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Popis
In this paper, we are concerned with a generalization of the classical SIR model describing the dynamics of an infectious disease. Two distinctive features of the proposed model are: (i) the split of the cohort of susceptible into two sub-cohorts, frequent travelers running higher risks of being infected and individuals who do not travel with a lower infection rate, and (ii) lack of immunity to disease with the possibility of re-infection after recovery. These modifications reflect recent experience from Covid-19 epidemics when countries were introducing quarantine measures or travel restrictions and multiple cases of repeated reinfection of individuals were reported. Numerical simulations demonstrate that the ratio between the infection rates of mobile and non-mobile susceptible significantly impacts the dynamics of the disease. Higher infection rates for a smaller sub-cohort of active travelers lead to earlier epidemics outbreaks and affect a larger proportion of individuals.
