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Optimal control strategy for SEIR with latent period and a saturated incidence rate. (English) Zbl 1298.92092

Summary: We propose an SEIR epidemic model with latent period and a modified saturated incidence rate. This work investigates the fundamental role of the vaccination strategies to reduce the number of susceptible, exposed, and infected individuals and increase the number of recovered individuals. The existence of the optimal control of the nonlinear model is also proved. The optimality system is derived and then solved numerically using a competitive Gauss-Seidel-like implicit difference method.

MSC:

92D30 Epidemiology
93C95 Application models in control theory
34K20 Stability theory of functional-differential equations
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