Dynamic Optimal Control Model for Dual-Pair Treatment Functions of Dual Delayed Hiv-Pathogen Infections

Affirming recent positive results for the possible eradications of dual HIVpathogen infectivity as identified in the literature of this work, the present paper using ordinary differential equations sought and formulated an extended 8-dimensional mathematical dual delay HIV-pathogen dynamic model.The study seek and addressed the epidemiological dynamic optimal control for the application of dual-pair treatment functions following the interplay of dual delay HIV-pathogen infections with host target immune system cells.The novelty of this model is informed by the combination of dual chemotherapy and dual components of cytotoxic T-lymphocytes (CTLs) as dual-pair treatment functions in the presence of delay intracellular and intrinsic virulence index.We articulated the model as an optimal control problem and therefore, adopted classical Pontryagin's maximum principle of the optimal control theory for its analysis.System stability analysis was equally conducted and optimality system of model established.Using Runge-Kutta of order 4 in a Mathcad surface, model validity was numerically illustrated.Results emphatically indicated tremendous maximization of healthy T CD4 + cells and maximal sustainability of precursors and effectors of CTLs.Furthermore, elimination of both virions infected T-cells and infectious virions were achieved at faster time rate under minimized systemic cost and overall commercial value on chemotherapy acquisition established.The model thus, exhibited intellectual proceeding worthy of replication on other related infectious diseases.