A mathematical model for jiggers infestation incorporating effects of media campaigns

Matendechere Nancy Imbusi, Winifred Mutuku, Farai Nyabadza

Abstract


Jiggers infestation remains a problem especially in areas with limited or no interventions. In this paper, a mathematical model that incorporates media campaigns is proposed with the aim of investigating the potential role awareness through media campaigns on jiggers infestation dynamics. We introduce a class of those that are aware in which the awareness does not completely protect individuals from jiggers. The model analysis is presented in terms of the basic reproduction number. Bifurcation analysis reveals that the model has an intrinsic backward bifurcation whenever the parameter that accounts for the proportion of larvae that develop into adult female fleas involved in jiggers transmission is included. Sensitivity analysis performed and the results suggest that the effective infestation contact rate, as well as the rate at which the larvae develop into adult fleas are the main mechanisms that fuel jiggers infestation. The implications of the result to public health and the management of jiggers infestations are discussed.

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Published: 2019-09-23

How to Cite this Article:

Matendechere Nancy Imbusi, Winifred Mutuku, Farai Nyabadza, A mathematical model for jiggers infestation incorporating effects of media campaigns, Communications in Mathematical Biology and Neuroscience, Vol 2019 (2019), Article ID 25

Copyright © 2019 Matendechere Nancy Imbusi, Winifred Mutuku, Farai Nyabadza. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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