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Lotka-Volterra-Approach to Cooperation and Competition in Dynamic Systems
Proceedings of the 5th Meeting of UNESCO’s Working Group on System Theory held on the Wartburg, Eisenach (GDR) March 5–9, 1984
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Edited by:
Werner Ebeling
Language:
English
Published/Copyright:
1985
Topics
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Frontmatter
1 -
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Preface
5 -
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List of Contributors
6 -
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Contents
7 -
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Introductory Remarks
9 - Part I: Theory of the Lotka-Volterra Approach
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Complicated dynamics in simple models of ecological systems
13 -
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Permanence in Lotka-Volterra and Replicator Equations
23 -
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Dynamical regression in complex systems-Ecological examples
35 -
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Chain decomposition of growth functions and structure models of ecological systems
45 -
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Continuous Lotka-Volterra models for evolution processes
55 -
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The Maximum Principle for Replicator Equations
63 -
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Bilinear and Hamilton Systems, Macrodynamics
72 - Part II: Julia Sets and Strange Attractors
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Phase Transitions and Julia Sets
81 -
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Geometry of Attractors, some rigorous results
103 - Part III: Dynamic Systems and Information Problems
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Some problems of the parameter identification of strange attractors
114 -
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Chaotic dynamics of Information Processing: The 'magic number seven plus-minus tuo'revisited
123 -
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Information-theoretical- methods in the stochastic theory of open systems
133 - Part IV: Application of the Lotka-Uolterra Approach and other iteraction structures
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Lotka-Uolterra Statistical Mechanics in cell-membrane/ cell-metabolism systems
143 -
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The influence of noise on an biochemical oscillator
152 -
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Models for parasitic diseases
162 -
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Spontaneous biological pattern formation in three dimensions - The morphogene prepattern theory of mitosis and cytokinesis
170 -
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Existence of wave trains in reaction-diffusion systems
182 -
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Modelling the spatial evolution of population and employment - The case of the United States
191 - Part V: Poster Contributions
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Qualitative analysis of Volterra Equations and its Riccati Transformation uith special regard to bifurcation behaviour
213 -
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Robustness of the solution of stochastic Volterra differential equations
217 -
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An attempt of a fuzzy approach to Volterra systems
220 -
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Chaos in a Lotka-Volterra-System - A numerical study
224 -
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Structuring and Evolution Processes
228 -
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Investigation of World Energy consumption and World Population in terms of a Hyperlogistic Evolution Model
232 -
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Chain structures in 1-st order differential equations
236 -
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State Models - An appropriate tool for improving the efficiency of biotechnical processes
241 -
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Imigrating and Emigrating organisms in a Finite Volterra World
245 -
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Discretness in a continous model of biological evolution
248 -
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Dissipative structures in an ionic Lotka-Volterra type chemical reaction system
252 -
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Effect of fluctuations on front propagation in nonequilibrium systems
258 - Late Paper
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The evolon growth model and its application to natural processes
261
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 31, 1985
eBook ISBN:
9783112780251
Hardcover published on:
December 31, 1985
Hardcover ISBN:
9783112780244
Original publisher:
Akademie-Verlag Berlin
Edition:
Reprint 2024
Pages and Images/Illustrations in book
Main content:
272
Audience(s) for this book
College/higher education;
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
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