Paper

Optimal Control Therapeutic Approach to Recovery of Infected Cells in HIV Model with Expected Time to Extinction of the Disease


Authors:
Nikhilesh Sil; Priti Kumar Roy; Sumit Nandi; Amar Nath Chatterjee; S. Bhattacharya; IL Hyo Jung; S. Mukhopadhyay
Abstract
Controlling disease like HIV/AIDS is a serious concern today. Mathematical modeling with control therapeutic approach for understanding the extinction of disease is quite significant. But under deterministic model this approach is not viable. With a view to obtain the feasibility, stochasticity might play an escalating role in estimating the expected time to extinction of the disease in epidemiological system. In this research article, we consider a deterministic model with therapeutic control approach to find out recovery of the disease after a certain period. Additionally, by incorporating stochasticity we also estimated the expected time to extinction of the disease.
Keywords
HIV; CD4+ T Cell; Transition Rates; Stochastic Version; Quasi-Stationary Distribution; Time to Extinction
StartPage
47
EndPage
63
Doi
10.5963/BER0302003
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