Mathematical modelling of epidemics with account for population awareness

Agaba, Grace Omeche (2016) Mathematical modelling of epidemics with account for population awareness. Doctoral thesis (PhD), University of Sussex.

[img] PDF - Published Version
Download (2MB)

Abstract

In this thesis I developed and analysed several mathematical models that describe the dynamics of infectious diseases spreading in a population simultaneously with people becoming aware of the presence of the disease and thus modifying their behaviour. This is achieved using compartmental models, with further extensions to models with time delays and the administration of vaccines. Resulting mathematical models were analysed using the techniques of dynamical systems and bifurcations theory, complemented by direct numerical simulations. Design of optimal strategies maximising the reduction of infection rates subject to logistical constraints were studied within the new modelling framework and with a view to be used in realistic contexts. Of particular interest is the design and analysis of the impact of local and global awareness campaigns, as well as the administration of vaccines to minimise the spread of infections.

Item Type: Thesis (Doctoral)
Schools and Departments: School of Mathematical and Physical Sciences > Mathematics
Subjects: R Medicine > RA Public aspects of medicine > RA0421 Public health. Hygiene. Preventive Medicine > RA0648.5 Epidemics. Epidemiology. Quarantine. Disinfection
Depositing User: Library Cataloguing
Date Deposited: 08 Nov 2016 14:48
Last Modified: 08 Nov 2016 14:48
URI: http://sro.sussex.ac.uk/id/eprint/65367

View download statistics for this item

📧 Request an update