Research Catalog

Title

Growth and diffusion phenomena : mathematical frameworks and applications / Robert B. Banks.

Author

Banks, Robert B.

Publication

Berlin ; New York : Springer-Verlag, [1994], ©1994.

Items in the Library & Off-site

Holdings

Details

Series Statement

Texts in applied mathematics ; 14

Uniform Title

Texts in applied mathematics ; 14.

Subject

• Diffusion processes
• Growth > Mathematical models

Bibliography (note)

• Includes bibliographical references (p. [429]-443) and indexes.

Contents

• 1. Introduction -- 2. Some Basic Frameworks. 2.1. Exponential Function. 2.2. Logistic Distribution. 2.3. Confined Exponential Distribution. 2.4. Combination of the Logistic Distribution and the Confined Exponential Distribution. 2.5. Normal Probability Distribution. 2.6. Power Law Logistic Distribution. 2.7. Logistic Growth with Migration. 2.8. Epidemics and Technology Transfer. 2.9. Some Modifications of the Logistic Distribution -- 3. Some Additional Frameworks. 3.1. Gompertz Distribution. 3.2. Weibull Distribution. 3.3. A Generalized Distribution. 3.4. Hyperlogistic Distribution. 3.5. Various Other Distributions -- 4. Phenomena with Variable Growth Coefficients. 4.1. Linearly Variable Growth Coefficient. 4.2. Hyperbolically Variable Growth Coefficient. 4.3. Exponentially Variable Growth Coefficient. 4.4. Sinusoidally Variable Growth Coefficient -- 5. Phenomena with Variable Carrying Capacities. 5.1. Exponentially Variable Carrying Capacity. 5.2. Logistically Variable Carrying Capacity.
• 5.3. Linearly Variable Carrying Capacity. 5.4. Hyperbolically Variable Carrying Capacity. 5.5. Sinusoidally Variable Carrying Capacity. 5.6. Power Law Logistic with a Power Law Logistically Variable Carrying Capacity -- 6. Phenomena with Time Delays. 6.1. Discrete Time Delay in the Exponential Equation. 6.2. Discrete Time Delay in the Logistic Equation. 6.3. Distributed Time Delay: Delay Integral in the Crowding Term. 6.4. Distributed Time Delay: Delay Integral in a Pollution Term -- 7. Phenomena with Spatial Diffusion. 7.1. Diffusion from Instantaneous Sources. 7.2. Diffusion from Continuous Source. 7.3. Diffusion with Reaction in a Finite Region. 7.4. Diffusion with Convection and Reaction. 7.5. Diffusion with Confined Exponential Growth. 7.6. Diffusion with Logistic Growth -- 8. Conclusion.

ISBN

• 3540555072 (Berlin : acid-free) :
• 0387555072 (New York : acid-free) :

LCCN

93037076

OCLC

• 28964630
• ocm28964630

Owning Institutions

Columbia University Libraries