University of Alberta

Abstract: The inverse algebraic approximation is addressed and established in the Jacobi-weighted Sobolev and Besov spaces. With the inverse approximation of algebraic polynomials, we investigate the inverse approximation of the finite element...

Abstract Cholera is still prevalent in some parts of the world and its dynamics are not fully understood. I will present two models which incorporate the idea of a minimum infectious dose into the transmission term. The second model also includes the...

Abstract We present models to address two major issues surrounding bee-pollinated crops: (1) the movement of transgenic pollen and (2) the collapse of honeybee colonies. Both issues are inextricably tied to bee movement, and thus solutions can only...

Given the vast amount of fieldwork data that exists for tropical plant and tree communities, it is of foremost interest to develop a mechanistic model to describe plant population dynamics. Since tropical forests not only have a large number of...

Abstract In this talk, I'll introduce Kuang and Beretta's method to determine the stability of equilibria for delay differential equations (DDEs). Based on this method and some numerical results from some classic models(predator-prey, HIV, CTL...

Abstract In my talk I will review some crucial steps, based on mathematical reasoning, that laid foundations of today's theoretical ecology. I will start with the Lotka-Volterra predator-prey model and will review some subsequent research. I will...

Abstract: Wavelet bases are thought to provide, for functions with local singularities in arbitrary dimension, a representation that is optimally local in space and frequency. In reality, even in moderate dimension, standard wavelet constructions...

Abstract Classical Arbitrage Theory for frictionless financial markets relates economically meaningful property of absence of arbitrage with the fundamental probabilistic concept of equivalent martingale measure. Densities processes of equivalent...

Abstract I will explain some recent results (joint work with Ya.G. Sinai) on the bifurcation of solutions to the Navier-Stokes system. We consider the stream function and construct a set of initial data such that initial critical points bifurcate...

Abstract Convex risk measures on spaces of c\`adl\`ag processes whose supremum belongs to an Orlicz heart are discussed. We obtain representations of linear functionals on such spaces, and introduce some examples of convex risk measures. In addition...