Optimal control of non-autonomous SEIRS models with vaccination and treatment

Abstract

We study an optimal control problem for a non-autonomous SEIRS model with incidence given by a general function of the infective, the susceptible and the total population, and with vaccination and treatment as control variables. We prove existence and uniqueness results for our problem and, for the case of mass-action incidence, we present some simulation results designed to compare an autonomous and corresponding periodic model, as well as the controlled versus uncontrolled models.

Preprint of a paper whose final and definite form is with 'Discrete and Continuous Dynamical Systems -- Series S' (DCDS-S), ISSN 1937-1632 (print), ISSN 1937-1179 (online), available at [http://dx.doi.org/10.3934/dcdss.2018067]. Paper Submitted 03-April-2017; Revised 20-June-2017; Accepted 21-June-2017. In this version minor corrections detected during reading of the galley proof were done

References in corpus (3)

• An epidemic model for cholera with optimal control treatment
• Optimal Control of a Tuberculosis Model with State and Control Delays
• Lipschitzian Regularity of the Minimizing Trajectories for Nonlinear Optimal Control Problems

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