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.
Author(s): Ravi P. Agarwal, Donal O'Regan, Samir H. Saker (auth.)
Edition: 1
Publisher: Springer International Publishing
Year: 2014
Language: English
Pages: 340
Tags: Mathematics, general; Genetics and Population Dynamics; Dynamical Systems and Ergodic Theory
Front Matter....Pages i-x
Logistic Models....Pages 1-7
Oscillation of Delay Logistic Models....Pages 9-77
Stability of Delay Logistic Models....Pages 79-126
Logistic Models with Piecewise Arguments....Pages 127-213
Food-Limited Population Models....Pages 215-291
Logistic Models with Diffusions....Pages 293-334
Back Matter....Pages 335-340
