Numerical Methods of Lyapunov Control Function (LCF) for De-replication of Dual HIV-Pathogen Infections
[1]
Bassey Echeng Bassey, Department of Mathematics / Statistics, Cross River University of Technology, Calabar, Nigeria.
[2]
Bassey Delphine Rexson, Department of Botany, University of Calabar, Calabar, Nigeria.
In this study, among other control measures for the control of human immune deficiency virus (HIV), the intense of this paper were conditioned to incorporate a novel Lyapunov control function (LCF) for the control of nonlinear dual HIV-pathogen infectivity and maximization of the concentration of healthy cytotoxic lymphocytes (CD4+ T cell count) model. The uncertainty surrounding the gradual decay in the state variable parameters and the external control setting was studied. This was followed with the application of system derived novel LCF at varying strategies. Predominantly, the strategies considered are the inputs into the infected cells and to the dual infectious virions (viral load and pathogen) stages. Realistic comparison between control strategies were drawn and explicit evaluation of the system dynamics with the introduction of considerable noise to the dual infectious virions conducted. The result that followed from numerical simulations presented an incredible appreciation of the effectiveness of the nonlinear control for the maximization of health CD4+ T cells count with tremendous suppression of dual virions at a considerable systemic cost. Therefore, the simplicity and application of this model is self-commendable for the elimination of other related co-infectious diseases.
Lyapunov-Control-Function, De-Replication, Dual-Virions, Co-Infectious-Diseases, Microscopically-Indistinguishable, Globally-Asymptomatic
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