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- W3045306158 abstract "We propose and analyze a virus-to-cell and cell-to-cell infections HIV model that includes intracellular time delay and infection-age structure, where infection-age-specific conversion function is considered as the piecewise function related to infection period between initial infection and the formation of productively infected cells. Applying the theory of integrated semigroup and the Hopf bifurcation theory for semilinear equations with non-dense domain, we concern the Hopf bifurcation of the model. A non-trivial periodic solution bifurcates from the positive equilibrium, when bifurcation parameter passes through some critical values. The numerical results verify our theoretical conclusion and further demonstrate that intracellular time delay has a greater impact on the model, but the impact of infection period on the model is hardly obvious. Additionally, the sensitivity of the threshold parameter is also carried out by employing the Latin hyper-cube sampling (LHS) method and partial rank correlation coefficient (PRCC) techniques." @default.
- W3045306158 created "2020-07-29" @default.
- W3045306158 creator A5032186370 @default.
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- W3045306158 date "2020-12-01" @default.
- W3045306158 modified "2023-10-16" @default.
- W3045306158 title "Periodic oscillations in HIV transmission model with intracellular time delay and infection-age structure" @default.
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- W3045306158 doi "https://doi.org/10.1016/j.cnsns.2020.105463" @default.
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