Problems Arising from an Ageing Population

Medicine for an ageing population.

more prosperous lives. This is a great achievement reflecting long-term progress in improving standards of living and health through individual endeavour and social investment. More people are living longer after the age of 50 and each generation expects more from the future than their parents and grandparents. But our attitude to ageing and our public services have not yet caught up with the c...

Telecare for an ageing population?

One of the challenges of population ageing is the need for health and social care related to an increased prevalence of (often multiple) long-term conditions and associated functional disability. To meet these needs, the health and social care sectors need to find new ways of delivering quality care with improved outcomes and reduced costs. In other business sectors such as retailing and bankin...

Mathematical analysis of an integral equation arising from population dynamics.

In this paper, we establish the existence of travelling wave solution to an intrinsically non-linear differential-integral equation formed as a result of mathematical modelling of the evolution of an asexual population in a changing environment. This equation is first converted to a non-linear integral equation. The discretization and manipulation of the corresponding eigenvalue problem allows ...

Some Polynomial Problems Arising from Padé Approximation

In the convergence theory of Padé approximation, one needs to estimate the size of a set on which a suitably normalized polynomial q is small. For example, one needs to estimate the size of the set of r 2 [0; 1] for which max jtj=1 jq (t)j =min jtj=r jq (t)j is not “too large”. We discuss some old and new problems of this type, and the methods used to solve them. 1. Introduction Let f be a func...

Problems in Topology arising from Analysis