Skip to content
Cart 
Register Sign in Wishlist

The Theory of the Chemostat
Dynamics of Microbial Competition

AUD$103.95 inc GST

Part of Cambridge Studies in Mathematical Biology

  • Date Published: June 2008
  • availability: Available
  • format: Paperback
  • isbn: 9780521067348

AUD$ 103.95 inc GST
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback, eBook


Looking for an inspection copy?

Please email academicmarketing@cambridge.edu.au to enquire about an inspection copy of this book

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • The chemostat is a basic piece of laboratory apparatus, yet it has occupied an increasingly central role in ecological studies. The ecological environment created by a chemostat is one of the few completely controlled experimental systems for testing microbial growth and competition. As a tool in biotechnology, the chemostat plays an important role in bioprocessing. This book presents the theory of the chemostat as a model for larger ecological problems such as food chains, competition along a gradient, competition in the presence of an inhibitor, and the effects of time varying inputs. Models which take account of size structure, variable yields, and diffusion are also considered. The basic phenomena are modelled and analysed using the dynamical systems approach. Directions for research and open problems are discussed. Six appendices provide an elementary description of the necessary mathematical tools. Teachers, researchers, and students in applied mathematics, chemical engineering and ecology will find this book a welcome resource.

    • Mathematical models of competition
    • Dynamical systems approach
    • Mathematical techniques explained in detail
    • Future directions and open questions discussed
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: June 2008
    • format: Paperback
    • isbn: 9780521067348
    • length: 332 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.5kg
    • contains: 42 b/w illus. 5 tables
    • availability: Available
  • Table of Contents

    1. The simple chemostat
    2. The general chemostat
    3. Competition on three trophic levels
    4. The chemostat with an inhibitor
    5. The simple gradostat
    6. The general gradostat
    7. The chemostat with periodic washout rate
    8. Variable yield models
    9. A size-structured competition model
    10. New directions
    11. Open questions
    Appendix A. Matrices and their eigenvalues
    Appendix B. Differential inequalities
    Appendix C. Monotone systems
    Appendix D. Persistence
    Appendix E. Some techniques in nonlinear analysis
    Appendix F. A convergence theorem.

  • Authors

    Hal L. Smith, Arizona State University

    Paul Waltman, Emory University, Atlanta

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×