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Delay Differential Equations And Applications


Delay Differential Equations And Applications
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Delay Differential Equations


Delay Differential Equations
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Author : Yang Kuang
language : en
Publisher: Academic Press
Release Date : 1993-03-05

Delay Differential Equations written by Yang Kuang and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-03-05 with Mathematics categories.


Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of populations, and the oscillatory aspects of the dynamics. The book also includes coverage of the interplay of spatial diffusion and time delays in some diffusive delay population models. The treatment presented in this monograph will be of great value in the study of various classes of DDEs and their multidisciplinary applications.



Delay Differential Equations And Applications


Delay Differential Equations And Applications
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Author :
language : en
Publisher:
Release Date : 2006

Delay Differential Equations And Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.




Delay Differential Equations And Applications


Delay Differential Equations And Applications
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Author : O. Arino
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-07

Delay Differential Equations And Applications written by O. Arino and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-07 with Mathematics categories.


This book groups material that was used for the Marrakech 2002 School on Delay Di?erential Equations and Applications. The school was held from September 9-21 2002 at the Semlalia College of Sciences of the Cadi Ayyad University, Marrakech, Morocco. 47 participants and 15 instructors originating from 21 countries attended the school. Fin- cial limitations only allowed support for part of the people from Africa andAsiawhohadexpressedtheirinterestintheschoolandhadhopedto come. Theschoolwassupportedby?nancementsfromNATO-ASI(Nato advanced School), the International Centre of Pure and Applied Mat- matics (CIMPA, Nice, France) and Cadi Ayyad University. The activity of the school consisted in courses, plenary lectures (3) and communi- tions (9), from Monday through Friday, 8. 30 am to 6. 30 pm. Courses were divided into units of 45mn duration, taught by block of two units, with a short 5mn break between two units within a block, and a 25mn break between two blocks. The school was intended for mathematicians willing to acquire some familiarity with delay di?erential equations or enhance their knowledge on this subject. The aim was indeed to extend the basic set of knowledge, including ordinary di?erential equations and semilinearevolutionequations, suchasforexamplethedi?usion-reaction equations arising in morphogenesis or the Belouzov-Zhabotinsky ch- ical reaction, and the classic approach for the resolution of these eq- tions by perturbation, to equations having in addition terms involving past values of the solution.



An Introduction To Delay Differential Equations With Applications To The Life Sciences


An Introduction To Delay Differential Equations With Applications To The Life Sciences
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Author : hal smith
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-09-29

An Introduction To Delay Differential Equations With Applications To The Life Sciences written by hal smith and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-29 with Mathematics categories.


This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly. The author has used preliminary notes in teaching such a course at Arizona State University over the past two years. This book focuses on the key tools necessary to understand the applications literature involving delay equations and to construct and analyze mathematical models involving delay differential equations. The book begins with a survey of mathematical models involving delay equations.



Delay Differential Equations


Delay Differential Equations
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Author : Balakumar Balachandran
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-04-05

Delay Differential Equations written by Balakumar Balachandran and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-04-05 with Technology & Engineering categories.


Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and researchers will benefit from a unique focus on theory, symbolic, and numerical methods, which illustrate how the concepts described can be applied to practical systems ranging from automotive engines to remote control over the Internet. Comprehensive coverage of recent advances, analytical contributions, computational techniques, and illustrative examples of the application of current results drawn from biology, physics, mechanics, and control theory. Students, engineers and researchers from various scientific fields will find Delay Differential Equations: Recent Advances and New Directions a valuable reference.



Delay Differential Equations And Applications To Biology


Delay Differential Equations And Applications To Biology
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Author : Fathalla A. Rihan
language : en
Publisher: Springer Nature
Release Date : 2021-08-19

Delay Differential Equations And Applications To Biology written by Fathalla A. Rihan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-19 with Mathematics categories.


This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fractional-order derivatives to demonstrate their richer mathematical framework compared to differential equations without memory for the analysis of dynamical systems. The book also provides interesting applications of delay differential equations in infectious diseases, including COVID-19. It will be valuable to mathematicians and specialists associated with mathematical biology, mathematical modelling, life sciences, immunology and infectious diseases.



Oscillation Theory Of Delay Differential Equations


Oscillation Theory Of Delay Differential Equations
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Author : I. Győri
language : en
Publisher: Clarendon Press
Release Date : 1991

Oscillation Theory Of Delay Differential Equations written by I. Győri and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.


This monograph presents a self-contained account of the advances in the oscillation theory of this class of equations. The main topics of study are motivated by a range of diverse applications.



Delay Differential Equations And Dynamical Systems


Delay Differential Equations And Dynamical Systems
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Author : Stavros Busenberg
language : en
Publisher: Springer
Release Date : 2006-11-14

Delay Differential Equations And Dynamical Systems written by Stavros Busenberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.


The meeting explored current directions of research in delay differential equations and related dynamical systems and celebrated the contributions of Kenneth Cooke to this field on the occasion of his 65th birthday. The volume contains three survey papers reviewing three areas of current research and seventeen research contributions. The research articles deal with qualitative properties of solutions of delay differential equations and with bifurcation problems for such equations and other dynamical systems. A companion volume in the biomathematics series (LN in Biomathematics, Vol. 22) contains contributions on recent trends in population and mathematical biology.



Applied Delay Differential Equations


Applied Delay Differential Equations
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Author : Thomas Erneux
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-03-06

Applied Delay Differential Equations written by Thomas Erneux and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-06 with Mathematics categories.


Applied Delay Differential Equations is a friendly introduction to the fast-growing field of time-delay differential equations. Written to a multi-disciplinary audience, it sets each area of science in his historical context and then guides the reader towards questions of current interest.



Delay Differential Equations And Applications To Biology


Delay Differential Equations And Applications To Biology
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Author : Fathalla A. Rihan
language : en
Publisher:
Release Date : 2021

Delay Differential Equations And Applications To Biology written by Fathalla A. Rihan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.


This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fractional-order derivatives to demonstrate their richer mathematical framework compared to differential equations without memory for the analysis of dynamical systems. The book also provides interesting applications of delay differential equations in infectious diseases, including COVID-19. It will be valuable to mathematicians and specialists associated with mathematical biology, mathematical modelling, life sciences, immunology and infectious diseases.