Mathematics in Population Biology / / Horst R. Thieme.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
• VerfasserIn: Thieme, Horst R.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2018]; ©2003
• Year of Publication: 2018
• Language: English
• Series: Princeton Series in Theoretical and Computational Biology ; 12
• Physical Description: 1 online resource

The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathemati...

Table of Contents

• Frontmatter
• Contents
• Preface
• Chapter 1. Some General Remarks on Mathematical Modeling
• PART 1. Basic Population Growth Models
• Chapter 2. Birth, Death, and Migration
• Chapter 3. Unconstrained Population Growth for Single Species
• Chapter 4. Von Bertalanffy Growth of Body Size
• Chapter 5. Classic Models of Density-Dependent Population Growth for Single Species
• Chapter 6. Sigmoid Growth
• Chapter 7. The Allee Effect
• Chapter 8. Nonautonomous Population Growth: Asymptotic Equality of Population Sizes
• Chapter 9. Discrete-Time Single-Species Models
• Chapter 10. Dynamics of an Aquatic Population Interacting with a Polluted Environment
• Chapter 11. Population Growth Under Basic Stage Structure
• PART 2. Stage Transitions and Demographics
• Chapter 12. The Transition Through a Stage
• Chapter 13. Stage Dynamics with Given Input
• Chapter 14. Demographics in an Unlimiting Constant Environment
• Chapter 15. Some Demographic Lessons from Balanced Exponential Growth
• Chapter 16. Some Nonlinear Demographics
• PART 3. Host-Parasite Population Growth: Epidemiology of Infectious Diseases
• Chapter 17. Background
• Chapter 18. The Simplified Kermack-McKendrick Epidemic Model
• Chapter 19. Generalization of the Mass-Action Law of Infection
• Chapter 20. The Kermack-McKendrick Epidemic Model with Variable Infectivity
• Chapter 21. SEIR (→ S) Type Endemic Models for "Childhood Diseases"
• Chapter 22. Age-Structured Models for Endemic Diseases and Optimal Vaccination Strategies
• Chapter 23. Endemic Models with Multiple Groups or Populations
• PART 4. Toolbox
• Appendix A. Ordinary Differential Equations
• Appendix B. Integration, Integral Equations, and Some Convex Analysis
• Appendix C. Some MAPLE Worksheets with Comments for Part 1
• References
• Index