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Theory and Modern Applications

Table 1 Descriptions and initial values of model variables

From: A dynamic optimal control model for COVID-19 and cholera co-infection in Yemen

Variables

Description

Initial conditions

Source

N

Total population size

29,825,964

[44]

S

Susceptible to both COVID-19 and cholera

N

Assumed

E

Number of exposed to COVID-19

[0,N × 10−6]

[17]

A

Number of asymptomatic COVID-19 individuals

0

Assumed

\(I_{1}\)

Number of COVID-19- infected individuals

0

Assumed

\(R_{1}\)

Recovered from COVID-19

0

Assumed

\(P_{1}\)

Perished by COVID-19

0

Assumed

\(I_{R2}\)

Infected with cholera after recovery from COVID-19

0

Assumed

\(I_{2}\)

Infected with cholera

\(I_{0} = 750\) person

[10]

\(R_{2}\)

Recovered from cholera

0

Assumed

\(P_{2}\)

Perished by cholera

0

Assumed

\(I_{1R}\)

Infected with COVID-19 after recovery from cholera

0

Assumed

\(I_{12}\)

Co-infected with both cholera and COVID-19

0

Assumed

\(R_{12}\)

Recovered from both cholera and COVID-19

0

Assumed

\(P_{12}\)

Perished by both COVID-19 and cholera

0

Assumed

B

Bacterial concentration in the environment (free bacteria population living in the environment)

275 × 103 (cell/ml)

[10]