Global Dynamical Properties Of Lotka-volterra Systems
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A01=Yasuhiro Takeuchi
Author_Yasuhiro Takeuchi
Bifurcation
Category=PBW
Category=PSG
Chaos
Delay Differential Equations
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eq_isMigrated=1
eq_nobargain
eq_non-fiction
eq_science
Global Stability
Mathematical Ecology
Ordinary Differential Equations
Otka-Volterra Systems
Permanence
Persistence
Population Dynamics
Product details
- ISBN 9789810224714
- Publication Date: 01 Apr 1996
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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.
