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An Introduction to Delay Differential Equations with Applications to the Life Sciences

2010-09-29 Mathematics
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Release : 2010-09-29
Genre : Mathematics
Kind : eBook
Book Rating : 469/5 ( reviews)

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Book Synopsis An Introduction to Delay Differential Equations with Applications to the Life Sciences by : hal smith

Download or read book An Introduction to Delay Differential Equations with Applications to the Life Sciences written by hal smith. This book was released on 2010-09-29. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applied Delay Differential Equations

2009-03-06 Mathematics
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Release : 2009-03-06
Genre : Mathematics
Kind : eBook
Book Rating : 723/5 ( reviews)

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Book Synopsis Applied Delay Differential Equations by : Thomas Erneux

Download or read book Applied Delay Differential Equations written by Thomas Erneux. This book was released on 2009-03-06. Available in PDF, EPUB and Kindle. Book excerpt: 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

2021-08-19 Mathematics
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Release : 2021-08-19
Genre : Mathematics
Kind : eBook
Book Rating : 269/5 ( reviews)

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Book Synopsis Delay Differential Equations and Applications to Biology by : Fathalla A. Rihan

Download or read book Delay Differential Equations and Applications to Biology written by Fathalla A. Rihan. This book was released on 2021-08-19. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Delay Differential Equations

2009-04-05 Technology & Engineering
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Release : 2009-04-05
Genre : Technology & Engineering
Kind : eBook
Book Rating : 955/5 ( reviews)

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Book Synopsis Delay Differential Equations by : Balakumar Balachandran

Download or read book Delay Differential Equations written by Balakumar Balachandran. This book was released on 2009-04-05. Available in PDF, EPUB and Kindle. Book excerpt: 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

1993-03-05 Mathematics
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Release : 1993-03-05
Genre : Mathematics
Kind : eBook
Book Rating : 022/5 ( reviews)

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Book Synopsis Delay Differential Equations by : Yang Kuang

Download or read book Delay Differential Equations written by Yang Kuang. This book was released on 1993-03-05. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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