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_20
Snippet: An additional observation can be made regarding the form of the R 0 in the WAIT iteration. R W AIT 0 can be viewed as a geometric mean of two other R 0 -like values: (1) number of new host infections caused infected environmental agents, and (2) number of new environmental agent infections caused by infected hosts. The first of these R 0 -like quantities can be calculated using the rate equations above (1) (2) (3) (4) (5) , assuming that the syst.....
Document: An additional observation can be made regarding the form of the R 0 in the WAIT iteration. R W AIT 0 can be viewed as a geometric mean of two other R 0 -like values: (1) number of new host infections caused infected environmental agents, and (2) number of new environmental agent infections caused by infected hosts. The first of these R 0 -like quantities can be calculated using the rate equations above (1) (2) (3) (4) (5) , assuming that the system is near the disease free equilibrium (DFE)the regime where R 0 is calculated. One will find that the rate of new host infections caused by infected environmental agents, near the DFE, is given by βπ S /(µπ W ). The second R 0 -like quantity refers to the number of new environmental agent infections caused by infected hosts, near the DFE. One will find that this value is given by, α/(µ+ν). Thus, one can see that the form of R 0 given in equation 7 can be written as,
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