MSc (Applied Mathematics) / Department of Mathematics and Applied Mathematics / In this study, we develop a multiscale model of soil transmitted helminths in humans with a special reference
to hookworm infection. Firstly, we develop a single scale model that comprises of five between host
scale populations namely; susceptible humans, infected humans, eggs in the physical environment, noninfective
worms in the physical environment and infective worms in the physical environment. Secondly,
we extend the single scale model to incorporate within-host scales namely; infective larvae within-host,
immature worms in small intestine, mature worm population and within-host egg population which resulted
to a multiscale model. The models are analysed both numerically and analytically. The models are
epidemiologically and mathematically well posed. Numerical simulation results show that there is a bidirectional
relationship between the between-host and within-host scales. This is in agreement with the
sensitivity analysis results, we noted that the same parameters that reduce reproductive number R0 are
the same parameters that reduce the infective worms endemic equilibrium point. From the comparative
effectiveness of hookworm interventions analysis results, we notice that any intervention combination
that include wearing shoes controls and reduces the spread of the infection. The modelling framework
developed in this study is vigorous to be applicable to other soil transmitted helminths infections / NRF
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:univen/oai:univendspace.univen.ac.za:11602/1344 |
| Date | 18 May 2019 |
| Creators | Makhuvha, Mulalo |
| Contributors | Mathebula, D., Garira, W. |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | Dissertation |
| Format | 1 online resource (viii, 106 leaves: color illustrations) |
| Rights | University of Venda |
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