population Persistence by Hal L. Smith,available at Book Depository with free delivery worldwide. The presentation includes persistence theory, monotone dynamics, periodic and almost periodic semiflows, traveling waves, and global analysis of typical models in population biology.

Research mathematicians working with nonlinear dynamics, particularly those interested in applications to biology, will find this book useful. Linear dynamical systems can be solved in terms of simple functions and the behavior of all orbits classified.

In a linear system the phase space is the N-dimensional Euclidean space, so any point in phase space can be represented by a vector with N numbers. The analysis of linear systems is possible because they satisfy a superposition principle: if u(t) and w(t) satisfy the differential.

Outline 1 Introduction to Persistence Theory 2 Some Dynamical Systems Theory 3 Persistence deﬁnitions 4 Fundamental Results of Persistence Theory 5 Example: Three Species Food Chain H.L. Smith (ASU) Persistence Theory July,Guangzhou, China 2 / Random perturbations may decisively affect the long-term behavior of dynamical systems.

Random effects are modeled by the addition of Gaussian white noise to the system. The resulting diffusion equation is solved asymptotically, when the strength of the noise is Cited by: Dynamical Systems and Population Persistence Hal L. Smith and Horst R.

Thieme Publication Year: ISBN X ISBN Dynamical systems theory is an area of mathematics used to describe the behavior of the complex dynamical systems, usually by employing differential equations or difference differential equations are employed, the theory is called continuous dynamical a physical point of view, continuous dynamical systems is a generalization of classical mechanics, a generalization.

He is the author of more than papers, and his research has played an important role in the development of the theory and applications of monotone dynamical systems, periodic and almost periodic semiflows, uniform persistence, and basic reproduction ratios.

The gratest mathematical book I have ever read happen to be on the topic of discrete dynamical systems and this is A "First Course in Discrete Dynamical Systems" Holmgren.

This books is so easy to read that it feels like very light and extremly interesting novel.Destination page number Search scope Search Text.The book is useful for courses in dynamical systems and chaos, nonlinear dynamics, etc., for advanced undergraduate and postgraduate students in mathematics, physics and engineering.

Discover the.