Oscillation and Stability of Delay Models in Biology [electronic resource] / by Ravi P. Agarwal, Donal O'Regan, Samir H. Saker.

By: Agarwal, Ravi P [author.]
Contributor(s): O'Regan, Donal [author.] | Saker, Samir H [author.] | SpringerLink (Online service)
Material type: TextTextPublisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: X, 340 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319065571Subject(s): Mathematics | Dynamics | Ergodic theory | Biomathematics | Mathematics | Genetics and Population Dynamics | Dynamical Systems and Ergodic TheoryAdditional physical formats: Printed edition:: No titleDDC classification: 576.58 | 577.88 LOC classification: QH323.5QH455Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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.
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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.

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.

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