ON THE VOLTERRA AND OTHER NONLINEAR MODELS OF INTERACTING POPULATIONS. BY N.S. GOEL, S.C. MAITRA, E.W. MONTROLL. NEW YORK; LONDON: ACAD. PR. 1971. VII,145 S

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 Volterra's model is one of the simplest nonlinear competition models. It explores the model through the study of the population growth of a species. It also covers other theories and concepts relating to the Volterra model in the context of the study. These include equilibrium theory, diversity and stability in ecological systems, and time lags in population among others. The book is a helpful reference for students, researchers, scientists, policymakers, and other parties in search of model/s that fully investigate different assemblies. Content: REVIEWS OF MODERN PHYSICS MONOGRAPHS , Page ii Front Matter , Page iii Copyright , Page iv Acknowledgments , Page vii I - Introduction , Pages 1-5 II - Volterra Model , Pages 7-21 III - A Primitive Statistical Model of Population Growth , Pages 23-40 IV - Equilibrium Theory , Pages 41-57 V - Time-Dependent Fluctuations in Population , Pages 59-76 VI - Diversity and Stability in Ecological Systems , Pages 77-85 VII - Volterra Equations with Random Rate Constants , Pages 87-95 VIII - Population Growth as Birth and Death Processes , Pages 97-99 IX - Time Lags in Population , Pages 101-111 X - Generalization of Volterra Equations , Pages 113-120 XI - Experimental Verification of Volterra's Model , Pages 121-124 Appendix A - TIME AVERAGES OF VARIOUS FUNCTIONS OF N i AND , Pages 125-130 Appendix B - MICROCANONICAL AVERAGES OF VARIOUS FUNCTIONS OF N i , Pages 131-135 Appendix C - CANONICAL AVERAGES OF VARIOUS FUNCTIONS OF N i , v i , AND THEIR TIME DERIVATIVES , Pages 137-140 Appendix D - ROOTS OF THE EQUATION ze z +γ=0, γ COMPLEX , Pages 141-142 References , Pages 143-145