Global Dynamical Properties of Lotka-Volterra Systems

Global Dynamical Properties of Lotka-Volterra Systems
Author :
Publisher : World Scientific
Total Pages : 324
Release :
ISBN-10 : 9810224710
ISBN-13 : 9789810224714
Rating : 4/5 (714 Downloads)

Book Synopsis Global Dynamical Properties of Lotka-Volterra Systems by : Y. Takeuchi

Download or read book Global Dynamical Properties of Lotka-Volterra Systems written by Y. Takeuchi and published by World Scientific. This book was released on 1996 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical ecology is a subject which recently attracts attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This book gives global dynamical properties of L-V systems. The properties analyzed are global stability of the equilibria, persistence or permanence of the systems (which ensures the survival of all the biological-species composed of the systems for the long term) and the existence of periodic or chaotic solutions. The special subject of this book is to consider the effects of the systems structure, diffusion of the biological species and time delay on the global dynamical properties of the systems.


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