The papers in this volume are based on talks given at a one day conference held on the campus of Adelphi University in April 1982. The conference was organized with the title "Oscillations in Mathematical Biology;" however the speakers were allowed considerable latitutde in their choice of topics. In the event, the talks all concerned the dynamics of non-linear systems arising in biology so that the conference achieved a good measure of cohesion. Some of the speakers cho~e not to submit a manuscript for these proceedings, feeling that their material was too conjectural to be committed to...

Addresses one of the main problems of population ecology - the inferrence of mortality rates for a set of age classes or development stages. After a survey of previously published methods, the text introduces spline theory and explains how to overcome instabilities that arise during estimation.

This volume is an investigation of interspecific competition for space, particularly among sessile organisms, both plant and animal, and its consequences for community structure. While my own contribu- tion ----and the bulk of this volume --- lies in mathematical analysis of the phenomenon, I have also tried to summarize the most important natural historical aspects of these communities, and have devoted much effort to relating the mathematical results to observations of the natural world. Thus, the volume has both a synthetic and an analytic aspect. On the one hand, I have been struck by...

This volume consists of a selection of papers presented at a 'Symposium on Mathematical Modelling in Biology and Ecology', held at the Conference Centre of the Council for Scientific and Industrial Research (CSIR), Pretoria, South Africa on July 5 and 6, 1979. The Symposium was organized by the National Research Institute for Mathematical Sciences of the CSIR, the National Institute of Virology, the University of the Witwaters= rand and the South African Journal of Science. The primary reason for the symposium was to provide a forum for South African researchers in the fields of Mathematical...

These notes correspond to a set of lectures given at the Univer- sity of Alberta during the spring semester, 1973. The first four sec- tions present a systematic development of a deterministic, threshold model for the spraad of an infection. Section 5 presents some compu- tational results and attempts to tie the model with other mathematics. In each of the last three sections a separate, specialized topic is presented. The author wishes to thank Professor F. Hoppensteadt for making available preprints of two of his papers and for reading and comment- ing on a preliminary version of these...

These notes serve as an introduction to stochastic theories which are useful in population biology; they are based on a course given at the Courant Institute, New York, in the Spring of 1974. In order to make the material. accessible to a wide audience, it is assumed that the reader has only a slight acquaintance with probability theory and differential equations. The more sophisticated topics, such as the qualitative behavior of nonlinear models, are approached through a succession of simpler problems. Emphasis is placed upon intuitive interpretations, rather than upon formal proofs. In most...

This volume is the record and product of the Summer School on the Physics and Mathematics of the Nervous System, held at the International Centre for Theoretical Physics in Trieste from August 21-31, 1973, and jointly organized by the Institute for Information Sciences, University of Tlibingen and by the Centre. The school served to bring biologists, physicists and mathemati- cians together to exchange ideas about the nervous system and brain, and also to introduce young scientists to the field. The program, attended by more than a hundred scientists, was interdisciplinary both in character...

This book illustrates some of the ways physics and mathematics have been, and are being, used to elucidate the underlying mechan- isms of passive ion movement through biological membranes in general, and the membranes of excltable cells in particular. I have made no effort to be comprehensive in my introduction of biological material and the reader interested in a brief account of single cell electro- physlology from a physically-oriented biologists viewpoint will find the chapters by Woodbury (1965) an excellent introduction. Part I is introductory in nature, exploring the basic electrical...

The present volume contains the papers which were accepted for presentation at the 3rd International Symposium for Systems Analysis and Simulation held in Berlin (GDR), September 12-: -16, 1988. It is already a tradition to meet a broad international community of experts in systems analysis, modelling and simulation at this symposium. This fact shows the requirements for a forum of presentation and discussion of new developments and applications of modelling and simulation in systems analysis. To realize the great interest in this field one has to take into consideration the developed role of...

The volume contains papers presented at a symposium addressing the question of how the selective nature of harvesting of natural populations might causegenetic changes. Attention is focused on both theory and on data from experiments and real fish populations, with contributions from quantitative genetics, life-history theory, population genetics and fisheries. The volume opens with a review of harvesting induced changes in fish populations by Policansky and is followed by sixteen other papers split into four topics: selection differentials, reaction norms, selection responses and the...