# A Fractional COVID-19 Model with Efficacy of Vaccination

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## Abstract

**:**

## 1. Introduction

## 2. Mathematical Model

## 3. Model Analysis

**Proof.**

#### 3.1. Equilibria Points

#### 3.2. Basic Reproduction Number

## 4. Stability of the System

**Proof.**

**Proof.**

## 5. A Fractional Approach

**Theorem**

**4.**

**Proof.**

**Theorem**

**5.**

**Proof.**

## 6. Numerical Simulation

## 7. Graphical Discussion

## 8. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## References

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**Figure 1.**Graphical representation of the susceptible population corresponding to different fractional orders.

**Figure 2.**Graphical representation of the vaccinated population corresponding to different fractional orders.

**Figure 3.**Graphical representation of the exposed population corresponding to different fractional orders.

**Figure 4.**Graphical representation of the infected population corresponding to different fractional orders.

**Figure 5.**Graphical representation of the treatment population corresponding to different fractional orders.

**Figure 6.**Graphical representation of the recovered population corresponding to different fractional orders.

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**MDPI and ACS Style**

Nandhini, M.; Lavanya, R.; Nieto, J.J.
A Fractional COVID-19 Model with Efficacy of Vaccination. *Axioms* **2022**, *11*, 446.
https://doi.org/10.3390/axioms11090446

**AMA Style**

Nandhini M, Lavanya R, Nieto JJ.
A Fractional COVID-19 Model with Efficacy of Vaccination. *Axioms*. 2022; 11(9):446.
https://doi.org/10.3390/axioms11090446

**Chicago/Turabian Style**

Nandhini, M., R. Lavanya, and Juan J. Nieto.
2022. "A Fractional COVID-19 Model with Efficacy of Vaccination" *Axioms* 11, no. 9: 446.
https://doi.org/10.3390/axioms11090446