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[In this study, we developed a deterministic model for Ebola virus disease. The model uniquely incorporates isolated and non-isolated individuals as well as sexually-infectious individuals. The model is locally asymptotically stable when the reproduction is less than one. We carried out a local sensitivity analysis which shows that the transmission probability, isolation rate, the transition rates from the isolated and non-isolated class can impact the reproduction number. These parameters can be influenced by media coverage; thus we uniquely incorporate into our Ebola model via these parameters the effect of media which encourages infected individuals to seek treatment and remain in treatment facilities. Furthermore, we found that fewer individuals will seek treatment when there is a weak media effect compared to when there is a strong media effect. Our result also shows that as media effect increases the disease burden in the community decreases with a lower epidemic peak which lags behind the epidemic peak from the model without media.]
Published: Aug 6, 2020
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