Waterborne, abiotic and other indirectly transmitted (W.A.I.T.) infections are defined by the dynamics of free-living pathogens and environmental reservoirs

Miles D. Miller-Dickson; Victor A. Meszaros; Francis Baffour-Awuah; Salvador Almagro-Moreno; C. Brandon Ogbunugafor

The R 0 provides a signature of the average infectiousness of a given pathogen in a given setting [34] , [35] . In this model, given the parameters, R 0 = 0.199 (A derivation of the analytic expression for R 0 , as well as details regarding the sensitivity analysis, can be found in the Supplementary Appendix.) Thus, in its current configuration, the model does not describe a self-sustaining epidemic. (This is observable through the decay of the asymptomatic and symptomatic cases as depicted in Figure 3a) . Additionally, the eigenvalues of the Jacobian matrix for the ODE system at the diseasefree equilibrium are real numbers less then or equal to zero, with the largest eigenvalue being zero. Consequently, given enough time, the flow of disease will move to the disease free equilibrium. Compound staggered interventions mimicking an example real world disease management strategy.