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If we assume that disease transmission may only occur along the contacts captured by the matrix C = { C ij } [ 24, 31], we can express the generic entry of the next generation matrix as R ia = β μ C ia α and R ic = β μ C ic 1 − α [ 32, 33] with i ∈ { a, c} and C ij the contact matrix defined in Eq. (1).
The basic reproductive ratio that represents the epidemic indicator is obtained from the largest eigenvalue of the next generation matrix.
From this practical experience and in agreement with Brazil's policy of diversifying the electricity generation matrix, our proposal focuses on a multi-user remote system using Raspberry Pi and Internet of Things (IoT) concept.
B is the symbol generation matrix.
It can be calculated by the method of next generation matrix given in [32].
We get the basic reproduction number R 0 by the next generation matrix method in Section 2.
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Reciprocal, balanced matrices are needed for next generation matrices in mathematical models of disease transmission.
Therefore, the impact of vaccination on the disease incidence sometimes might not be fully revealed in the change (or the lack thereof) in the effective reproduction number with intervention but could still be substantial, since it is a simple mathematical property that distinctly different (next generation) matrices may have similar eigenvalues.
In fact, we think it could easily spell the future of the next-generation Matrix, or replace a car like the ho-hum econobox Toyota Echo.
A threshold criterion (R_{0}), which is referred to as basic reproductive number, can be derived using the spectral radius of the next-generation matrix [19].
In paper [20], the authors follow the concepts of next-generation matrix (NGM) to give a threshold - the basic reproduction number (R_{0}), by which the global stability of a modified SIS model is studied.
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