# Some Mathematical Questions in Biology—Models in Population Biology

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*Alan Hastings*

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.