Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission.

By P. van den Driessche, James Watmough. Mathematical Biosciences, 2002

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Sensitivity analysis of infectious disease models: methods, advances and their application (2013, neutral): “1)) produced by the next generation method [49] indicates that KL, d, g, p, jS, jA, w and l, ( p3, p5, p8, p10, p11, p12, p15) are potentially influential terms.”
Threshold Dynamics for Compartmental Epidemic Models in Periodic Environments (2008, methodology): “whereVi = V − −V + . Following the setting of [ 31 ] for autonomous compartmental epidemic”
Dynamics of a Heroin Epidemic Model with Very Population (2011, methodology): “2 2 1 1 1 δ , δ , V U U p U U U U pU U S S                 , F V have the same definition as explained in [4].”
Analysis and Control of Epidemics: A Survey of Spreading Processes on Complex Networks (2015, background): “Figure 3 shows the described interactions of this well-mixed population.”
Reproduction numbers of infectious disease models (2017, methodology): “Here an outline of thismethod is given, the proofs and further details can be found in van den Driessche and Watmough (2002) and van den Driessche and Watmough (2008).”
The basic reproduction number in some discrete-time epidemic models (2008, neutral): “The basic reproduction number can be used to assess whether a newly infectious disease can invade a population and to estimate the final size of an SIR-type epidemic [ 21 , 33 , 39 ].”