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Theory and Modern Applications

Table 1 Summary of notation

From: On extinction of infectious diseases for multi-group SIRS models with saturated incidence rate

Notation

Explanation

\(\beta_{kj}\)

Rate of disease transmission between compartments \(S_{k}\) and \(I_{j}\)

\(d^{S}_{k}\), \(d^{I}_{k}\), \(d_{k}^{R}\)

Nature mortality of S, I, R compartments in the kth group, respectively

\(\Lambda_{k}\)

Recruitment rate of the population into the kth group

\(\varepsilon_{k}\)

Fatality rate in the kth group

\(\gamma_{k}\)

Recovery rate of infected individuals in the kth group

\(\delta_{k}\)

Removed rate of recovered individuals in the kth group

\(\alpha_{k}\)

Positive parameter related to kth group