Despite the great advances in HIV treatment, there are still several processes in the dynamics of the infection that are not yet fully understood. Some evidences show that when the therapy HAART is suspended, infection resumes, suggesting the existence of virus reservoirs; these have been identified in the lungs, brain and guts. In this paper, following the compartmental approach, a recently proposed model is addressed, considering in particular the brain as virus reservoir and distinguishing the cells depending on whether they are inside or outside the brain, both infected and non infected. Controls mimicking the drug action are introduced and the model is analysed in terms of equilibrium points and stability, also determining the reproduction number. Numerical results are used to put in evidence the main dynamics characteristics.

Analysis of control impact on the HIV reproductive cycle in a cross infection epidemic model / Di Giamberardino, P.; Iacoviello, D.. - In: NONLINEAR DYNAMICS. - ISSN 0924-090X. - 112:(2024), pp. 10661-10687. [10.1007/s11071-024-09496-w]

Analysis of control impact on the HIV reproductive cycle in a cross infection epidemic model

Di Giamberardino P.
;
Iacoviello D.
2024

Abstract

Despite the great advances in HIV treatment, there are still several processes in the dynamics of the infection that are not yet fully understood. Some evidences show that when the therapy HAART is suspended, infection resumes, suggesting the existence of virus reservoirs; these have been identified in the lungs, brain and guts. In this paper, following the compartmental approach, a recently proposed model is addressed, considering in particular the brain as virus reservoir and distinguishing the cells depending on whether they are inside or outside the brain, both infected and non infected. Controls mimicking the drug action are introduced and the model is analysed in terms of equilibrium points and stability, also determining the reproduction number. Numerical results are used to put in evidence the main dynamics characteristics.
2024
Brain and HIV infection; Model analysis; Modelling; Viral reservoirs
01 Pubblicazione su rivista::01a Articolo in rivista
Analysis of control impact on the HIV reproductive cycle in a cross infection epidemic model / Di Giamberardino, P.; Iacoviello, D.. - In: NONLINEAR DYNAMICS. - ISSN 0924-090X. - 112:(2024), pp. 10661-10687. [10.1007/s11071-024-09496-w]
File allegati a questo prodotto
File Dimensione Formato  
DiGiamberardino_Analysis_2024.pdf

accesso aperto

Note: https://doi.org/10.1007/s11071-024-09496-w
Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 5.09 MB
Formato Adobe PDF
5.09 MB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1710012
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? 0
social impact