Author: Miles D. Miller-Dickson; Victor A. Meszaros; Francis Baffour-Awuah; Salvador Almagro-Moreno; C. Brandon Ogbunugafor
Title: Waterborne, abiotic and other indirectly transmitted (W.A.I.T.) infections are defined by the dynamics of free-living pathogens and environmental reservoirs Document date: 2019_1_20
ID: d9mxtc8d_18
Snippet: The R 0 formulae (equations 6-7) highlight differences between the models: The square root in the WAIT version arises as a consequence of implementing two infected agents (I and W i ) into the model, as opposed to just one in the SIR case. Next, one notices that the β factor in the SIR formula is augmented by the additional factor α in the WAIT formula, representing a kind of shared dependence between the couplings controlling the I-interaction.....
Document: The R 0 formulae (equations 6-7) highlight differences between the models: The square root in the WAIT version arises as a consequence of implementing two infected agents (I and W i ) into the model, as opposed to just one in the SIR case. Next, one notices that the β factor in the SIR formula is augmented by the additional factor α in the WAIT formula, representing a kind of shared dependence between the couplings controlling the I-interaction (α) and the Sinteraction (β), with the environment. Analogously, what was the responsibility of π S in the SIR formula is now a shared dependence on π S /π W , the ratio of the birthrate of susceptible hosts to that of uninfected environmental agents.
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