Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/24505
Título: | Optimal control of a delayed HIV model |
Autor: | Rodrigues, Filipe Silva, Cristiana J. Torres, Delfim F. M. Maurer, Helmut |
Palavras-chave: | HIV Intracellular and pharmacological time delays Stability Qualitative investigation and simulation of models Optimal control |
Data: | Jan-2018 |
Resumo: | We propose a model for the human immunodeficiency virus type 1 (HIV-1) infection with intracellular delay and prove the local asymptotical stability of the equilibrium points. Then we introduce a control function representing the efficiency of reverse transcriptase inhibitors and consider the pharmacological delay associated to the control. Finally, we propose and analyze an optimal control problem with state and control delays. Through numerical simulations, extremal solutions are proposed for minimization of the virus concentration and treatment costs. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/24505 |
DOI: | 10.3934/dcdsb.2018030 |
ISSN: | 1531-3492 |
Versão do Editor: | http://dx.doi.org/10.3934/dcdsb.2018030 |
Aparece nas coleções: | CIDMA - Artigos SCG - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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[385]Rodrigues_Silva_Torres_Maurer.pdf | 620.53 kB | Adobe PDF | Ver/Abrir |
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