Oscillation and Stability of Delay Models in Biology

ISBN-13: 9783319065564 / Angielski / Twarda / 2014 / 340 str.

Ravi P. Agarwal; Donal O'Regan; Samir H. Saker

Opis

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.

Recenzje

"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)

Spis treści

1. Logistic Models.- 2. Oscillation of Delay Logistic Models.- 3. Stability of Delay Logistic Models.- 4. Logistic Models with Piecewise Arguments.- 5. Food-Limited Population Models.- 6. Logistic Models with Diffusions.