Stochastic dynamics and treatment strategies of an HIV infection model with quiescent cells, CTLs and antibody immune responses

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Abstract

In this paper, a stochastic human immunodeficiency virus (HIV) infection model incorporating quiescent cells, cytotoxic C lymphocytes (CTLs), and antibody immune responses is formulated. First, the existence and uniqueness of the global positive solutions to the model are proven, which guarantees the well-posedness and validity of the constructed dynamic system. Second, the existence of the ergodic stationary distribution is investigated by constructing suitable stochastic Lyapunov functions. Third, the sufficient conditions for virus elimination are derived. Furthermore, optimal control strategies consistent with clinical antiviral treatment regimens are proposed to achieve a trade-off between therapeutic efficacy and economic costs. To validate the theoretical results and further compare the practical performance of different intervention schemes, numerical simulations are implemented, including theoretical verification, parameter sensitivity analysis, and comprehensive cost-effectiveness assessment of various therapeutic strategies. This study systematically clarifies the dynamical evolutionary behaviors of stochastic HIV infection and the efficacy of different control measures. The findings not only enrich the theoretical research on stochastic HIV infection model but also provide solid theoretical support and quantitative guidance for the design, assessment, and optimal selection of clinical HIV treatment strategies.

Keywords

stochastic HIV infection model / ergodic stationary distribution / virus elimination / optimal control strategies

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