Lectures on Mathematics in the Life Sciences 1989; 123 pp; softcover Volume: 20 ISBN10: 0821811703 ISBN13: 9780821811702 List Price: US$40 Member Price: US$32 Order Code: LLSCI/20
 Population biology has had a long history of mathematical modeling. The 1920s and 1930s saw major strides with the work of Lotka and Volterra in ecology and Fisher, Haldane, and Wright in genetics. In recent years, much more sophisticated mathematical techniques have been brought to bear on questions in population biology. Simultaneously, advances in experimental and field work have produced a wealth of new data. While this growth has tended to fragment the field, one unifying theme is that similar mathematical questions arise in a range of biological contexts. This volume contains the proceedings of a symposium on Some Mathematical Questions in Biology, held in Chicago in 1987. The papers all deal with different aspects of population biology, but there are overlaps in the mathematical techniques used; for example, dynamics of nonlinear differential and difference equations form a common theme. The topics covered are cultural evolution, multilocus population genetics, spatially structured population genetics, chaos and the dynamics of epidemics, and the dynamics of ecological communities. Readership Table of Contents  P. J. Richerson and R. Boyd  Social learning as an adaptation
 A. Hastings  Deterministic multilocus population genetics: An overview
 T. Nagylaki  The diffusion model for migration and selection
 G. L. Truty and W. M. Schaffer  Chaos versus noisedriven dynamics
 P. L. Chesson  A general model of the role of environmental variability in communities of competing species
