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- Title
Nonlinear effects in the dynamics of HIV-1 infection predicted by mathematical model with multiple delays.
- Authors
Pertsev, Nikolay; Loginov, Konstantin; Bocharov, Gennady
- Abstract
We formulate a novel mathematical model to describe the development of acute HIV-1 infection and the antiviral immune response. The model is formulated using a system of delay differential- and integral equations. The model is applied to study the possibility of eradication of HIV infection during the primary acute phase of the disease. To this end a combination of analytical examination and computational treatment is used. The model belongs to the Wazewski differential equation systems with delay. The conditions of asymptotic stability of a trivial steady state solution are expressed in terms of the algebraic Sevastyanov–Kotelyanskii criterion. The results of the computational experiments with the model calibrated according to the available estimates of parameters suggest that a complete elimination of HIV-1 infection after acute phase of infection is feasible.
- Publication
Discrete & Continuous Dynamical Systems - Series S, 2020, Vol 13, Issue 9, p2365
- ISSN
1937-1632
- Publication type
Academic Journal
- DOI
10.3934/dcdss.2020141