Modelling repeated epidemics with general infection kernels : this thesis is presented in partial fulfilment of the requirements for the degree of Masters of Information Science in Mathematics at Massey University

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dc.contributor.authorMann, Joanne L
dc.date.accessioned2017-05-23T01:30:01Z
dc.date.available2017-05-23T01:30:01Z
dc.date.issued2003
dc.description.abstractThis thesis is on mathematical modelling in epidemiology, exploring the generic characteristics of diseases in two different population structures. Integral equations are used, to model the epidemics in each generation (of the epidemic). Difference equations are then used to model the change in the populations between epidemics. Initially, single dimension populations are modelled, where the entire population is considered to be one class. Then the population is split into two classes and a similar analysis is performed, with critical differences noted between the two structures. An analytical approach is taken, with numerical examples. The work in this thesis is not specific to one disease, the main focus is to develop a stepped process between generations of the epidemic and analyse the behaviour.en_US
dc.identifier.urihttp://hdl.handle.net/10179/11065
dc.language.isoenen_US
dc.publisherMassey Universityen_US
dc.rightsThe Authoren_US
dc.subjectMathematical modelsen_US
dc.subjectEpidemicsen_US
dc.titleModelling repeated epidemics with general infection kernels : this thesis is presented in partial fulfilment of the requirements for the degree of Masters of Information Science in Mathematics at Massey Universityen_US
dc.typeThesisen_US
massey.contributor.authorMann, Joanne Len_US
thesis.degree.disciplineMathematicsen_US
thesis.degree.grantorMassey Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMasters of Information Science (M. Inf. Sc.)en_US
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