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TY - THES
AB - This 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.
N2 - This 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.
M3 - Masters
PY - 2003
KW - Mathematical models
KW - Epidemics
PB - Massey University
AU - Mann, Joanne L
TI - 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
LA - en
VL - Masters of Information Science (M. Inf. Sc.)
DA - 2003
UR - http://hdl.handle.net/10179/11065
ER -