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Monotone Dynamical Systems: An Introduction to the Theory of Competitive and Cooperative Systems
Hal L. Smith
其他書名
An Introduction to the Theory of Competitive and Cooperative Systems
出版American Mathematical Soc., 1995
主題Mathematics / GeneralMathematics / Differential Equations / General
ISBN08218448739780821844878
URLhttp://books.google.com.hk/books?id=vOfNAwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋This book presents comprehensive treatment of a rapidly developing area with many potential applications: the theory of monotone dynamical systems and the theory of competitive and cooperative differential equations. The primary aim is to provide potential users of the theory with techniques, results, and ideas useful in applications, while at the same time providing rigorous proofs. Among the topics discussed in the book are continuous-time monotone dynamical systems, and quasimonotone and nonquasimonotone delay differential equations. The book closes with a discussion of applications to quasimonotone systems of reaction-diffusion type. Throughout the book, applications of the theory to many mathematical models arising in biology are discussed. Requiring a background in dynamical systems at the level of a first graduate course, this book is useful to graduate students and researchers working in the theory of dynamical systems and its applications.