Publisher's Synopsis
These notes give a unified treatment of semilinear non-autonomous diffusion equations and systems thereof, which satisfy a comparison principle, and whose coefficient functions depend periodically on time. Such equations arise naturally e.g. in biomathematics if one admits dependence of the data on daily, monthly or seasonal variations. Typical examples considered are the logistic equation with diffusion, Fisher's equation of population genetics, and Volterra-Lotka systems (with diffusion) of competition and predator-prey type. The existence and qualitative properties of initial-value problem are studied. Basic underlying concepts are eigenvalue of a periodic-parabolic operator.
