Modeling the stochastic within-host dynamics SARS-CoV-2 infection with discrete delay

Elbaz, I. M.; Sohaly, M. A.; El-Metwally, H.

doi:10.1007/s12064-022-00379-5

Cited by 8 publications

(2 citation statements)

References 28 publications

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“…This finding is interesting and will be very beneficial to help organisms eliminate the virus particles and the infected cells. In [21], authors have shown that the equilibrium state E 0 remains stable for increasing values of the noise parameter, and the number of infected cells goes to zero. Moreover, it is found that the noise can stabilize an unstable endemic deterministic system.…”

Section: Discussionmentioning

confidence: 99%

Optimal Drug Regimen and Combined Drug Therapy and Its Efficacy in the Treatment of COVID-19: A Within-Host Modeling Study

Chhetri

Dkk

et al. 2022

Acta Biotheor

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The COVID-19 pandemic has resulted in more than 524 million cases and 6 million deaths worldwide. Various drug interventions targeting multiple stages of COVID-19 pathogenesis can significantly reduce infection-related mortality. The current within-host mathematical modeling study addresses the optimal drug regimen and efficacy of combination therapies in the treatment of COVID-19. The drugs/interventions considered include Arbidol, Remdesivir, Interferon (INF) and Lopinavir/Ritonavir. It is concluded that these drugs, when administered singly or in combination, reduce the number of infected cells and viral load. Four scenarios dealing with the administration of a single drug, two drugs, three drugs and all four are discussed. In all these scenarios, the optimal drug regimen is proposed based on two methods. In the first method, these medical interventions are modeled as control interventions and a corresponding objective function and optimal control problem are formulated. In this framework, the optimal drug regimen is derived. Later, using the comparative effectiveness method, the optimal drug regimen is derived based on the basic reproduction number and viral load. The average number of infected cells and viral load decreased the most when all four drugs were used together. On the other hand, the average number of susceptible cells decreased the most when Arbidol was administered alone. The basic reproduction number and viral load decreased the most when all four interventions were used together, confirming the previously obtained finding of the optimal control problem. The results of this study can help physicians make decisions about the treatment of the life-threatening COVID-19 infection.

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Section: Discussionmentioning

confidence: 99%

Optimal Drug Regimen and Combined Drug Therapy and Its Efficacy in the Treatment of COVID-19: A Within-Host Modeling Study

Chhetri

Dkk

et al. 2022

Acta Biotheor

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“…A wide range of mathematical models that describe various types of diseases can be found in the literature 8 – 14 . Numerous studies with many intriguing mathematical models that have examined the dynamic behavior of SARS-CoV-2 can be found in 2 , 15 , 16 .…”

Section: Introductionmentioning

confidence: 99%

Viral kinetics, stability and sensitivity analysis of the within-host COVID-19 model

Elbaz

El-Metwally

Sohaly

2023

Sci Rep

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This paper delves into the investigation of the COVID-19 dynamics within a host using the Target-Latent-Infected-Virus (TLIV) model, presenting a fresh approach compared to previous studies. Our model introduces a latent class and explores sensitivity analysis, aspects that have received limited attention in prior research. A significant contribution of this study is the analysis of both local and global stability of equilibrium states, subject to specific sufficient conditions based on the basic reproduction number $$R_0$$ R 0 . By examining these stability properties, we aim to gain insights into the factors underlying variations observed in the findings of different studies. Additionally, we identify the death rate of infected cells as the parameter most susceptible to influence in our model. To minimize its impact and facilitate recovery, it is crucial to implement appropriate medical therapies and consume immune-boosting foods. Some computer simulations are carried out to strengthen the theoretical results.

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Lyapunov functions and global stability analysis for epidemic model with n-infectious

Omar,

Sohaly,

El-Metwally

2023

Indian J Phys

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In this paper, an epidemic $${\text{SI}}$$ SI model with $$n$$ n -infectious stages is studied. Lyapunov functions are used to conduct the global stability analysis for equilibrium points. The $$n$$ n -basic reproduction ratios $$R_{1}$$ R 1 , $$R_{2}$$ R 2 , …, $$R_{n}$$ R n are computed, and the basic reproduction number ($$R_{0}$$ R 0 ) is the max value between this ratios is obtained. For, $$j = 1,2,...,n$$ j = 1 , 2 , . . . , n when $$R_{j}$$ R j is less than one, all strains die out, and if it is greater than one, then persists. The disease-free and endemic equilibrium points are found, and we studied the global stability for them by using the direct Lyapunov functions. The Maple program is used for carrying a numerical simulations to support the analytically results.

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Modeling the stochastic within-host dynamics SARS-CoV-2 infection with discrete delay

Cited by 8 publications

References 28 publications

Optimal Drug Regimen and Combined Drug Therapy and Its Efficacy in the Treatment of COVID-19: A Within-Host Modeling Study

Optimal Drug Regimen and Combined Drug Therapy and Its Efficacy in the Treatment of COVID-19: A Within-Host Modeling Study

Viral kinetics, stability and sensitivity analysis of the within-host COVID-19 model

Lyapunov functions and global stability analysis for epidemic model with n-infectious

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