Front Cover; Nonlinear Models of Interacting Populations; Copyright Page; Table of Contents; ACKNOWLEDGMENTS; Chapter I. Introduction; Chapter II. Volterra Model; Chapter III. A Primitive Statistical Model of Population Growth; Chapter IV. Equilibrium Theory; Chapter V. Time-Dependent Fluctuations in Population; Chapter VI. Diversity and Stability in Ecological Systems; Chapter VII. Volterra Equations with Random Rate Constants; Chapter VIII. Population Growth as Birth and Death Processes; Chapter IX. Time Lags in Population; Chapter X. Generalization of Volterra Equations. Chapter XI. Experimental Verification of Volterra's ModelAppendix A. Time Averages of Various Functions of Ni and Ni; Appendix B. Microcanonical Averages of Various Functions of Ni; Appendix C. Canonical Averages of Various Functions of Ni, yi, and Their Time Derivatives; Appendix D. Roots of the Equation Zez+Þ=0, Þ Complex; References

On the Volterra and Other Nonlinear Models of Interacting Populations explores the various models brought upon to investigate the different assemblies known to man. Assemblies include populations of various biological species, countries, and political parties among others. Because there are numerous assemblies to be measured and evaluated, it has been decided that a standard model be used to ascertain a detailed investigation. One of the models that have been brought forward is introduced by Volterra, which started as a basis for ecological processes. The book begins by establishing that V