| Description |
1 online resource (x, 340 pages) |
| Contents |
880-01 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 |
|
880-01/(S Machine generated contents note: 1. Logistic Models -- 1.1. Logistic Models -- 1.2. Extended Logistic Models -- 1.3. Delay Logistic Models -- 1.4. Some Results from Analysis -- 2. Oscillation of Delay Logistic Models -- 2.1. Models of Hutchinson Type -- 2.2. Models with Delayed Feedback -- 2.3. α-Delay Models -- 2.4. α-Models with Several Delays -- 2.5. Models with Harvesting -- 2.6. Models with Nonlinear Delays -- 2.7. Hyperlogistic Models -- 2.8. Models with a Varying Capacity -- 3. Stability of Delay Logistic Models -- 3.1. Autonomous Models of Hutchinson Type -- 3.1.1. Local Stability -- 3.1.2. 3/2-Global Stability -- 3.1.3. Global Exponential Stability -- 3.2. Nonautonomous Hutchinson Model -- 3.2.1. 3/2---Uniform Stability -- 3.2.2. 3/2-Global Stability -- 3.2.3. Global Exponential Stability -- 3.3. Generalized Logistic Model -- 3.4. Models with Impulses -- 4. Logistic Models with Piecewise Arguments -- 4.1. Oscillation of Autonomous Models -- 4.2. Stability of Autonomous Models -- 4.3. Stability of Nonautonomous Models -- 4.4. Global Stability of Models of Volterra Type -- 5. Food-Limited Population Models -- 5.1. Oscillation of Delay Models -- 5.2. Oscillation of Impulsive Delay Models -- 5.3. 3/2-Global Stability -- 5.4. 3/2-Uniform Stability -- 5.5. Models with Periodic Coefficients -- 5.6. Global Stability of Models with Impulses -- 5.7. Global Stability of Generalized Models -- 5.8. Existence of Periodic Solutions -- 6. Logistic Models with Diffusions -- 6.1. Introduction -- 6.2. Oscillation of the Malthus Equation -- 6.2.1. Oscillation of the Neumann Problem -- 6.2.2. Oscillation of the Dirichlet Problem -- 6.2.3. Oscillation of the Rodin Problem -- 6.3. Oscillation of an Autonomous Logistic Model -- 6.4. Oscillation of a Nonautonomous Logistic Model -- 6.5. Stability of an Autonomous Logistic Model -- 6.6. Global Stability of a Volterra-Type Model |
| Summary |
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 |
| Analysis |
wiskunde |
|
mathematics |
|
populatiegenetica |
|
population genetics |
|
populatiedynamica |
|
population dynamics |
|
Mathematics (General) |
|
Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Online resource; title from PDF title page (SpringerLink, viewed June 12, 2014) |
| Subject |
Mathematical statistics.
|
|
Biometry.
|
|
Biometry
|
|
biometrics.
|
|
MATHEMATICS -- Applied.
|
|
MATHEMATICS -- Probability & Statistics -- General.
|
|
Biometry
|
|
Mathematical statistics
|
| Form |
Electronic book
|
| Author |
O'Regan, Donal, author.
|
|
Saker, Samir H., author
|
| ISBN |
9783319065571 |
|
3319065572 |
|
3319065564 |
|
9783319065564 |
|
