Comput Math Methods Med - A theoretical model for the transmission dynamics of the Buruli ulcer with saturated treatment.

Tópicos

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{ data(3008) multipl(1320) sourc(1022) }
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Resumo

The management of the Buruli ulcer (BU) in Africa is often accompanied by limited resources, delays in treatment, and macilent capacity in medical facilities. These challenges limit the number of infected individuals that access medical facilities. While most of the mathematical models with treatment assume a treatment function proportional to the number of infected individuals, in settings with such limitations, this assumption may not be valid. To capture these challenges, a mathematical model of the Buruli ulcer with a saturated treatment function is developed and studied. The model is a coupled system of two submodels for the human population and the environment. We examine the stability of the submodels and carry out numerical simulations. The model analysis is carried out in terms of the reproduction number of the submodel of environmental dynamics. The dynamics of the human population submodel, are found to occur at the steady states of the submodel of environmental dynamics. Sensitivity analysis is carried out on the model parameters and it is observed that the BU epidemic is driven by the dynamics of the environment. The model suggests that more effort should be focused on environmental management. The paper is concluded by discussing the public implications of the results.

Resumo Limpo

manag buruli ulcer bu africa often accompani limit resourc delay treatment macil capac medic facil challeng limit number infect individu access medic facil mathemat model treatment assum treatment function proport number infect individu set limit assumpt may valid captur challeng mathemat model buruli ulcer satur treatment function develop studi model coupl system two submodel human popul environ examin stabil submodel carri numer simul model analysi carri term reproduct number submodel environment dynam dynam human popul submodel found occur steadi state submodel environment dynam sensit analysi carri model paramet observ bu epidem driven dynam environ model suggest effort focus environment manag paper conclud discuss public implic result

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