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Title: Optimal control of non-autonomous SEIRS models with vaccination and treatment
Author: Mateus, Joaquim P.
Rebelo, Paulo
Rosa, Silvério
Silva, César M.
Torres, Delfim F. M.
Keywords: Epidemic model
Non-autonomous control system
Numerical simulations
Vaccination and treatment control
Optimal control
Issue Date: 6-Dec-2018
Publisher: American Institute of Mathematical Sciences
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
Peer review: yes
DOI: 10.3934/dcdss.2018067
ISSN: 1937-1632
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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