Effectiveness of imperfect quarantine in controlling infectious diseases: A mathematical analysis of a general diffusive epidemic model.

In this paper, we investigate a general class of susceptible, infected, quarantine, recovered (SIQR) epidemic models with spatial heterogeneity and imperfect quarantine, focusing on the role of quarantines in controlling infectious diseases. We first determine the expression of the basic reproduction number $ \mathcal{R}_0 $ for two infected classes and allowing the transmission between them. Then, the stability of the steady states is investigated depending on $ \mathcal{R}_0 $. Moreover, we analyze the impact of small/large diffusion rates of susceptible and infected individuals depending on the quarantine rates. Finally, we provide a list of recommendations to contain the spread of a disease. [ABSTRACT FROM AUTHOR]