Mathematical ecology is a subject which recently attracts the attentions of many mathematicians and biologists. One of the most important and fundamental mathematical models in ecology is of Lotka-Volterra type. This text gives the 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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"This is an excellent and quite substantial book on global dynamical properties of Lotka-Volterra systems, such as persistence or permanence, global stability of nonnegative equilibrium points, periodic and chaotic motions..." -- W Muller, Mathematics Abstracts
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1 of 1 people found the following review helpful:
5.0 out of 5 stars
A nice approach in Lotka_volterra systems!,
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This review is from: Global Dynamical Properties of Lotka-Volterra Systems (Hardcover)
This book deals with a specific and interesting subject of adequate form. It is not an introductory book in analysis of Lotka-Volterra systems, but also it is not necessary very deep knowledge to follow its reading. The reading is pleasant and induces the reader to develop its proper reasoning. Recommendable for interested reserchers for this subject.
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