An S->I->R->S epidemiological model with vital dynamics in a population of varying size is discussed. A complete global analysis is given which uses a new result to establish the nonexistence of periodic solutions. Results ...

The main purpose of this paper is first to show how one can apply the theory of the double Gamma function, which has recently been revived in the study of the determinants of Laplacians, to evaluate some classes of series ...

We show that normal elements in simple AF-algebras with countably many extremal traces (such as UHF-algebras and matroid algebras) can be approximated by normal elements with finite spectra. Other AF-algebras are shown to ...

'Attractor' neural network models have useful properties, but biology suggests that lack of symmetry and more varied dynamics may be significant. The equations of the Hopfield network, without the constraint of symmetry, ...

We discuss steady boundary value problems for the Boltzmann equation with inflow and diffusive boundary conditions in 1, 2 and 3 dimensions, with suitable truncations of the collision kernel. General existence and uniqueness ...