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Competition models in population biology / Paul Waltman.
- Format:
- Book
- Author/Creator:
- Waltman, Paul E.
- Series:
- CBMS-NSF Regional conference series in applied mathematics ; 45.
- CBMS-NSF regional conference series in applied mathematics ; 45
- CBMS-NSF Regional conference series in applied mathematics ; 45
- Language:
- English
- Subjects (All):
- Competition (Biology)--Mathematical models.
- Competition (Biology).
- Population biology--Mathematical models.
- Population biology.
- Physical Description:
- 1 online resource (v, 77 p. ) ill. ;
- Place of Publication:
- Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 1983.
- Language Note:
- English
- System Details:
- Mode of access: World Wide Web.
- System requirements: Adobe Acrobat Reader.
- Summary:
- This book uses fundamental ideas in dynamical systems to answer questions of a biologic nature, in particular, questions about the behavior of populations given a relatively few hypotheses about the nature of their growth and interaction. The principal subject treated is that of coexistence under certain parameter ranges, while asymptotic methods are used to show competitive exclusion in other parameter ranges. Finally, some problems in genetics are posed and analyzed as problems in nonlinear ordinary differential equations.
- Contents:
- Single population growth models
- Logistic growth
- The simple chemostat
- Interacting populations
- The Lotka-Volterra competition model
- Competition in the chemostat
- A three-level food chain
- Bifurcation from a limit cycle
- Two predators competing for a renewable resource
- Two predators feeding on a prey growing in a chemostat
- Some deterministic problems in genetics
- Predator influence on the growth of a population with three genotype
- A model of cystic fibrosis
- A parental selection problem.
- Notes:
- "These lecture notes are from a series of lectures given at a regional conference at Logan, Utah, in July of 1982"--P. v.
- Includes bibliographical references (p. 75-77).
- Title from title screen, viewed 04/05/2011.
- ISBN:
- 1-61197-025-3
- Publisher Number:
- CB45 SIAM
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