Dynamics of Persistent Epidemic and Optimal Control of Vaccination
Masoud Saade,
Sebastian Aniţa,
Vitaly Volpert
Abstract:This paper is devoted to a model of epidemic progression, taking into account vaccination and immunity waning. The model consists of a system of delay differential equations with time delays determined by the disease duration and immunity loss. Periodic epidemic outbreaks emerge as a result of the instability of a positive stationary solution if the basic reproduction number exceeds some critical value. Vaccination can change epidemic dynamics, resulting in more complex aperiodic oscillations confirmed by some… Show more
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