{"product_id":"the-theory-of-the-chemostat-dynamics-of-microbial-competition-paperback-9780521067348","title":"The Theory of the Chemostat; Dynamics of Microbial Competition (Paperback \/ softback) 9780521067348","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Theory of the Chemostat\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eDynamics of Microbial Competition\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eBasic modelling, analysis and simulation of systems that have proven effective in real ecological applications.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHal L. Smith (Author), Paul Waltman (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521067348, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 26 June 2008\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e332 pages, 42 b\/w illus.  5 tables\u003cbr\u003e22.9 x 15.2 x 1.9 cm, 0.5 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"The Theory of Chemostat by Smith and Waltman, two of the leading authorities on the thoery of the chemostat, provides an outstanding introduction to this thoery.  Starting from the simplest models of the well-stirred chemostat, they lead the reader from the basic theory, through many of its elaborations, up to the frontiers of current research and many open questions and unsolved problems....This well-written, well-organized book is destined to become a classic in mathematical biology.\"    J.M. Cushing, SIAM Review\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. The simple chemostat\u003cbr\u003e 2. The general chemostat\u003cbr\u003e 3. Competition on three trophic levels\u003cbr\u003e 4. The chemostat with an inhibitor\u003cbr\u003e 5. The simple gradostat\u003cbr\u003e 6. The general gradostat\u003cbr\u003e 7. The chemostat with periodic washout rate\u003cbr\u003e 8. Variable yield models\u003cbr\u003e 9. A size-structured competition model\u003cbr\u003e 10. New directions\u003cbr\u003e 11. Open questions\u003cbr\u003e Appendix A. Matrices and their eigenvalues\u003cbr\u003e Appendix B. Differential inequalities\u003cbr\u003e Appendix C. Monotone systems\u003cbr\u003e Appendix D. Persistence\u003cbr\u003e Appendix E. Some techniques in nonlinear analysis\u003cbr\u003e Appendix F. A convergence theorem.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical modelling [\u003ca title=\"See our other books on Mathematical modelling\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20modelling%20%5BPBWH%5D%22\"\u003ePBWH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006300016920,"sku":"9780521067348","price":56.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521067348i.jpg?v=1694969100","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-theory-of-the-chemostat-dynamics-of-microbial-competition-paperback-9780521067348","provider":"Freshly Printed Books","version":"1.0","type":"link"}