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 |