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. 2020 Sep 1:2020:1352982.
doi: 10.1155/2020/1352982. eCollection 2020.

A Model for SARS-CoV-2 Infection with Treatment

Amar Nath Chatterjee  1 , Fahad Al Basir  2
Affiliations

A Model for SARS-CoV-2 Infection with Treatment

Amar Nath Chatterjee et al. Comput Math Methods Med. .

Abstract

The current emergence of coronavirus (SARS-CoV-2) puts the world in threat. The structural research on the receptor recognition by SARS-CoV-2 has identified the key interactions between SARS-CoV-2 spike protein and its host (epithelial cell) receptor, also known as angiotensin-converting enzyme 2 (ACE2). It controls both the cross-species and human-to-human transmissions of SARS-CoV-2. In view of this, we propose and analyze a mathematical model for investigating the effect of CTL responses over the viral mutation to control the viral infection when a postinfection immunostimulant drug (pidotimod) is administered at regular intervals. Dynamics of the system with and without impulses have been analyzed using the basic reproduction number. This study shows that the proper dosing interval and drug dose both are important to eradicate the viral infection.

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Conflict of interest statement

The authors declare that there is no conflict of interest.

Figures

Figure 1
Figure 1
Existence and stability of equilibria is shown with respect to R0. Parameter values used in this figure are taken from Table 1 and m = 10. We have varied the value of β in (0.00001,0.0001).
Figure 2
Figure 2
In the absence of the drug, the effect of the growth rate of CTL, i.e., α on the steady-state values of model population, is shown. Parameter values used in this figure are the same as Figure 1 except α.
Figure 3
Figure 3
Numerical solution of the model system with and without the drug dose is shown taking parameters as in Figure 1. In this figure, τ = 2 and ω = 50.
Figure 4
Figure 4
Numerical solution of the model system for different rates of drug dosing and different intervals of impulses.
See this image and copyright information in PMC

References

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