Modelling waterborne diseases.
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Date
2013
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Abstract
Waterborne diseases are among the major health problems threatening the life of individuals
globally. This thesis investigates the dynamics of waterborne disease under different conditions
and consequently determines possible intervention strategies to minimize the spread of the
disease. The following problems are addressed:
The effects of seasonal variations on the dynamics of waterborne disease together with the
possible benefits of control intervention strategies such as vaccination, treatment and provision
of clean water under the assumption of a homogeneous population are investigated. Specifically,
we determine the optimal use of the intervention strategies to mitigate the spread of the disease.
The dynamics of waterborne disease in a multiple socioeconomic class community is explored.
Particularly, we investigate the effects of migration of individuals due to socioeconomic reasons
on the dynamics of waterborne disease under the assumption of heterogeneous mixing
population.
We examine the effects of multiple contaminated water sources on the dynamics of waterborne
disease under the assumption of homogeneous population. We also consider the problem of
minimizing cost and determine the optimal use of vaccination to reduce the spread of infections.
The effects of heterogeneity on the transmission dynamics of waterborne disease is explored.
Furthermore, we scrutinize use of the control intervention strategies to mitigate the spread of
the infections under a heterogeneous population setting.
Description
Ph. D. University of KwaZulu-Natal, Durban 2013.
Keywords
Waterborne infection., Groundwater -- Pollution., Diseases -- Vaccination., Theses -- Applied mathematics.