Detalhes do Documento

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

Autor(es): Mateus, Joaquim ; Rebelo, Paulo ; Rosa, Silvério ; Silva, César ; Torres, Delfim

Data: 2018

Identificador Persistente: http://hdl.handle.net/10314/4607

Origem: Repositório Científico da Universidade Politécnica da Guarda

Assunto(s): Epidemic model; Non-autonomous control system; Vaccination and treatment control; Optimal control; Numerical simulations


Descrição

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.

Tipo de Documento Artigo científico
Idioma Inglês
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