Description

Book Synopsis
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.

Table of Contents
Lotka-Volterra systems; Lotka-Volterra diffusion systems; Lotka-Volterra delayed systems.

Global Dynamical Properties Of Lotka-volterra

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    A Hardback by Yasuhiro Takeuchi

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 1 April 1996
      ISBN-13 9789810224714
      978-9810224714
      ISBN-10 9810224710
      Also in:
      Applied mathematics Microbiology (non-medical)

      Description

      Book Synopsis
      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.

      Table of Contents
      Lotka-Volterra systems; Lotka-Volterra diffusion systems; Lotka-Volterra delayed systems.

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