Parameters that govern the inflow and outflow from each compartment. N is the number of poultry in markets, S is the number of susceptible poultry in markets, E is the number of exposed but not infectious poultry in markets, I is the number of infectious poultry in markets, R is the number of recovered poultry in markets, H is the number of units of reservoir in markets, S f is the number of susceptible poultry in farms, = 1/average incubation period of the poultry pathogen, = 1/average infectious period of the pathogen, = per capita per day disease-related death rate of poultry, = per day transmission rate of pathogen in markets, m f = per capita per day rate of migration of poultry from farms into markets, m = per capita per day rate of migration of poultry out of markets, b = background rate of birth, = background rate of natural death, = per capita shedding rate of pathogen particles to the environmental reservoir, = baseline per capita per day rate of clearance of environmental reservoir through natural pathogen decay, = multiplicative factor of baseline rate of clearance of environmental reservoir due to cleaning, and = relative efficacy of environmental transmission vs. contact transmission. The solid-line compartments denote compartments where the unit is of poultry, while the dashed-line compartment denotes the compartment where the unit is environmental pathogen particles.
