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• W3005016379 abstract "Vaccination and treatment are both effective methods of preventing the spread of infectious diseases. In this paper, we propose an SIRVS epidemic model with ages of vaccination and recovery, involving vaccine-induced immunity and infection-induced immunity. The basic reproduction number of the epidemic model, R 0 , is first obtained. If R 0 < 1, the local and global stabilities of the disease-free steady state are strictly proved. If R 0 > 1, to control the disease, an optimal control problem is discussed by evaluating the cost of control strategies (vaccination and treatment) and using Pontryagin's maximum principle. We use specific parameter values related to influenza A to do some numerical simulations. Results show that the recovery age plays an important role in the optimal control, where precisely, the control with vaccination only has no effect when the acquired immunity period is not more than the vaccination immunity period; otherwise, it plays a significant role in disease control." @default.
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• W3005016379 date "2020-02-05" @default.
• W3005016379 modified "2023-09-27" @default.
• W3005016379 title "Dynamics and optimal control of an age-structured SIRVS epidemic model" @default.
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• W3005016379 doi "https://doi.org/10.1002/mma.6190" @default.
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