Qualitative and Mathematical Analysis of COVID-19 with Relapse and Re-infection Rate: A Deterministic Modelling Approach
Keywords:
COVID 19, relapse rate, re-infected, stability, treatment rate, Sensitivity AnalysisAbstract
According to the Centres for Disease Control and Prevention (CDC) and World Health Organisation (WHO), there is a high possibility of reoccurrence of COVID-19 in humans. In this study, we presented a modified SEIR model equipped with ordinary differential equations to demonstrate the dynamics of COVID 19 viral transmission, taking into account the rates of relapse and re-infection. Necessary qualitative, mathematical and sensitivity analysis were done to validate the propose model. Similarly, the model was found to be stable both locally and globally with respect to the reproduction number R0. Findings from the graphical solutions depict how these two factors affect the transmission dynamics, and how proper control measures will help in flattening out the transmission curve of the disease in the community at large.
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