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Theory and Modern Applications

Table 1 List and description of the model parameters

From: A noninteger order SEITR dynamical model for TB

Symbol

Description

Value

Reference

λ

Contact rate

0.1938

Fitted

Λ

Birth rate

2,00,00,063.55072464

Estimated [5]

μ

Natural mortality rate

1/69 = 0.014493

Estimated [4]

\(a_{{1}}\)

Rate at which S(t) is determined as I(t) and remaining people join E(t) compartment

0.7971

Fitted

\(a_{{2}}\)

Rate at which E(t) join \(E_{1}(t)\) or \(E_{2}(t)\) compartment

0.4131

Fitted

σ

Rate at which E(t) is classified as \(E_{1}(t)\) or \(E_{2}(t)\)

0.1995

Fitted

\(a_{{3}}\)

Rate at which \(E_{2}(t)\) join \(E_{1}(t)\) compartment

0.3012

Fitted

\(a_{{4}}\)

Rate at which \(E_{2}(t)\) join I(t) compartment

0.3410

Fitted

\(k_{{1}}\)

Progression rate at which \(E_{2}(t)\) directly join I(t) compartment

0.3269

Fitted

\(a_{{5}}\)

Rate at which T(t) join I(t) compartment

0.2848

Fitted

\(a_{{6}}\)

Rate at which I(t) join \(I_{1}(t)\) or \(I_{2}(t)\) compartment

0.6102

Fitted

\({k}_{{2}}\)

Rate at which I(t) is classified as \(I_{1}(t)\) or \(I_{2}(t)\) compartment

0.4213

Fitted

\(a_{{7}}\)

Rate at which \(E_{1}(t)\) join I(t) compartment

0.5654

Fitted

\(a_{{8}}\)

Rate at which R(t) becomes S(t) individual

0.7139

Fitted

\(r_{{0}}\)

Rate at which \(E_{1}(t)\) join T(t) compartment

0.1512

Fitted

\(r_{{1}}\)

Rate at which \(I_{1}(t)\) join T(t) compartment

0.2177

Fitted

\(r_{{2}}\)

Rate at which \(I_{2}(t)\) join T(t) compartment

0.4913

Fitted

\(r_{{3}}\)

Rate at which T(t) becomes R(t) individual

0.3761

Fitted