Concepts and Models of a Quantitative Sociology The Dynamics of

While the volumes hitherto published in the Springer Series in Synergetics have been devoted almost exclusively to the self-organized formation of structures in physics, chemistry and biology, the present monograph by Weidlich and Haag deals with the form

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Editor: Hermann Haken

Synergetics, an interdisciplinary field of research, is concerned with the cooperation of individual parts of a system that produces macroscopic spatial, temporal or functional structures. It deals with deterministic as well as stochastic processes. Volume 1 Synergeties An Introduction 2nd Edition By H..fIaken Volume 2 Synergetics A Workshop Editor: H. Haken Volume 3 Synergetics Far from Equilibrium Editors: A. Pacault and C. Vidal Volume 4 Structural Stability in Physics Editors: W. Giittinger and H. Eikemeier Volume 5 Pattern Formation by Dynamic Systems and Pattern Recognition Editor: H. Haken Volume 6 Dynamics of Synergetic Systems Editor: H. Haken Volume 7 Problems of Biological Physics By L. A. Blumenfeld Volume 8 Stochastic Nonlinear Systems in Physics, Chemistry, and Biology Editors: L. Arnold and R. Lefever Volume 9 Numerical Methods in the Study of Critical Phenomena Editors: J. Della Dora, J. Demongeot, and B. Lacolle Volume 10 The Kinetic Theory of Electromagnetic Processes By Yu, L. Klimontovich Volume 11 Chaos and Order in Nature Editor: H. Haken Volume 12 Nonlinear Phenomena in Chemical Dynamics Editors: C. Vidal and A. Pacault Volume 13 Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences By C. W. Gardiner Volume 14 Concepts and Models of a Quantitative Sociology The Dynamics of Interacting Populations By W. Weidlich and G. Haag Volume 15 Noise Induced Transitions. Theory and Applications in Physics, Chemistry, and Biology By W. Horsthemke and R. Lefever Volume 16 Physics of Bioenergetic Processes By L. A. Blumenfeld Volume 17 Evolution of Order and Chaos in Physics, Chemistry, and Biology Editor: H. Haken Volume 18 The Fokker-Planck-Equation By H. Risken

W Weidlich G. Haag

Concepts and Models of a

Quantitative Sociology The Dynamics of Interacting Populations

With 71 Figures

Springer-Verlag Berlin Heidelberg New York 1983

Professor Dr. Wolfgang Weidlich Dr. GUnter Haag Institut fUr Theoretische Physik der Universitiit Stuttgart, Pfaffenwaldring 57/III D-7000 Stuttgart 80, Fed. Rep. of Germany

Series Editor Professor Dr. Hermann Haken Institut fiir Theoretische Physik der Universitiit Stuttgart, Pfaffenwaldring 57/IV D-7000 Stuttgart 80, Fed. Rep. of Germany

ISBN-13:978-3-642-81791-5 DOl: 10.1007978-3-642-81789-2

e-ISBN-13:978-3-642-81789-2

Library of Congress Cataloging in Publication Data. Weidlich, Wolfgang, 1931- Concepts and models of a quantitative sociology. (Springer series in synergetics ; v. 14) Bibliography: p. Includes index. 1. SociologyMathematical models. 2. Equations of motion. 3. Social sciences-Mathematical models. 4. DemographyMathematical models. 5. System analysis. I. Haag, Gunter. II. Title. III. Series. HM24W448 1982 301'.0724 82-16785 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, reuse of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data hanks. Und