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Table 1 Description of parameters used in the model

From: On the transmission dynamics of Buruli ulcer in Ghana: Insights through a mathematical model

Symbol

Description

\(\beta _H\)

The effective contact rate between the vector and susceptible humans

\(\beta _V\)

The effective contact rate between fish and susceptible vectors

\(\beta _F\)

The effective contact rate between the susceptible fish and Mycobacterium ulcerans

\(\gamma \)

The recovery rate of infected humans

\(\theta \)

The rate of loss of immunity of recovered humans

\(\mu _H\)

Natural mortality rate/birth rate of the human population

\(\mu _V\)

Natural mortality rate of the vector population

\(\mu _F\)

Natural mortality rate of the fish population

\(r_V\)

The growth rate of the vector population

\(r_F\)

The growth rate of the fish population

K

The environmental carrying capacity of the bacteria population

\(\sigma _F\)

Rate of shedding of Mycobacterium ulcerans into the environment by fish

\(\sigma _V\)

Rate of shedding of Mycobacterium ulcerans into the environment by the water bugs

\(\mu _E\)

Rate at which Mycobacterium ulcerans are cleared from the environment