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Table 1 List of parameters, variables, and their biological meanings

From: Understanding the relationship between stay-at-home measures and vaccine shortages: a conventional, heterogeneous, and fractional dynamic approach

Notation

Meaning

Value

Reference

\(\beta\)

Transmission rate

1.0

[15]

\(\delta\)

Vaccination rate

0.0–1.0

(Varied)

\(l\)

Lockdown level

0.0–0.9

(Varied)

\({l}_{d}\)

Lockdown day

–

(Varied)

\(q (0\le q\le 1)\)

Lockdown maintenance factor

0.0–1.0

Estimated

\(\alpha\)

Infection rate

1/5

[15]

\(\gamma\)

Recovery rate

0.1

Estimated

\(1-\eta (0\le \eta \le 1)\)

Vaccine efficacy

0.0–1.0

(Varied)

\(S\left(t\right)\)

Number of susceptible individuals

0.9998

Estimated

\(L(t)\)

Lockdown state

0.0

Estimated

\(E(t)\)

Number of exposed individuals

0.0

Estimated

\(I(t)\)

Number of infected individuals

0.0001

Estimated

\(R(t)\)

Number of recovered individuals

0.0

Estimated

\(V(t)\)

Number of vaccinated individuals

0.0

Estimated

\({E}_{V}(t)\)

Number of vaccinated exposed individuals

0.0

Estimated

\({I}_{V}(t)\)

Number of vaccinated infected individuals

0.0001

Estimated

\({R}_{V}(t)\)

Number of vaccinated recovered individuals

0.0

Estimated