A mathematical model to describe haemophilus influenzae type B within Western Australia

This work is primarily aimed at determining the effect that an immunisation policy Is likely to have on the incidence of Haemophllus influenzae Type B (HIB) and systematic HIB in Western Australia. There was a significant effort made to collect data pertinent to the estimation of parameter values but since HIB has only been a notifiable disease since 1992, there was a distinct lack of relevant data available. Private communication with individual’s such as Dr Jeffrey Hanna and Dr Beryl Wild resulted in practical information being obtained that was used to estimate certain parameters. The deterministic mathematical models within the thesis are extensions of existing ideas tailored to suit the needs of this thesis. Chapter one is a basic introduction to the pursuit of modelling infectious diseases with a brief description of basic epidemiology concepts. It also shows that even simple models may not deliver analytical results. Chapter two extends a model used by Angela Mclean and allows some analytical results to be obtained by first simplifying the model and then solving using standard methods to give the equilibrium distributions for the proportions of people in each state within the model

Grantor dc:publisher

Edith Cowan University, Research Online, Perth, Western Australia

Year dc:date

1995

Author dc:creator

• Dennis, Kevin

• Influenza
• Western Australia
• Epidemiology
• Mathematical models
• Influenza vaccines
• Transmission
• Influenza Humans

Repository record dc:identifier

https://ro.ecu.edu.au/theses/1160

OAI identifier oai:identifier

oai:ro.ecu.edu.au:theses-2161