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Ebola transmission dynamics: will future Ebola outbreaks become cyclic?

The Ebola Virus Disease (EVD) can persist in some body fluids after clinical recovery. In Guinea and the Democratic Republic of the Congo, there are well-documented cases of EVD reemergence that were associated with previous outbreaks. In many cases, male EVD survivors were associated with the re-introduction of new outbreaks. This has shown that even after controlling an EVD outbreak, a close biomedical monitoring of survivors and contacts is critical to avoiding future outbreaks. Thus, in order to explore the main features of EVD transmission dynamics in the context of re-emergence, we used a compartmental model by considering vaccination around EVD contacts. Analytical and numerical analyses of the model were conducted. The model is mathematically and epidemiologically well-posed. We computed the reproductive number (R0) and the disease equilibrium points (disease-free equilibrium and endemic equilibrium) for the re-emerging outbreak. The stability analysis of the model around those equilibrium points was performed. The model undergoes a backward bifurcation at R0 close to 1, regardless R0 < 1, the disease will not be eradicated. This means that R0 cannot be considered as an intervention control measure in our model.

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