Abstract
Distinguished from the existing HIV/AIDS epidemic models, we formulate a model by considering three-age-structured, spacial diffusion, viral load-dependent infection and conversion rates to study the global dynamical behaviors of HIV/AIDS transmission. The generation operator R and the explicit expression of basic reproduction ratio R-0 are introduced. The global stability of steady states and the uniform persistence of the disease are presented. Sensitivity analysis indicates that some parameters impact the value of R-0 markedly and the intervening measure plays a crucial role in the intervention of HIV infection at population level. Furthermore, numerical simulations suggest that intervening measure at the individual and population levels is highly effective in controlling the transmission of the disease. (c) 2022 Elsevier B.V. All rights reserved.
NSTL
Elsevier