|Proceedings of the Conference on Nonlinear Coherent Structures in Physics and Biology,|
Heriot-Watt University, Edinburgh, July 95
¹Department of Mathematical and Computing Sciences,
University of Surrey,
Guildford GU2 5XH, UK
on periodic boundary conditions and in various spatial dimensions have been investigated. This model, in the case q=1, was first studied in the context of population dynamics by Cohen and Murray. Our length scales are based on ratios of norms, which involve a set of differential inequalities proved for the above equation. Lower bounds are derived for the time averages of these length scales.
SUBMITTED TO ``EUROPEAN JOURNAL OF APPLIED MATHEMATICS''