Effect of Diffusion on Lotka-volterra Systems

Effect of Diffusion on Lotka-volterra Systems PDF Author: Silogini Somasundaram
Publisher:
ISBN:
Category : Animal populations
Languages : en
Pages : 118

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Effect of Diffusion on Lotka-volterra Systems

Effect of Diffusion on Lotka-volterra Systems PDF Author: Silogini Somasundaram
Publisher:
ISBN:
Category : Animal populations
Languages : en
Pages : 118

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Book Description


Global Dynamical Properties of Lotka-Volterra Systems

Global Dynamical Properties of Lotka-Volterra Systems PDF Author: Y. Takeuchi
Publisher: World Scientific
ISBN: 9789810224714
Category : Science
Languages : en
Pages : 324

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Book Description
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.

The Effects of Diffusion and Spatial Variation in the Lotka-Volterra Competition-diffusion System

The Effects of Diffusion and Spatial Variation in the Lotka-Volterra Competition-diffusion System PDF Author: Xiaoqing He
Publisher:
ISBN:
Category :
Languages : en
Pages : 62

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Global Dynamical Properties Of Lotka-volterra Systems

Global Dynamical Properties Of Lotka-volterra Systems PDF Author: Yasuhiro Takeuchi
Publisher: World Scientific
ISBN: 9814499633
Category : Mathematics
Languages : en
Pages : 316

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Book Description
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.

The Effects of Diffusion and Cross-diffusion for the 3 X 3 Lotka-Volterra Competition System

The Effects of Diffusion and Cross-diffusion for the 3 X 3 Lotka-Volterra Competition System PDF Author: Salomé Martínez
Publisher:
ISBN:
Category :
Languages : en
Pages : 242

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Dynamics of the Lotka-Volterra Systems with Diffusion

Dynamics of the Lotka-Volterra Systems with Diffusion PDF Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 20

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Diffusion and Ecological Problems: Modern Perspectives

Diffusion and Ecological Problems: Modern Perspectives PDF Author: Akira Okubo
Publisher: Springer Science & Business Media
ISBN: 1475749783
Category : Science
Languages : en
Pages : 488

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Book Description
Surveying a wide variety of mathematical models of diffusion in the ecological context, this book is written with the primary intent of providing scientists, particularly physicists but also biologists, with some background of the mathematics and physics of diffusion and how they can be applied to ecological problems. Equally, this is a specialized text book for graduates interested in mathematical ecology -- assuming no more than a basic knowledge of probability and differential equations. Each chapter in this new edition has been substantially updated by appopriate leading researchers in the field and contains much new material covering recent developments.

Mathematics for Ecology and Environmental Sciences

Mathematics for Ecology and Environmental Sciences PDF Author: Yasuhiro Takeuchi
Publisher: Springer Science & Business Media
ISBN: 3540344284
Category : Mathematics
Languages : en
Pages : 189

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Book Description
This volume discusses the rich and interesting properties of dynamical systems that appear in ecology and environmental sciences. It provides a fascinating survey of the theory of dynamical systems in ecology and environmental science. Each chapter introduces students and scholars to the state-of-the-art in an exciting area, presents new results, and inspires future contributions to mathematical modeling in ecology and environmental sciences.

Diffusion-induced Instability in Model Ecosystems

Diffusion-induced Instability in Model Ecosystems PDF Author: Akira Ōkubo
Publisher:
ISBN:
Category : Diffusion in hydrology
Languages : en
Pages : 50

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Book Description
As a diffusion process in an ecosystem tends to give rise to a uniform density of population in space, it may be expected that diffusion plays a general role of increasing the stability in a system of mixed populations and resources. However, diffusion may also induce an instability to a system which is basically stable without diffusion. Thus a system of two interacting and diffusing populations both being co-existent in a spatially uniform distribution, hence with no patterns, may exhibit an interaction-diffusion instability. The instability results in a form of biological waves in space and time, thus leading to a 'patchiness.' (Author).

Causes, Impacts and Solutions to Global Warming

Causes, Impacts and Solutions to Global Warming PDF Author: Ibrahim Dincer
Publisher: Springer Science & Business Media
ISBN: 1461475880
Category : Technology & Engineering
Languages : en
Pages : 1171

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Book Description
Global Warming: Causes, Impacts and Solutions covers all aspects of global warming including its causes, impacts, and engineering solutions. Energy and environment policies and strategies are scientifically discussed to expose the best ways to reduce global warming effects and protect the environment and energy sources affected by human activities. The importance of green energy consumption on the reduction of global warming, energy saving and energy security are also discussed. This book also focuses on energy management and conservation strategies for better utilization of energy sources and technologies in buildings and industry as well as ways of improving energy efficiency at the end use, and introduces basic methods for designing and sizing cost-effective systems and determining whether it is economically efficient to invest in specific energy efficiency or renewable energy projects, and describes energy audit producers commonly used to improve the energy efficiency of residential and commercial buildings as well as industrial facilities. These features and more provide the tools necessary to reduce global warming and to improve energy management leading to higher energy efficiencies. In order to reduce the negative effects of global warming due to excessive use of fossil fuel technologies, the following alternative technologies are introduced from the engineering perspective: fuel cells, solar power generation technologies, energy recovery technologies, hydrogen energy technologies, wind energy technologies, geothermal energy technologies, and biomass energy technologies. These technologies are presented in detail and modeling studies including case studies can also be found in this book.