Models for the management of asthma

Abstract

Asthma is a serious health problem. Its prevalence varies markedly between different countries, with figures of 0.09% for all ages in the highlands of Papua New Guinea and 75% for children in the Western Carolines in the pacific ocean. In the United kingdom, about 10% of children suffer from the disease. Adults also suffer from asthma. There is no curative treatment for asthma. A good management of asthma would mean the prevention or the control of the degree of severity of an attack. There are two approaches for the management of asthma, acute care and preventive care. With preventive care, usually by inhaled steroids, a General Practitioner may have higher prescribing costs, but this can be justified if it leads to reduced mortality, fewer admissions to hospital and fewer days off work or school. The problem is determining what the optimum balance between the two should be. In this thesis, we attempt to reslove this problem among others by describing deterministic and stochastic models for the management of the disease.

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