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Oscillation and Stability of Delay Models in Biology

  • Book
  • © 2014

Overview

Authors:
  1. Ravi P. Agarwal

    1. Department of Mathematics, Texas A&M University-Kingsville, Kingsville, USA

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  2. Donal O'Regan

    1. Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

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  3. Samir H. Saker

    1. Department of Mathematics, Mansoura University, Mansoura, Egypt

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  • Presents recent research results on delay models in biology

  • Examines mathematical models for dynamics including the distribution and consumption of food

  • Analyzes a spectrum of autonomous and non-autonomous models

  • Includes supplementary material: sn.pub/extras

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Logistic Models

    • Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
    Pages 1-7

  3. Oscillation of Delay Logistic Models

    • Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
    Pages 9-77

  4. Stability of Delay Logistic Models

    • Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
    Pages 79-126

  5. Logistic Models with Piecewise Arguments

    • Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
    Pages 127-213

  6. Food-Limited Population Models

    • Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
    Pages 215-291

  7. Logistic Models with Diffusions

    • Ravi P. Agarwal, Donal O’Regan, Samir H. Saker
    Pages 293-334

  8. Back Matter

    Pages 335-340
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Keywords

About this book

Environmental variation plays an important role in many biological and ecological dynamical systems. This monograph focuses on the study of oscillation and the stability of delay models occurring in biology. The book presents recent research results on the qualitative behavior of mathematical models under different physical and environmental conditions, covering dynamics including the distribution and consumption of food. Researchers in the fields of mathematical modeling, mathematical biology, and population dynamics will be particularly interested in this material.

Reviews

“The text under review collects under a single cover a number of important theoretical results on delay differential equations, both ordinary and partial; these results can be applied for the analysis of relevant mathematical models of population dynamics. … This text is a valuable resource for researchers and graduate students in mathematics who study stability properties and oscillation of solutions for various classes of delay differential equations; it contains many useful mathematical results and a rich list of references.” (Svitlana P. Rogovchenko, Mathematical Reviews, February, 2016)

“This book concerns the behaviour of a particular class of delay differential equations … . The book should be of interest to those interested in proving results about the behaviour of delay differential equations.” (Carlo Laing, zbMATH 1312.37001, 2015)

Authors and Affiliations

  • Department of Mathematics, Texas A&M University-Kingsville, Kingsville, USA

    Ravi P. Agarwal

  • Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

    Donal O'Regan

  • Department of Mathematics, Mansoura University, Mansoura, Egypt

    Samir H. Saker

Bibliographic Information

  • Book Title: Oscillation and Stability of Delay Models in Biology

  • Authors: Ravi P. Agarwal, Donal O'Regan, Samir H. Saker

  • DOI: https://doi.org/10.1007/978-3-319-06557-1

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-06556-4Published: 20 June 2014

  • Softcover ISBN: 978-3-319-38139-8Published: 17 September 2016

  • eBook ISBN: 978-3-319-06557-1Published: 07 June 2014

  • Edition Number: 1

  • Number of Pages: X, 340

  • Topics: Genetics and Population Dynamics, Dynamical Systems and Ergodic Theory

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